Publications

Journal of Convex Analysis 26(1), p.153-188 · 2019

BibLaTeX

@ARTICLE{Wachsmuth:2019:1,
  AUTHOR = {Wachsmuth, Gerd},
  DATE = {2019},
  JOURNALTITLE = {Journal of Convex Analysis},
  NUMBER = {1},
  PAGES = {153--188},
  TITLE = {A guided tour of polyhedric sets},
  VOLUME = {26},
}

2018

The limiting normal cone to pointwise defined sets in Lebesgue spaces Article

Patrick Mehlitz and Gerd Wachsmuth

Set-Valued and Variational Analysis 26(3), p.449-467 · 2018

doi:10.1007/s11228-016-0393-4

BibLaTeX

@ARTICLE{MehlitzWachsmuth:2016:2,
  AUTHOR = {Mehlitz, Patrick and Wachsmuth, Gerd},
  DATE = {2018-09},
  DOI = {10.1007/s11228-016-0393-4},
  JOURNALTITLE = {Set-Valued and Variational Analysis},
  NUMBER = {3},
  PAGES = {449--467},
  TITLE = {The limiting normal cone to pointwise defined sets in Lebesgue spaces},
  VOLUME = {26},
}

The limiting normal cone of a complementarity set in Sobolev spaces Article

Felix Harder and Gerd Wachsmuth

Optimization 67(10), p.1579-1603 · 2018

doi:10.1080/02331934.2018.1484467

BibLaTeX

@ARTICLE{HarderWachsmuth:2018:4,
  AUTHOR = {Harder, Felix and Wachsmuth, Gerd},
  PUBLISHER = {Informa UK Limited},
  DATE = {2018-07},
  DOI = {10.1080/02331934.2018.1484467},
  JOURNALTITLE = {Optimization},
  NUMBER = {10},
  PAGES = {1579--1603},
  TITLE = {The limiting normal cone of a complementarity set in Sobolev spaces},
  VOLUME = {67},
}

Fiber orientation interpolation for the multiscale analysis of short fiber reinforced composite parts Article

Jonathan Köbler, Matti Schneider, Felix Ospald, Heiko Andrä and Ralf Müller

Computational Mechanics 61(6), p.729-750 · 2018

doi:10.1007/s00466-017-1478-0

BibLaTeX

@ARTICLE{KoeblerSchneiderOspaldAndraeMueller:2018:1,
  AUTHOR = {Köbler, Jonathan and Schneider, Matti and Ospald, Felix and Andrä, Heiko and Müller, Ralf},
  PUBLISHER = {Springer Science and Business Media LLC},
  DATE = {2018-04},
  DOI = {10.1007/s00466-017-1478-0},
  JOURNALTITLE = {Computational Mechanics},
  NUMBER = {6},
  PAGES = {729--750},
  TITLE = {Fiber orientation interpolation for the multiscale analysis of short fiber reinforced composite parts},
  VOLUME = {61},
}

Regularization and discretization error estimates for optimal control of ODEs with group sparsity Article

Christopher Schneider and Gerd Wachsmuth

ESAIM: Control, Optimisation and Calculus of Variations 24(2), p.811-834 · 2018

doi:10.1051/cocv/2017049

BibLaTeX

@ARTICLE{SchneiderWachsmuth:2017:1,
  AUTHOR = {Schneider, Christopher and Wachsmuth, Gerd},
  DATE = {2018-04},
  DOI = {10.1051/cocv/2017049},
  JOURNALTITLE = {ESAIM: Control, Optimisation and Calculus of Variations},
  NUMBER = {2},
  PAGES = {811--834},
  TITLE = {Regularization and discretization error estimates for optimal control of ODEs with group sparsity},
  VOLUME = {24},
}

A note on the equivalence and the boundary behavior of a class of Sobolev capacities Article

Constantin Christof and Georg Müller

GAMM-Mitteilungen 40(3), p.238-266 · 2018

doi:10.1002/gamm.201730005

BibLaTeX

@ARTICLE{ChristofMueller:2018:1,
  AUTHOR = {Christof, Constantin and Müller, Georg},
  PUBLISHER = {Wiley},
  DATE = {2018-03},
  DOI = {10.1002/gamm.201730005},
  JOURNALTITLE = {GAMM-Mitteilungen},
  NUMBER = {3},
  PAGES = {238--266},
  TITLE = {A note on the equivalence and the boundary behavior of a class of Sobolev capacities},
  VOLUME = {40},
}

Hunting for reduced polytopes Article

Bernardo González Merino, Thomas Jahn, Alexandr Polyanskii and Gerd Wachsmuth

Discrete & Computational Geometry 60(3), p.801-808 · 2018

arXiv:1701.08629 doi:10.1007/s00454-018-9982-3

BibLaTeX

@ARTICLE{GonzalezMerinoJahnPolyanskiiWachsmuth:2018:1,
  AUTHOR = {González Merino, Bernardo and Jahn, Thomas and Polyanskii, Alexandr and Wachsmuth, Gerd},
  PUBLISHER = {Springer Science and Business Media LLC},
  DATE = {2018-03},
  DOI = {10.1007/s00454-018-9982-3},
  EPRINT = {1701.08629},
  EPRINTTYPE = {arXiv},
  JOURNALTITLE = {Discrete \& Computational Geometry},
  NUMBER = {3},
  PAGES = {801--808},
  TITLE = {Hunting for reduced polytopes},
  VOLUME = {60},
}

A variational model for data fitting on manifolds by minimizing the acceleration of a Bézier curve Article

Ronny Bergmann and Pierre-Yves Gousenbourger

Frontiers in Applied Mathematics and Statistics 4 · 2018

arXiv:1807.10090 doi:10.3389/fams.2018.00059

BibLaTeX

@ARTICLE{BergmannGousenbourger:2018:2,
  AUTHOR = {Bergmann, Ronny and Gousenbourger, Pierre-Yves},
  DATE = {2018},
  DOI = {10.3389/fams.2018.00059},
  EPRINT = {1807.10090},
  EPRINTTYPE = {arXiv},
  JOURNALTITLE = {Frontiers in Applied Mathematics and Statistics},
  TITLE = {A variational model for data fitting on manifolds by minimizing the acceleration of a Bézier curve},
  VOLUME = {4},
}

Second-order analysis and numerical approximation for bang-bang bilinear control problems Article

Eduardo Casas, Daniel Wachsmuth and Gerd Wachsmuth

SIAM Journal on Control and Optimization 56(6), p.4203-4227 · 2018

doi:10.1137/17m1139953

BibLaTeX

@ARTICLE{CasasWachsmuthWachsmuth:2018:1,
  AUTHOR = {Casas, Eduardo and Wachsmuth, Daniel and Wachsmuth, Gerd},
  PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)},
  DATE = {2018-01},
  DOI = {10.1137/17m1139953},
  JOURNALTITLE = {SIAM Journal on Control and Optimization},
  NUMBER = {6},
  PAGES = {4203--4227},
  TITLE = {Second-order analysis and numerical approximation for bang-bang bilinear control problems},
  VOLUME = {56},
}

No-gap second-order conditions via a directional curvature functional Article

Constantin Christof and Gerd Wachsmuth

SIAM Journal on Optimization 28(3), p.2097-2130 · 2018

doi:10.1137/17M1140418

BibLaTeX

@ARTICLE{ChristofWachsmuth:2018:1,
  AUTHOR = {Christof, Constantin and Wachsmuth, Gerd},
  DATE = {2018},
  DOI = {10.1137/17M1140418},
  JOURNALTITLE = {SIAM Journal on Optimization},
  NUMBER = {3},
  PAGES = {2097--2130},
  TITLE = {No-gap second-order conditions via a directional curvature functional},
  VOLUME = {28},
}

On the non-polyhedricity of sets with upper and lower bounds in dual spaces Article

Constantin Christof and Gerd Wachsmuth

GAMM-Mitteilungen 40(4), p.339-350 · 2018

doi:10.1002/gamm.201740005

BibLaTeX

@ARTICLE{ChristofWachsmuth:2018:2,
  AUTHOR = {Christof, Constantin and Wachsmuth, Gerd},
  DATE = {2018},
  DOI = {10.1002/gamm.201740005},
  JOURNALTITLE = {GAMM-Mitteilungen},
  NUMBER = {4},
  PAGES = {339--350},
  TITLE = {On the non-polyhedricity of sets with upper and lower bounds in dual spaces},
  VOLUME = {40},
}

Optimum experimental design by shape optimization of specimens in linear elasticity Article

Tommy Etling and Roland Herzog

SIAM Journal on Applied Mathematics 78(3), p.1553-1576 · 2018

doi:10.1137/17M1147743

BibLaTeX

@ARTICLE{EtlingHerzog:2018:1,
  AUTHOR = {Etling, Tommy and Herzog, Roland},
  DATE = {2018},
  DOI = {10.1137/17M1147743},
  JOURNALTITLE = {SIAM Journal on Applied Mathematics},
  NUMBER = {3},
  PAGES = {1553--1576},
  TITLE = {Optimum experimental design by shape optimization of specimens in linear elasticity},
  VOLUME = {78},
}

Legendre forms in reflexive Banach spaces Article

Felix Harder

Zeitschrift für Analysis und ihre Anwendungen 37(4), p.377-388 · 2018

doi:10.4171/zaa/1619

BibLaTeX

@ARTICLE{Harder:2018:1,
  AUTHOR = {Harder, Felix},
  DATE = {2018},
  DOI = {10.4171/zaa/1619},
  JOURNALTITLE = {Zeitschrift für Analysis und ihre Anwendungen},
  NUMBER = {4},
  PAGES = {377--388},
  TITLE = {Legendre forms in reflexive Banach spaces},
  VOLUME = {37},
}

Comparison of optimality systems for the optimal control of the obstacle problem Article

Felix Harder and Gerd Wachsmuth

GAMM-Mitteilungen 40(4), p.312-338 · 2018

doi:10.1002/gamm.201740004

BibLaTeX

@ARTICLE{HarderWachsmuth:2018:5,
  AUTHOR = {Harder, Felix and Wachsmuth, Gerd},
  DATE = {2018},
  DOI = {10.1002/gamm.201740004},
  JOURNALTITLE = {GAMM-Mitteilungen},
  NUMBER = {4},
  PAGES = {312--338},
  TITLE = {Comparison of optimality systems for the optimal control of the obstacle problem},
  VOLUME = {40},
}

Analysis and an interior point approach for TV image reconstruction problems on smooth surfaces Article

Marc Herrmann, Roland Herzog, Heiko Kröner, Stephan Schmidt and José Vidal-Núñez

SIAM Journal on Imaging Sciences 11(2), p.889-922 · 2018

doi:10.1137/17M1128022

BibLaTeX

@ARTICLE{HerrmannHerzogKroenerSchmidtVidalNunez:2018:1,
  AUTHOR = {Herrmann, Marc and Herzog, Roland and Kröner, Heiko and Schmidt, Stephan and Vidal-Núñez, José},
  DATE = {2018},
  DOI = {10.1137/17M1128022},
  JOURNALTITLE = {SIAM Journal on Imaging Sciences},
  NUMBER = {2},
  PAGES = {889--922},
  TITLE = {Analysis and an interior point approach for TV image reconstruction problems on smooth surfaces},
  VOLUME = {11},
}

Optimal sensor placement for joint parameter and state estimation problems in large-scale dynamical systems with applications to thermo-mechanics Article

Roland Herzog, Ilka Riedel and Dariusz Uciński

Optimization and Engineering 19(3), p.591-627 · 2018

doi:10.1007/s11081-018-9391-8

BibLaTeX

@ARTICLE{HerzogRiedelUcinski:2018:1,
  AUTHOR = {Herzog, Roland and Riedel, Ilka and Uciński, Dariusz},
  DATE = {2018},
  DOI = {10.1007/s11081-018-9391-8},
  JOURNALTITLE = {Optimization and Engineering},
  NUMBER = {3},
  PAGES = {591--627},
  TITLE = {Optimal sensor placement for joint parameter and state estimation problems in large-scale dynamical systems with applications to thermo-mechanics},
  VOLUME = {19},
}

Optimal control of an elastic crane-trolley-load system—A case study for optimal control of coupled ODE-PDE systems Article

Sven-Joachim Kimmerle, Matthias Gerdts and Roland Herzog

Mathematical and Computer Modelling of Dynamical Systems 24(2), p.182-206 · 2018

doi:10.1080/13873954.2017.1405046

BibLaTeX

@ARTICLE{KimmerleGerdtsHerzog:2018:1,
  AUTHOR = {Kimmerle, Sven-Joachim and Gerdts, Matthias and Herzog, Roland},
  INSTITUTION = {Mathematical and Computer Modeling of Dynamical Systems},
  DATE = {2018},
  DOI = {10.1080/13873954.2017.1405046},
  JOURNALTITLE = {Mathematical and Computer Modelling of Dynamical Systems},
  NUMBER = {2},
  PAGES = {182--206},
  TITLE = {Optimal control of an elastic crane-trolley-load system---A case study for optimal control of coupled ODE-PDE systems},
  VOLUME = {24},
}

An optimal control problem for a rotating elastic crane-trolley-load system Article

Sven-Joachim Kimmerle, Matthias Gerdts and Roland Herzog

IFAC-PapersOnLine 51(2), p.272-277 · 2018

doi:10.1016/j.ifacol.2018.03.047

BibLaTeX

@ARTICLE{KimmerleGerdtsHerzog:2018:2,
  AUTHOR = {Kimmerle, Sven-Joachim and Gerdts, Matthias and Herzog, Roland},
  PUBLISHER = {Elsevier BV},
  DATE = {2018},
  DOI = {10.1016/j.ifacol.2018.03.047},
  JOURNALTITLE = {IFAC-PapersOnLine},
  NUMBER = {2},
  PAGES = {272--277},
  TITLE = {An optimal control problem for a rotating elastic crane-trolley-load system},
  VOLUME = {51},
}

Pointwise constraints in vector-valued Sobolev spaces. With applications in optimal control Article

Applied Mathematics & Optimization 77(3), p.463-497 · 2018

doi:10.1007/s00245-016-9381-1

BibLaTeX

@ARTICLE{Wachsmuth:2018:1,
  AUTHOR = {Wachsmuth, Gerd},
  DATE = {2018},
  DOI = {10.1007/s00245-016-9381-1},
  JOURNALTITLE = {Applied Mathematics \& Optimization},
  NUMBER = {3},
  PAGES = {463--497},
  TITLE = {Pointwise constraints in vector-valued Sobolev spaces. With applications in optimal control},
  VOLUME = {77},
}

2017

A fiber orientation-adapted integration scheme for computing the hyperelastic Tucker average for short fiber reinforced composites Article

Niels Goldberg, Felix Ospald and Matti Schneider

Computational Mechanics 60(4), p.595-611 · 2017

doi:10.1007/s00466-017-1425-0

BibLaTeX

@ARTICLE{GoldbergOspaldSchneider:2017:1,
  AUTHOR = {Goldberg, Niels and Ospald, Felix and Schneider, Matti},
  PUBLISHER = {Springer Science and Business Media LLC},
  DATE = {2017-06},
  DOI = {10.1007/s00466-017-1425-0},
  JOURNALTITLE = {Computational Mechanics},
  NUMBER = {4},
  PAGES = {595--611},
  TITLE = {A fiber orientation-adapted integration scheme for computing the hyperelastic Tucker average for short fiber reinforced composites},
  VOLUME = {60},
}

Analysis of spatio-temporally sparse optimal control problems of semilinear parabolic equations Article

Eduardo Casas, Roland Herzog and Gerd Wachsmuth

ESAIM: Control, Optimisation and Calculus of Variations 23(1), p.263-295 · 2017

doi:10.1051/cocv/2015048

BibLaTeX

@ARTICLE{CasasHerzogWachsmuth:2017:1,
  AUTHOR = {Casas, Eduardo and Herzog, Roland and Wachsmuth, Gerd},
  DATE = {2017},
  DOI = {10.1051/cocv/2015048},
  JOURNALTITLE = {ESAIM: Control, Optimisation and Calculus of Variations},
  NUMBER = {1},
  PAGES = {263--295},
  TITLE = {Analysis of spatio-temporally sparse optimal control problems of semilinear parabolic equations},
  VOLUME = {23},
}

Sufficient second-order conditions for bang-bang control problems Article

Eduardo Casas, Daniel Wachsmuth and Gerd Wachsmuth

SIAM Journal on Control and Optimization 55(5), p.3066-3090 · 2017

doi:10.1137/16M1099674

BibLaTeX

@ARTICLE{CasasWachsmuthWachsmuth:2017:1,
  AUTHOR = {Casas, Eduardo and Wachsmuth, Daniel and Wachsmuth, Gerd},
  DATE = {2017},
  DOI = {10.1137/16M1099674},
  JOURNALTITLE = {SIAM Journal on Control and Optimization},
  NUMBER = {5},
  PAGES = {3066--3090},
  TITLE = {Sufficient second-order conditions for bang-bang control problems},
  VOLUME = {55},
}

Existence of solutions of a thermoviscoplastic model and associated optimal control problems Article

Roland Herzog, Christian Meyer and Ailyn Stötzner

Nonlinear Analysis: Real World Applications 35, p.75-101 · 2017

doi:10.1016/j.nonrwa.2016.10.008

BibLaTeX

@ARTICLE{HerzogMeyerStoetzner:2017:1,
  AUTHOR = {Herzog, Roland and Meyer, Christian and Stötzner, Ailyn},
  DATE = {2017},
  DOI = {10.1016/j.nonrwa.2016.10.008},
  JOURNALTITLE = {Nonlinear Analysis: Real World Applications},
  PAGES = {75--101},
  TITLE = {Existence of solutions of a thermoviscoplastic model and associated optimal control problems},
  VOLUME = {35},
}

Parameter identification for short fiber-reinforced plastics using optimal experimental design Article

Roland Herzog and Felix Ospald

International Journal for Numerical Methods in Engineering 110(8), p.703-725 · 2017

doi:10.1002/nme.5371

BibLaTeX

@ARTICLE{HerzogOspald:2017:1,
  AUTHOR = {Herzog, Roland and Ospald, Felix},
  PUBLISHER = {John Wiley \& Sons, Ltd},
  DATE = {2017},
  DOI = {10.1002/nme.5371},
  JOURNALTITLE = {International Journal for Numerical Methods in Engineering},
  NUMBER = {8},
  PAGES = {703--725},
  TITLE = {Parameter identification for short fiber-reinforced plastics using optimal experimental design},
  VOLUME = {110},
}

A modified implementation of MINRES to monitor residual subvector norms for block systems Article

Roland Herzog and Kirk Soodhalter

SIAM Journal on Scientific Computing 39(6), p.A2645-A2663 · 2017

arXiv:1603.04475 doi:10.1137/16M1093021

BibLaTeX

@ARTICLE{HerzogSoodhalter:2017:1,
  AUTHOR = {Herzog, Roland and Soodhalter, Kirk},
  DATE = {2017},
  DOI = {10.1137/16M1093021},
  EPRINT = {1603.04475},
  EPRINTTYPE = {arXiv},
  JOURNALTITLE = {SIAM Journal on Scientific Computing},
  NUMBER = {6},
  PAGES = {A2645--A2663},
  TITLE = {A modified implementation of MINRES to monitor residual subvector norms for block systems},
  VOLUME = {39},
}

A conjugate direction method for linear systems in Banach spaces Article

Roland Herzog and Winnifried Wollner

Journal of Inverse and Ill-Posed Problems 25(5), p.553-572 · 2017

doi:10.1515/jiip-2016-0027

BibLaTeX

@ARTICLE{HerzogWollner:2017:1,
  AUTHOR = {Herzog, Roland and Wollner, Winnifried},
  DATE = {2017},
  DOI = {10.1515/jiip-2016-0027},
  JOURNALTITLE = {Journal of Inverse and Ill-Posed Problems},
  NUMBER = {5},
  PAGES = {553--572},
  TITLE = {A conjugate direction method for linear systems in Banach spaces},
  VOLUME = {25},
}

Optimal control of a system of reaction-diffusion equations modeling the wine fermentation process Article

Juri Merger, Alfio Borzì and Roland Herzog

Optimal Control Applications and Methods 38(1), p.112-132 · 2017

doi:10.1002/oca.2246

BibLaTeX

@ARTICLE{MergerBorziHerzog:2017:1,
  AUTHOR = {Merger, Juri and Borzì, Alfio and Herzog, Roland},
  DATE = {2017},
  DOI = {10.1002/oca.2246},
  JOURNALTITLE = {Optimal Control Applications and Methods},
  NUMBER = {1},
  PAGES = {112--132},
  TITLE = {Optimal control of a system of reaction-diffusion equations modeling the wine fermentation process},
  VOLUME = {38},
}

On the control of time discretized dynamic contact problems Article

Georg Müller and Anton Schiela

Computational Optimization and Applications 68(2), p.243-287 · 2017

doi:10.1007/s10589-017-9918-5

BibLaTeX

@ARTICLE{MuellerSchiela:2017:1,
  AUTHOR = {Müller, Georg and Schiela, Anton},
  DATE = {2017},
  DOI = {10.1007/s10589-017-9918-5},
  JOURNALTITLE = {Computational Optimization and Applications},
  NUMBER = {2},
  PAGES = {243--287},
  TITLE = {On the control of time discretized dynamic contact problems},
  VOLUME = {68},
}

Mass lumping for the optimal control of elliptic partial differential equations Article

Arnd Rösch and Gerd Wachsmuth

SIAM Journal on Numerical Analysis 55(3), p.1412-1436 · 2017

doi:10.1137/16M1074473

BibLaTeX

@ARTICLE{RoeschWachsmuth:2017:1,
  AUTHOR = {Rösch, Arnd and Wachsmuth, Gerd},
  DATE = {2017},
  DOI = {10.1137/16M1074473},
  JOURNALTITLE = {SIAM Journal on Numerical Analysis},
  NUMBER = {3},
  PAGES = {1412--1436},
  TITLE = {Mass lumping for the optimal control of elliptic partial differential equations},
  VOLUME = {55},
}

Optimal control of a rate-independent evolution equation via viscous regularization Article

Ulisse Stefanelli, Daniel Wachsmuth and Gerd Wachsmuth

Discrete and Continuous Dynamical Systems - Series S 10(6), p.1467-1485 · 2017

doi:10.3934/dcdss.2017076

BibLaTeX

@ARTICLE{StefanelliWachsmuthWachsmuth:2017:1,
  AUTHOR = {Stefanelli, Ulisse and Wachsmuth, Daniel and Wachsmuth, Gerd},
  DATE = {2017},
  DOI = {10.3934/dcdss.2017076},
  JOURNALTITLE = {Discrete and Continuous Dynamical Systems - Series S},
  NUMBER = {6},
  PAGES = {1467--1485},
  TITLE = {Optimal control of a rate-independent evolution equation via viscous regularization},
  VOLUME = {10},
}

Strong stationarity for optimization problems with complementarity constraints in absence of polyhedricity Article

Set-Valued and Variational Analysis 25(1), p.133-175 · 2017

doi:10.1007/s11228-016-0370-y

BibLaTeX

@ARTICLE{Wachsmuth:2017:1,
  AUTHOR = {Wachsmuth, Gerd},
  DATE = {2017},
  DOI = {10.1007/s11228-016-0370-y},
  JOURNALTITLE = {Set-Valued and Variational Analysis},
  NUMBER = {1},
  PAGES = {133--175},
  TITLE = {Strong stationarity for optimization problems with complementarity constraints in absence of polyhedricity},
  VOLUME = {25},
}

Conforming approximation of convex functions with the finite element method Article

Numerische Mathematik 137(3), p.741-772 · 2017

doi:10.1007/s00211-017-0884-8

BibLaTeX

@ARTICLE{Wachsmuth:2017:2,
  AUTHOR = {Wachsmuth, Gerd},
  DATE = {2017},
  DOI = {10.1007/s00211-017-0884-8},
  JOURNALTITLE = {Numerische Mathematik},
  NUMBER = {3},
  PAGES = {741--772},
  TITLE = {Conforming approximation of convex functions with the finite element method},
  VOLUME = {137},
}

2016

Optimal control problems in finite strain elasticity by inner pressure and fiber tension Article

Andreas Günnel and Roland Herzog

Frontiers in Applied Mathematics and Statistics 2(4) · 2016

doi:10.3389/fams.2016.00004

BibLaTeX

@ARTICLE{GuennelHerzog:2016:1,
  AUTHOR = {Günnel, Andreas and Herzog, Roland},
  DATE = {2016},
  DOI = {10.3389/fams.2016.00004},
  JOURNALTITLE = {Frontiers in Applied Mathematics and Statistics},
  NUMBER = {4},
  TITLE = {Optimal control problems in finite strain elasticity by inner pressure and fiber tension},
  VOLUME = {2},
}

Preconditioned solution of state gradient constrained elliptic optimal control problems Article

Roland Herzog and Susann Mach

SIAM Journal on Numerical Analysis 54(2), p.688-718 · 2016

doi:10.1137/130948045

BibLaTeX

@ARTICLE{HerzogMach:2016:1,
  AUTHOR = {Herzog, Roland and Mach, Susann},
  DATE = {2016},
  DOI = {10.1137/130948045},
  JOURNALTITLE = {SIAM Journal on Numerical Analysis},
  NUMBER = {2},
  PAGES = {688--718},
  TITLE = {Preconditioned solution of state gradient constrained elliptic optimal control problems},
  VOLUME = {54},
}

Weak and strong stationarity in generalized bilevel programming and bilevel optimal control Article

Patrick Mehlitz and Gerd Wachsmuth

Optimization 65(5), p.907-935 · 2016

doi:10.1080/02331934.2015.1122007

BibLaTeX

@ARTICLE{MehlitzWachsmuth:2016:1,
  AUTHOR = {Mehlitz, Patrick and Wachsmuth, Gerd},
  DATE = {2016},
  DOI = {10.1080/02331934.2015.1122007},
  JOURNALTITLE = {Optimization},
  NUMBER = {5},
  PAGES = {907--935},
  TITLE = {Weak and strong stationarity in generalized bilevel programming and bilevel optimal control},
  VOLUME = {65},
}

Optimal control of static elastoplasticity in primal formulation Article

Juan Carlos de los Reyes, Roland Herzog and Christian Meyer

SIAM Journal on Control and Optimization 54(6), p.3016-3039 · 2016

doi:10.1137/130920861

BibLaTeX

@ARTICLE{DeLosReyesHerzogMeyer:2016:1,
  AUTHOR = {de los Reyes, Juan Carlos and Herzog, Roland and Meyer, Christian},
  DATE = {2016},
  DOI = {10.1137/130920861},
  JOURNALTITLE = {SIAM Journal on Control and Optimization},
  NUMBER = {6},
  PAGES = {3016--3039},
  TITLE = {Optimal control of static elastoplasticity in primal formulation},
  VOLUME = {54},
}

Computational homogenization of elasticity on a staggered grid Article

Matti Schneider, Felix Ospald and Matthias Kabel

International Journal for Numerical Methods in Engineering 105(9), p.693-720 · 2016

doi:10.1002/nme.5008

BibLaTeX

@ARTICLE{SchneiderOspaldKabel:2016:1,
  AUTHOR = {Schneider, Matti and Ospald, Felix and Kabel, Matthias},
  DATE = {2016},
  DOI = {10.1002/nme.5008},
  JOURNALTITLE = {International Journal for Numerical Methods in Engineering},
  NUMBER = {9},
  PAGES = {693--720},
  TITLE = {Computational homogenization of elasticity on a staggered grid},
  VOLUME = {105},
}

A model order reduction method for computational homogenization at finite strains on regular grids using hyperelastic laminates to approximate interfaces Article

Matti Schneider, Felix Ospald and Matthias Kabel

Computer Methods in Applied Mechanics and Engineering 309, p.476-496 · 2016

doi:10.1016/j.cma.2016.06.021

BibLaTeX

@ARTICLE{SchneiderOspaldKabel:2016:2,
  AUTHOR = {Schneider, Matti and Ospald, Felix and Kabel, Matthias},
  DATE = {2016},
  DOI = {10.1016/j.cma.2016.06.021},
  JOURNALTITLE = {Computer Methods in Applied Mechanics and Engineering},
  PAGES = {476--496},
  TITLE = {A model order reduction method for computational homogenization at finite strains on regular grids using hyperelastic laminates to approximate interfaces},
  VOLUME = {309},
}

A-posteriori error estimation for control-constrained, linear-quadratic optimal control problems Article

René Schneider and Gerd Wachsmuth

SIAM Journal on Numerical Analysis 54(2), p.1169-1192 · 2016

doi:10.1137/15M1020460

BibLaTeX

@ARTICLE{SchneiderWachsmuth:2016:1,
  AUTHOR = {Schneider, René and Wachsmuth, Gerd},
  DATE = {2016},
  DOI = {10.1137/15M1020460},
  JOURNALTITLE = {SIAM Journal on Numerical Analysis},
  NUMBER = {2},
  PAGES = {1169--1192},
  TITLE = {A-posteriori error estimation for control-constrained, linear-quadratic optimal control problems},
  VOLUME = {54},
}

How not to discretize the control Article

Daniel Wachsmuth and Gerd Wachsmuth

Proceedings in Applied Mathematics and Mechanics 16(1), p.793-794 · 2016

doi:10.1002/pamm.201610385

BibLaTeX

@ARTICLE{WachsmuthWachsmuth:2016:1,
  AUTHOR = {Wachsmuth, Daniel and Wachsmuth, Gerd},
  DATE = {2016},
  DOI = {10.1002/pamm.201610385},
  JOURNALTITLE = {Proceedings in Applied Mathematics and Mechanics},
  NUMBER = {1},
  PAGES = {793--794},
  TITLE = {How not to discretize the control},
  VOLUME = {16},
}

Optimal control of quasistatic plasticity with linear kinematic hardening III: optimality conditions Article

Zeitschrift für Analysis und ihre Anwendungen 35(1), p.81-118 · 2016

doi:10.4171/ZAA/1556

BibLaTeX

@ARTICLE{Wachsmuth:2016:2,
  AUTHOR = {Wachsmuth, Gerd},
  DATE = {2016},
  DOI = {10.4171/ZAA/1556},
  JOURNALTITLE = {Zeitschrift für Analysis und ihre Anwendungen},
  NUMBER = {1},
  PAGES = {81--118},
  TITLE = {Optimal control of quasistatic plasticity with linear kinematic hardening III: optimality conditions},
  VOLUME = {35},
}

Towards M-stationarity for optimal control of the obstacle problem with control constraints Article

SIAM Journal on Control and Optimization 54(2), p.964-986 · 2016

doi:10.1137/140980582

BibLaTeX

@ARTICLE{Wachsmuth:2016:3,
  AUTHOR = {Wachsmuth, Gerd},
  DATE = {2016},
  DOI = {10.1137/140980582},
  JOURNALTITLE = {SIAM Journal on Control and Optimization},
  NUMBER = {2},
  PAGES = {964--986},
  TITLE = {Towards M-stationarity for optimal control of the obstacle problem with control constraints},
  VOLUME = {54},
}

2015

Annular and sectorial sparsity in optimal control of elliptic equations Article

Roland Herzog, Johannes Obermeier and Gerd Wachsmuth

Computational Optimization and Applications 62(1), p.157-180 · 2015

doi:10.1007/s10589-014-9721-5

BibLaTeX

@ARTICLE{HerzogObermeierWachsmuth:2015:1,
  AUTHOR = {Herzog, Roland and Obermeier, Johannes and Wachsmuth, Gerd},
  DATE = {2015},
  DOI = {10.1007/s10589-014-9721-5},
  JOURNALTITLE = {Computational Optimization and Applications},
  NUMBER = {1},
  PAGES = {157--180},
  TITLE = {Annular and sectorial sparsity in optimal control of elliptic equations},
  VOLUME = {62},
}

Sequentially optimal sensor placement in thermoelastic models for real time applications Article

Roland Herzog and Ilka Riedel

Optimization and Engineering 16(4), p.737-766 · 2015

doi:10.1007/s11081-015-9275-0

BibLaTeX

@ARTICLE{HerzogRiedel:2015:1,
  AUTHOR = {Herzog, Roland and Riedel, Ilka},
  PUBLISHER = {Springer US},
  DATE = {2015},
  DOI = {10.1007/s11081-015-9275-0},
  JOURNALTITLE = {Optimization and Engineering},
  NUMBER = {4},
  PAGES = {737--766},
  TITLE = {Sequentially optimal sensor placement in thermoelastic models for real time applications},
  VOLUME = {16},
}

Superlinear convergence of Krylov subspace methods for self-adjoint problems in Hilbert space Article

Roland Herzog and Ekkehard Sachs

SIAM Journal on Numerical Analysis 53(3), p.1304-1324 · 2015

doi:10.1137/140973050

BibLaTeX

@ARTICLE{HerzogSachs:2015:1,
  AUTHOR = {Herzog, Roland and Sachs, Ekkehard},
  DATE = {2015},
  DOI = {10.1137/140973050},
  JOURNALTITLE = {SIAM Journal on Numerical Analysis},
  NUMBER = {3},
  PAGES = {1304--1324},
  TITLE = {Superlinear convergence of Krylov subspace methods for self-adjoint problems in Hilbert space},
  VOLUME = {53},
}

Erratum to: Directional sparsity in optimal control of partial differential equations Article

Roland Herzog, Georg Stadler and Gerd Wachsmuth

SIAM Journal on Control and Optimization 53(4), p.2722-2723 · 2015

doi:10.1137/15M102544X

BibLaTeX

@ARTICLE{HerzogStadlerWachsmuth:2015:1,
  AUTHOR = {Herzog, Roland and Stadler, Georg and Wachsmuth, Gerd},
  DATE = {2015},
  DOI = {10.1137/15M102544X},
  JOURNALTITLE = {SIAM Journal on Control and Optimization},
  NUMBER = {4},
  PAGES = {2722--2723},
  TITLE = {Erratum to: Directional sparsity in optimal control of partial differential equations},
  VOLUME = {53},
}

Achieving optimal convergence order for FEM in control constrained optimal control problems Article

René Schneider and Gerd Wachsmuth

Proceedings in Applied Mathematics and Mechanics 15(1), p.731-734 · 2015

doi:10.1002/pamm.201510350

BibLaTeX

@ARTICLE{SchneiderWachsmuth:2015:1,
  AUTHOR = {Schneider, René and Wachsmuth, Gerd},
  DATE = {2015},
  DOI = {10.1002/pamm.201510350},
  JOURNALTITLE = {Proceedings in Applied Mathematics and Mechanics},
  NUMBER = {1},
  PAGES = {731--734},
  TITLE = {Achieving optimal convergence order for FEM in control constrained optimal control problems},
  VOLUME = {15},
}

Optimal control of quasistatic plasticity with linear kinematic hardening II: regularization and differentiability Article

Zeitschrift für Analysis und ihre Anwendungen 34(4), p.391-418 · 2015

doi:10.4171/ZAA/1546

BibLaTeX

@ARTICLE{Wachsmuth:2015:1,
  AUTHOR = {Wachsmuth, Gerd},
  DATE = {2015},
  DOI = {10.4171/ZAA/1546},
  JOURNALTITLE = {Zeitschrift für Analysis und ihre Anwendungen},
  NUMBER = {4},
  PAGES = {391--418},
  TITLE = {Optimal control of quasistatic plasticity with linear kinematic hardening II: regularization and differentiability},
  VOLUME = {34},
}

Mathematical programs with complementarity constraints in Banach spaces Article

Journal of Optimization Theory and Applications 166(2), p.480-507 · 2015

doi:10.1007/s10957-014-0695-3

BibLaTeX

@ARTICLE{Wachsmuth:2015:2,
  AUTHOR = {Wachsmuth, Gerd},
  PUBLISHER = {Springer US},
  DATE = {2015},
  DOI = {10.1007/s10957-014-0695-3},
  JOURNALTITLE = {Journal of Optimization Theory and Applications},
  NUMBER = {2},
  PAGES = {480--507},
  TITLE = {Mathematical programs with complementarity constraints in Banach spaces},
  VOLUME = {166},
}

2014

Analytical computation of multiple interference fits under elasto-plastic deformations Article

Gerd Wachsmuth, Michael Lätzer and Erhard Leidich

Zeitschrift für Angewandte Mathematik und Mechanik 94(12), p.1058-1064 · 2014

doi:10.1002/zamm.201300041

BibLaTeX

@ARTICLE{WachsmuthLaetzerLeidich:2013:1,
  AUTHOR = {Wachsmuth, Gerd and Lätzer, Michael and Leidich, Erhard},
  PUBLISHER = {Wiley},
  DATE = {2014-12},
  DOI = {10.1002/zamm.201300041},
  JOURNALTITLE = {Zeitschrift für Angewandte Mathematik und Mechanik},
  NUMBER = {12},
  PAGES = {1058--1064},
  TITLE = {Analytical computation of multiple interference fits under elasto-plastic deformations},
  VOLUME = {94},
}

A note on preconditioners and scalar products in Krylov subspace methods for self-adjoint problems in Hilbert space Article

Andreas Günnel, Roland Herzog and Ekkehard Sachs

Electronic Transactions on Numerical Analysis 41, p.13-20 · 2014

https://etna.mcs.kent.edu/volumes/2011-2020/vol41/

BibLaTeX

@ARTICLE{GuennelHerzogSachs:2014:1,
  AUTHOR = {Günnel, Andreas and Herzog, Roland and Sachs, Ekkehard},
  URL = {https://etna.mcs.kent.edu/volumes/2011-2020/vol41/},
  DATE = {2014},
  JOURNALTITLE = {Electronic Transactions on Numerical Analysis},
  PAGES = {13--20},
  TITLE = {A note on preconditioners and scalar products in Krylov subspace methods for self-adjoint problems in Hilbert space},
  VOLUME = {41},
}

Optimal control of an oblique derivative problem Article

Daniel Wachsmuth and Gerd Wachsmuth

Annals of the Academy of Romanian Scientists. Series on Mathematics and its Applications 6(1), p.50-73 · 2014

https://www.ingentaconnect.com/content/doaj/20665997/2014/00000006/00000001/art00003

BibLaTeX

@ARTICLE{WachsmuthWachsmuth:2014:1,
  AUTHOR = {Wachsmuth, Daniel and Wachsmuth, Gerd},
  URL = {https://www.ingentaconnect.com/content/doaj/20665997/2014/00000006/00000001/art00003},
  DATE = {2014},
  JOURNALTITLE = {Annals of the Academy of Romanian Scientists. Series on Mathematics and its Applications},
  NUMBER = {1},
  PAGES = {50--73},
  TITLE = {Optimal control of an oblique derivative problem},
  VOLUME = {6},
}

Differentiability of implicit functions: beyond the implicit function theorem Article

Journal of Mathematical Analysis and Applications 414(1), p.259-272 · 2014

doi:10.1016/j.jmaa.2014.01.007

BibLaTeX

@ARTICLE{Wachsmuth:2014:1,
  AUTHOR = {Wachsmuth, Gerd},
  DATE = {2014},
  DOI = {10.1016/j.jmaa.2014.01.007},
  JOURNALTITLE = {Journal of Mathematical Analysis and Applications},
  NUMBER = {1},
  PAGES = {259--272},
  TITLE = {Differentiability of implicit functions: beyond the implicit function theorem},
  VOLUME = {414},
}

The numerical solution of Newton's problem of least resistance Article

Mathematical Programming 147(1–2), p.331-350 · 2014

doi:10.1007/s10107-014-0756-2

BibLaTeX

@ARTICLE{Wachsmuth:2014:2,
  AUTHOR = {Wachsmuth, Gerd},
  PUBLISHER = {Springer Berlin Heidelberg},
  DATE = {2014},
  DOI = {10.1007/s10107-014-0756-2},
  JOURNALTITLE = {Mathematical Programming},
  NUMBER = {1--2},
  PAGES = {331--350},
  TITLE = {The numerical solution of Newton's problem of least resistance},
  VOLUME = {147},
}

Strong stationarity for optimal control of the obstacle problem with control constraints Article

SIAM Journal on Optimization 24(4), p.1914-1932 · 2014

doi:10.1137/130925827

BibLaTeX

@ARTICLE{Wachsmuth:2014:3,
  AUTHOR = {Wachsmuth, Gerd},
  DATE = {2014},
  DOI = {10.1137/130925827},
  JOURNALTITLE = {SIAM Journal on Optimization},
  NUMBER = {4},
  PAGES = {1914--1932},
  TITLE = {Strong stationarity for optimal control of the obstacle problem with control constraints},
  VOLUME = {24},
}

2013

Primal-dual methods for the computation of trading regions under proportional transaction costs Article

Roland Herzog, Karl Kunisch and Jörn Sass

Mathematical Methods of Operations Research 77(1), p.101-130 · 2013

doi:10.1007/s00186-012-0416-3

BibLaTeX

@ARTICLE{HerzogKunischSass:2013:1,
  AUTHOR = {Herzog, Roland and Kunisch, Karl and Sass, Jörn},
  DATE = {2013},
  DOI = {10.1007/s00186-012-0416-3},
  JOURNALTITLE = {Mathematical Methods of Operations Research},
  NUMBER = {1},
  PAGES = {101--130},
  TITLE = {Primal-dual methods for the computation of trading regions under proportional transaction costs},
  VOLUME = {77},
}

B- and strong stationarity for optimal control of static plasticity with hardening Article

Roland Herzog, Christian Meyer and Gerd Wachsmuth

SIAM Journal on Optimization 23(1), p.321-352 · 2013

doi:10.1137/110821147

BibLaTeX

@ARTICLE{HerzogMeyerWachsmuth:2013:1,
  AUTHOR = {Herzog, Roland and Meyer, Christian and Wachsmuth, Gerd},
  DATE = {2013},
  DOI = {10.1137/110821147},
  JOURNALTITLE = {SIAM Journal on Optimization},
  NUMBER = {1},
  PAGES = {321--352},
  TITLE = {B- and strong stationarity for optimal control of static plasticity with hardening},
  VOLUME = {23},
}

On LICQ and the uniqueness of Lagrange multipliers Article

Operations Research Letters 41(1), p.78-80 · 2013

doi:10.1016/j.orl.2012.11.009

BibLaTeX

@ARTICLE{Wachsmuth:2013:3,
  AUTHOR = {Wachsmuth, Gerd},
  DATE = {2013},
  DOI = {10.1016/j.orl.2012.11.009},
  JOURNALTITLE = {Operations Research Letters},
  NUMBER = {1},
  PAGES = {78--80},
  TITLE = {On LICQ and the uniqueness of Lagrange multipliers},
  VOLUME = {41},
}

2012

Implementation of an X-FEM solver for the classical two-phase Stefan problem Article

Martin Bernauer and Roland Herzog

Journal of Scientific Computing 52(2), p.271-293 · 2012

doi:10.1007/s10915-011-9543-x

BibLaTeX

@ARTICLE{BernauerHerzog:2012:1,
  AUTHOR = {Bernauer, Martin and Herzog, Roland},
  DATE = {2012},
  DOI = {10.1007/s10915-011-9543-x},
  JOURNALTITLE = {Journal of Scientific Computing},
  NUMBER = {2},
  PAGES = {271--293},
  TITLE = {Implementation of an X-FEM solver for the classical two-phase Stefan problem},
  VOLUME = {52},
}

Optimality conditions and error analysis of semilinear elliptic control problems with L¹ cost functional Article

Eduardo Casas, Roland Herzog and Gerd Wachsmuth

SIAM Journal on Optimization 22(3), p.795-820 · 2012

doi:10.1137/110834366

BibLaTeX

@ARTICLE{CasasHerzogWachsmuth:2012:2,
  AUTHOR = {Casas, Eduardo and Herzog, Roland and Wachsmuth, Gerd},
  DATE = {2012},
  DOI = {10.1137/110834366},
  JOURNALTITLE = {SIAM Journal on Optimization},
  NUMBER = {3},
  PAGES = {795--820},
  TITLE = {Optimality conditions and error analysis of semilinear elliptic control problems with $L^1$ cost functional},
  VOLUME = {22},
}

Approximation of sparse controls in semilinear equations by piecewise linear functions Article

Eduardo Casas, Roland Herzog and Gerd Wachsmuth

Numerische Mathematik 122(4), p.645-669 · 2012

doi:10.1007/s00211-012-0475-7

BibLaTeX

@ARTICLE{CasasHerzogWachsmuth:2012:3,
  AUTHOR = {Casas, Eduardo and Herzog, Roland and Wachsmuth, Gerd},
  DATE = {2012},
  DOI = {10.1007/s00211-012-0475-7},
  JOURNALTITLE = {Numerische Mathematik},
  NUMBER = {4},
  PAGES = {645--669},
  TITLE = {Approximation of sparse controls in semilinear equations by piecewise linear functions},
  VOLUME = {122},
}

C-stationarity for optimal control of static plasticity with linear kinematic hardening Article

Roland Herzog, Christian Meyer and Gerd Wachsmuth

SIAM Journal on Control and Optimization 50(5), p.3052-3082 · 2012

doi:10.1137/100809325

BibLaTeX

@ARTICLE{HerzogMeyerWachsmuth:2012:1,
  AUTHOR = {Herzog, Roland and Meyer, Christian and Wachsmuth, Gerd},
  DATE = {2012},
  DOI = {10.1137/100809325},
  JOURNALTITLE = {SIAM Journal on Control and Optimization},
  NUMBER = {5},
  PAGES = {3052--3082},
  TITLE = {C-stationarity for optimal control of static plasticity with linear kinematic hardening},
  VOLUME = {50},
}

Optimale Steuerung in der Elastoplastizität Article

Roland Herzog, Christian Meyer and Gerd Wachsmuth

GAMM-Rundbrief(2), p.16-20 · 2012

https://www.gamm-ev.de/wp-content/uploads/2020/06/RB_2012_02_weba.compressed.pdf

BibLaTeX

@ARTICLE{HerzogMeyerWachsmuth:2012:2,
  AUTHOR = {Herzog, Roland and Meyer, Christian and Wachsmuth, Gerd},
  URL = {https://www.gamm-ev.de/wp-content/uploads/2020/06/RB_2012_02_weba.compressed.pdf},
  DATE = {2012},
  JOURNALTITLE = {GAMM-Rundbrief},
  NUMBER = {2},
  PAGES = {16--20},
  TITLE = {Optimale Steuerung in der Elastoplastizität},
}

Weak lower semi-continuity of the optimal value function and applications to worst-case robust optimal control problems Article

Roland Herzog and Frank Schmidt

Optimization 61, p.685-697 · 2012

doi:10.1080/02331934.2011.603322

BibLaTeX

@ARTICLE{HerzogSchmidt:2012:1,
  AUTHOR = {Herzog, Roland and Schmidt, Frank},
  DATE = {2012},
  DOI = {10.1080/02331934.2011.603322},
  ISSUE = {6},
  JOURNALTITLE = {Optimization},
  PAGES = {685--697},
  TITLE = {Weak lower semi-continuity of the optimal value function and applications to worst-case robust optimal control problems},
  VOLUME = {61},
}

Directional sparsity in optimal control of partial differential equations Article

Roland Herzog, Georg Stadler and Gerd Wachsmuth

SIAM Journal on Control and Optimization 50(2), p.943-963 · 2012

doi:10.1137/100815037

BibLaTeX

@ARTICLE{HerzogStadlerWachsmuth:2012:1,
  AUTHOR = {Herzog, Roland and Stadler, Georg and Wachsmuth, Gerd},
  DATE = {2012},
  DOI = {10.1137/100815037},
  JOURNALTITLE = {SIAM Journal on Control and Optimization},
  NUMBER = {2},
  PAGES = {943--963},
  TITLE = {Directional sparsity in optimal control of partial differential equations},
  VOLUME = {50},
}

Optimal control of quasistatic plasticity with linear kinematic hardening, Part I: existence and discretization in time Article

SIAM Journal on Control and Optimization 50(5), p.2836-2861 · 2012

doi:10.1137/110839187

BibLaTeX

@ARTICLE{Wachsmuth:2012:1,
  AUTHOR = {Wachsmuth, Gerd},
  DATE = {2012},
  DOI = {10.1137/110839187},
  JOURNALTITLE = {SIAM Journal on Control and Optimization},
  NUMBER = {5},
  PAGES = {2836--2861},
  TITLE = {Optimal control of quasistatic plasticity with linear kinematic hardening, Part I: existence and discretization in time},
  VOLUME = {50},
}

2011

A robustification approach in unconstrained quadratic optimization Article

Martin K. Bernauer and Roland Griesse

Mathematical Programming Series A 128(1–2), p.231-252 · 2011

doi:10.1007/s10107-009-0302-9

BibLaTeX

@ARTICLE{BernauerGriesse:2009:1,
  AUTHOR = {Bernauer, Martin K. and Griesse, Roland},
  DATE = {2011-06},
  DOI = {10.1007/s10107-009-0302-9},
  JOURNALTITLE = {Mathematical Programming Series A},
  NUMBER = {1--2},
  PAGES = {231--252},
  TITLE = {A robustification approach in unconstrained quadratic optimization},
  VOLUME = {128},
}

Optimal control of the classical two-phase Stefan problem in level set formulation Article

Martin Bernauer and Roland Herzog

SIAM Journal on Scientific Computing 33(1), p.342-363 · 2011

doi:10.1137/100783327

BibLaTeX

@ARTICLE{BernauerHerzog:2011:1,
  AUTHOR = {Bernauer, Martin and Herzog, Roland},
  DATE = {2011},
  DOI = {10.1137/100783327},
  JOURNALTITLE = {SIAM Journal on Scientific Computing},
  NUMBER = {1},
  PAGES = {342--363},
  TITLE = {Optimal control of the classical two-phase Stefan problem in level set formulation},
  VOLUME = {33},
}

Optimal control of static plasticity with linear kinematic hardening Article

Roland Herzog and Christian Meyer

Journal of Applied Mathematics and Mechanics 91(10), p.777-794 · 2011

doi:10.1002/zamm.200900378

BibLaTeX

@ARTICLE{HerzogMeyer:2011:1,
  AUTHOR = {Herzog, Roland and Meyer, Christian},
  DATE = {2011},
  DOI = {10.1002/zamm.200900378},
  JOURNALTITLE = {Journal of Applied Mathematics and Mechanics},
  NUMBER = {10},
  PAGES = {777--794},
  TITLE = {Optimal control of static plasticity with linear kinematic hardening},
  VOLUME = {91},
}

Integrability of displacement and stresses in linear and nonlinear elasticity with mixed boundary conditions Article

Roland Herzog, Christian Meyer and Gerd Wachsmuth

Journal of Mathematical Analysis and Applications 382(2), p.802-813 · 2011

doi:10.1016/j.jmaa.2011.04.074

BibLaTeX

@ARTICLE{HerzogMeyerWachsmuth:2011:1,
  AUTHOR = {Herzog, Roland and Meyer, Christian and Wachsmuth, Gerd},
  DATE = {2011},
  DOI = {10.1016/j.jmaa.2011.04.074},
  JOURNALTITLE = {Journal of Mathematical Analysis and Applications},
  NUMBER = {2},
  PAGES = {802--813},
  TITLE = {Integrability of displacement and stresses in linear and nonlinear elasticity with mixed boundary conditions},
  VOLUME = {382},
}

Existence and regularity of the plastic multiplier in static and quasistatic plasticity Article

Roland Herzog, Christian Meyer and Gerd Wachsmuth

GAMM Reports 34(1), p.39-44 · 2011

doi:10.1002/gamm.201110006

BibLaTeX

@ARTICLE{HerzogMeyerWachsmuth:2011:2,
  AUTHOR = {Herzog, Roland and Meyer, Christian and Wachsmuth, Gerd},
  DATE = {2011},
  DOI = {10.1002/gamm.201110006},
  JOURNALTITLE = {GAMM Reports},
  NUMBER = {1},
  PAGES = {39--44},
  TITLE = {Existence and regularity of the plastic multiplier in static and quasistatic plasticity},
  VOLUME = {34},
}

Regularization error estimates and discrepancy principle for optimal control problems with inequality constraints Article

Daniel Wachsmuth and Gerd Wachsmuth

Control and Cybernetics 40(4), p.1125-1158 · 2011

BibLaTeX

@ARTICLE{WachsmuthWachsmuth:2011:1,
  AUTHOR = {Wachsmuth, Daniel and Wachsmuth, Gerd},
  DATE = {2011},
  JOURNALTITLE = {Control and Cybernetics},
  NUMBER = {4},
  PAGES = {1125--1158},
  TITLE = {Regularization error estimates and discrepancy principle for optimal control problems with inequality constraints},
  VOLUME = {40},
}

Convergence and regularization results for optimal control problems with sparsity functional Article

Gerd Wachsmuth and Daniel Wachsmuth

ESAIM: Control, Optimisation and Calculus of Variations 17(3), p.858-886 · 2011

doi:10.1051/cocv/2010027

BibLaTeX

@ARTICLE{WachsmuthWachsmuth:2011:3,
  AUTHOR = {Wachsmuth, Gerd and Wachsmuth, Daniel},
  DATE = {2011},
  DOI = {10.1051/cocv/2010027},
  JOURNALTITLE = {ESAIM: Control, Optimisation and Calculus of Variations},
  NUMBER = {3},
  PAGES = {858--886},
  TITLE = {Convergence and regularization results for optimal control problems with sparsity functional},
  VOLUME = {17},
}

2010

Lipschitz stability for elliptic optimal control problems with mixed control-state constraints Article

Walter Alt, Roland Griesse, Nataliya Metla and Arnd Rösch

Optimization 59(6), p.833-849 · 2010

doi:10.1080/02331930902863749

BibLaTeX

@ARTICLE{AltGriesseMetlaRoesch:2010:1,
  AUTHOR = {Alt, Walter and Griesse, Roland and Metla, Nataliya and Rösch, Arnd},
  DATE = {2010},
  DOI = {10.1080/02331930902863749},
  JOURNALTITLE = {Optimization},
  NUMBER = {6},
  PAGES = {833--849},
  TITLE = {Lipschitz stability for elliptic optimal control problems with mixed control-state constraints},
  VOLUME = {59},
}

Local quadratic convergence of SQP for elliptic optimal control problems with mixed control-state constraints Article

Roland Griesse, Nataliya Metla and Arnd Rösch

Control and Cybernetics 39(3), p.717-738 · 2010

BibLaTeX

@ARTICLE{GriesseMetlaRoesch:2010:1,
  AUTHOR = {Griesse, Roland and Metla, Nataliya and Rösch, Arnd},
  DATE = {2010},
  JOURNALTITLE = {Control and Cybernetics},
  NUMBER = {3},
  PAGES = {717--738},
  TITLE = {Local quadratic convergence of SQP for elliptic optimal control problems with mixed control-state constraints},
  VOLUME = {39},
}

Algorithms for PDE-constrained optimization Article

Roland Herzog and Karl Kunisch

GAMM Reports 33(2), p.163-176 · 2010

doi:10.1002/gamm.201010013

BibLaTeX

@ARTICLE{HerzogKunisch:2010:1,
  AUTHOR = {Herzog, Roland and Kunisch, Karl},
  DATE = {2010},
  DOI = {10.1002/gamm.201010013},
  JOURNALTITLE = {GAMM Reports},
  NUMBER = {2},
  PAGES = {163--176},
  TITLE = {Algorithms for PDE-constrained optimization},
  VOLUME = {33},
}

Preconditioned conjugate gradient method for optimal control problems with control and state constraints Article

Roland Herzog and Ekkehard Sachs

SIAM Journal on Matrix Analysis and Applications 31(5), p.2291-2317 · 2010

doi:10.1137/090779127

BibLaTeX

@ARTICLE{HerzogSachs:2010:1,
  AUTHOR = {Herzog, Roland and Sachs, Ekkehard},
  DATE = {2010},
  DOI = {10.1137/090779127},
  JOURNALTITLE = {SIAM Journal on Matrix Analysis and Applications},
  NUMBER = {5},
  PAGES = {2291--2317},
  TITLE = {Preconditioned conjugate gradient method for optimal control problems with control and state constraints},
  VOLUME = {31},
}

2009

A semismooth Newton method for solving elliptic equations with gradient constraints Article

Roland Griesse and Karl Kunisch

ESAIM: Mathematical Modelling and Numerical Analysis 43(2), p.209-238 · 2009

doi:10.1051/m2an:2008049

BibLaTeX

@ARTICLE{GriesseKunisch:2009:1,
  AUTHOR = {Griesse, Roland and Kunisch, Karl},
  DATE = {2009},
  DOI = {10.1051/m2an:2008049},
  JOURNALTITLE = {ESAIM: Mathematical Modelling and Numerical Analysis},
  NUMBER = {2},
  PAGES = {209--238},
  TITLE = {A semismooth Newton method for solving elliptic equations with gradient constraints},
  VOLUME = {43},
}

Modeling of a magnetohydrodynamics free surface problem arising in Czochralski crystal growth Article

Roland Griesse and Amnon J. Meir

Mathematical and Computer Modelling of Dynamical Systems 15(2), p.163-175 · 2009

doi:10.1080/13873950802551542

BibLaTeX

@ARTICLE{GriesseMeir:2009:1,
  AUTHOR = {Griesse, Roland and Meir, Amnon J.},
  DATE = {2009},
  DOI = {10.1080/13873950802551542},
  JOURNALTITLE = {Mathematical and Computer Modelling of Dynamical Systems},
  NUMBER = {2},
  PAGES = {163--175},
  TITLE = {Modeling of a magnetohydrodynamics free surface problem arising in Czochralski crystal growth},
  VOLUME = {15},
}

Sensitivity analysis and the adjoint update strategy for optimal control problems with mixed control-state constraints Article

Roland Griesse and Daniel Wachsmuth

Computational Optimization and Applications 44(1), p.57-81 · 2009

doi:10.1007/s10589-008-9181-x

BibLaTeX

@ARTICLE{GriesseWachsmuth:2009:1,
  AUTHOR = {Griesse, Roland and Wachsmuth, Daniel},
  DATE = {2009},
  DOI = {10.1007/s10589-008-9181-x},
  JOURNALTITLE = {Computational Optimization and Applications},
  NUMBER = {1},
  PAGES = {57--81},
  TITLE = {Sensitivity analysis and the adjoint update strategy for optimal control problems with mixed control-state constraints},
  VOLUME = {44},
}

2008

Update strategies for perturbed nonsmooth equations Article

Roland Griesse, Thomas Grund and Daniel Wachsmuth

Optimization Methods and Software 23(3), p.321-343 · 2008

doi:10.1080/10556780701523551

BibLaTeX

@ARTICLE{GriesseGrundWachsmuth:2008:1,
  AUTHOR = {Griesse, Roland and Grund, Thomas and Wachsmuth, Daniel},
  DATE = {2008},
  DOI = {10.1080/10556780701523551},
  JOURNALTITLE = {Optimization Methods and Software},
  NUMBER = {3},
  PAGES = {321--343},
  TITLE = {Update strategies for perturbed nonsmooth equations},
  VOLUME = {23},
}

A semismooth Newton method for Tikhonov functionals with sparsity constraints Article

Roland Griesse and Dirk Lorenz

Inverse Problems 24(3), p.1-19 · 2008

doi:10.1088/0266-5611/24/3/035007

BibLaTeX

@ARTICLE{GriesseLorenz:2008:1,
  AUTHOR = {Griesse, Roland and Lorenz, Dirk},
  DATE = {2008},
  DOI = {10.1088/0266-5611/24/3/035007},
  JOURNALTITLE = {Inverse Problems},
  NUMBER = {3},
  EID = {035007},
  PAGES = {1--19},
  TITLE = {A semismooth Newton method for Tikhonov functionals with sparsity constraints},
  VOLUME = {24},
}

Convergence analysis of the SQP method for nonlinear mixed-constrained elliptic optimal control problems Article

Roland Griesse, Nataliya Metla and Arnd Rösch

Journal of Applied Mathematics and Mechanics 88(10), p.776-792 · 2008

doi:10.1002/zamm.200800036

BibLaTeX

@ARTICLE{GriesseMetlaRoesch:2008:2,
  AUTHOR = {Griesse, Roland and Metla, Nataliya and Rösch, Arnd},
  DATE = {2008},
  DOI = {10.1002/zamm.200800036},
  JOURNALTITLE = {Journal of Applied Mathematics and Mechanics},
  NUMBER = {10},
  PAGES = {776--792},
  TITLE = {Convergence analysis of the SQP method for nonlinear mixed-constrained elliptic optimal control problems},
  VOLUME = {88},
}

On the interplay between interior point approximation and parametric sensitivities in optimal control Article

Roland Griesse and Martin Weiser

Journal of Mathematical Analysis and Applications 337(2), p.771-793 · 2008

doi:10.1016/j.jmaa.2007.03.106

BibLaTeX

@ARTICLE{GriesseWeiser:2008:1,
  AUTHOR = {Griesse, Roland and Weiser, Martin},
  DATE = {2008},
  DOI = {10.1016/j.jmaa.2007.03.106},
  JOURNALTITLE = {Journal of Mathematical Analysis and Applications},
  NUMBER = {2},
  PAGES = {771--793},
  TITLE = {On the interplay between interior point approximation and parametric sensitivities in optimal control},
  VOLUME = {337},
}

State-constrained optimal control of the three-dimensional stationary Navier-Stokes equations Article

Juan Carlos de los Reyes and Roland Griesse

Journal of Mathematical Analysis and Applications 343(1), p.257-272 · 2008

doi:10.1016/j.jmaa.2008.01.029

BibLaTeX

@ARTICLE{DeLosReyesGriesse:2008:1,
  AUTHOR = {de los Reyes, Juan Carlos and Griesse, Roland},
  DATE = {2008},
  DOI = {10.1016/j.jmaa.2008.01.029},
  JOURNALTITLE = {Journal of Mathematical Analysis and Applications},
  NUMBER = {1},
  PAGES = {257--272},
  TITLE = {State-constrained optimal control of the three-dimensional stationary Navier-Stokes equations},
  VOLUME = {343},
}

2007

Quantitative stability analysis of optimal solutions in PDE-constrained optimization Article

Kerstin Brandes and Roland Griesse

Journal of Computational and Applied Mathematics 206(2), p.908-926 · 2007

doi:10.1016/j.cam.2006.08.038

BibLaTeX

@ARTICLE{BrandesGriesse:2007:1,
  AUTHOR = {Brandes, Kerstin and Griesse, Roland},
  DATE = {2007},
  DOI = {10.1016/j.cam.2006.08.038},
  JOURNALTITLE = {Journal of Computational and Applied Mathematics},
  NUMBER = {2},
  PAGES = {908--926},
  TITLE = {Quantitative stability analysis of optimal solutions in PDE-constrained optimization},
  VOLUME = {206},
}

Numerical sensitivity analysis for the quantity of interest in PDE-constrained optimization Article

Roland Griesse and Boris Vexler

SIAM Journal on Scientific Computing 29(1), p.22-48 · 2007

doi:10.1137/050637273

BibLaTeX

@ARTICLE{GriesseVexler:2007:1,
  AUTHOR = {Griesse, Roland and Vexler, Boris},
  DATE = {2007},
  DOI = {10.1137/050637273},
  JOURNALTITLE = {SIAM Journal on Scientific Computing},
  NUMBER = {1},
  PAGES = {22--48},
  TITLE = {Numerical sensitivity analysis for the quantity of interest in PDE-constrained optimization},
  VOLUME = {29},
}

2006

Distributed optimal control of Lambda–Omega systems Article

Alfio Borzì and Roland Griesse

Journal of Numerical Mathematics 14(1), p.17-40 · 2006

doi:10.1163/156939506776382120

BibLaTeX

@ARTICLE{BorziGriesse:2006:1,
  AUTHOR = {Borzì, Alfio and Griesse, Roland},
  DATE = {2006},
  DOI = {10.1163/156939506776382120},
  JOURNALTITLE = {Journal of Numerical Mathematics},
  NUMBER = {1},
  PAGES = {17--40},
  TITLE = {Distributed optimal control of Lambda--Omega systems},
  VOLUME = {14},
}

Parametric sensitivity analysis of perturbed PDE optimal control problems with state and control constraints Article

Christof Büskens and Roland Griesse

Journal of Optimization Theory and Applications 131(1), p.17-35 · 2006

doi:10.1007/s10957-006-9122-8

BibLaTeX

@ARTICLE{BueskensGriesse:2006:1,
  AUTHOR = {Büskens, Christof and Griesse, Roland},
  DATE = {2006},
  DOI = {10.1007/s10957-006-9122-8},
  JOURNALTITLE = {Journal of Optimization Theory and Applications},
  NUMBER = {1},
  PAGES = {17--35},
  TITLE = {Parametric sensitivity analysis of perturbed PDE optimal control problems with state and control constraints},
  VOLUME = {131},
}

Lipschitz stability of solutions to some state-constrained elliptic optimal control problems Article

Journal of Analysis and its Applications 25, p.435-455 · 2006

doi:10.4171/ZAA/1300

BibLaTeX

@ARTICLE{Griesse:2006:1,
  AUTHOR = {Griesse, Roland},
  DATE = {2006},
  DOI = {10.4171/ZAA/1300},
  JOURNALTITLE = {Journal of Analysis and its Applications},
  PAGES = {435--455},
  TITLE = {Lipschitz stability of solutions to some state-constrained elliptic optimal control problems},
  VOLUME = {25},
}

Optimal control for a stationary MHD system in velocity–current formulation Article

Roland Griesse and Karl Kunisch

SIAM Journal on Control and Optimization 45(5), p.1822-1845 · 2006

doi:10.1137/050624236

BibLaTeX

@ARTICLE{GriesseKunisch:2006:1,
  AUTHOR = {Griesse, Roland and Kunisch, Karl},
  DATE = {2006},
  DOI = {10.1137/050624236},
  JOURNALTITLE = {SIAM Journal on Control and Optimization},
  NUMBER = {5},
  PAGES = {1822--1845},
  TITLE = {Optimal control for a stationary MHD system in velocity--current formulation},
  VOLUME = {45},
}

2005

Experiences with a space-time multigrid method for the optimal control of a chemical turbulence model Article

Alfio Borzì and Roland Griesse

International Journal for Numerical Methods in Fluids 47(8–9), p.879-885 · 2005

doi:10.1002/fld.904

BibLaTeX

@ARTICLE{BorziGriesse:2005:1,
  AUTHOR = {Borzì, Alfio and Griesse, Roland},
  DATE = {2005},
  DOI = {10.1002/fld.904},
  JOURNALTITLE = {International Journal for Numerical Methods in Fluids},
  NUMBER = {8--9},
  PAGES = {879--885},
  TITLE = {Experiences with a space-time multigrid method for the optimal control of a chemical turbulence model},
  VOLUME = {47},
}

Differential stability of control constrained optimal control problems for the Navier-Stokes equations Article

Roland Griesse, Michael Hintermüller and Michael Hinze

Numerical Functional Analysis and Optimization 26(7–8), p.829-850 · 2005

doi:10.1080/01630560500434278

BibLaTeX

@ARTICLE{GriesseHintermuellerHinze:2005:1,
  AUTHOR = {Griesse, Roland and Hintermüller, Michael and Hinze, Michael},
  DATE = {2005},
  DOI = {10.1080/01630560500434278},
  JOURNALTITLE = {Numerical Functional Analysis and Optimization},
  NUMBER = {7--8},
  PAGES = {829--850},
  TITLE = {Differential stability of control constrained optimal control problems for the Navier-Stokes equations},
  VOLUME = {26},
}

A primal-dual active set strategy for optimal boundary control of a nonlinear reaction-diffusion system Article

Roland Griesse and Stefan Volkwein

SIAM Journal on Control and Optimization 44(2), p.467-494 · 2005

doi:10.1137/S0363012903438696

BibLaTeX

@ARTICLE{GriesseVolkwein:2005:1,
  AUTHOR = {Griesse, Roland and Volkwein, Stefan},
  DATE = {2005},
  DOI = {10.1137/S0363012903438696},
  JOURNALTITLE = {SIAM Journal on Control and Optimization},
  NUMBER = {2},
  PAGES = {467--494},
  TITLE = {A primal-dual active set strategy for optimal boundary control of a nonlinear reaction-diffusion system},
  VOLUME = {44},
}

Towards matrix-free AD-based preconditioning of KKT systems in PDE-constrained optimization Article

Roland Griesse and Andrea Walther

Proceedings in Applied Mathematics and Mechanics 5(1), p.47-50 · 2005

BibLaTeX

@ARTICLE{GriesseWalther:2005:1,
  AUTHOR = {Griesse, Roland and Walther, Andrea},
  DATE = {2005},
  JOURNALTITLE = {Proceedings in Applied Mathematics and Mechanics},
  NUMBER = {1},
  PAGES = {47--50},
  TITLE = {Towards matrix-free AD-based preconditioning of KKT systems in PDE-constrained optimization},
  VOLUME = {5},
}

2004

Parametric sensitivity analysis in optimal control of a reaction-diffusion system—Part I: solution differentiability Article

Numerical Functional Analysis and Optimization 25(1–2), p.93-117 · 2004

doi:10.1081/NFA-120034120

BibLaTeX

@ARTICLE{Griesse:2004:1,
  AUTHOR = {Griesse, Roland},
  DATE = {2004},
  DOI = {10.1081/NFA-120034120},
  JOURNALTITLE = {Numerical Functional Analysis and Optimization},
  NUMBER = {1--2},
  PAGES = {93--117},
  TITLE = {Parametric sensitivity analysis in optimal control of a reaction-diffusion system---Part I: solution differentiability},
  VOLUME = {25},
}

Parametric sensitivity analysis in optimal control of a reaction-diffusion system—Part II: practical methods and examples Article

Optimization Methods and Software 19(2), p.217-242 · 2004

doi:10.1080/10556780410001654250

BibLaTeX

@ARTICLE{Griesse:2004:2,
  AUTHOR = {Griesse, Roland},
  DATE = {2004},
  DOI = {10.1080/10556780410001654250},
  JOURNALTITLE = {Optimization Methods and Software},
  NUMBER = {2},
  PAGES = {217--242},
  TITLE = {Parametric sensitivity analysis in optimal control of a reaction-diffusion system---Part II: practical methods and examples},
  VOLUME = {19},
}

Evaluating gradients in optimal control: continuous adjoints versus automatic differentiation Article

Roland Griesse and Andrea Walther

Journal of Optimization Theory and Applications 122(1), p.63-86 · 2004

doi:10.1023/B:JOTA.0000041731.71309.f1

BibLaTeX

@ARTICLE{GriesseWalther:2004:2,
  AUTHOR = {Griesse, Roland and Walther, Andrea},
  DATE = {2004},
  DOI = {10.1023/B:JOTA.0000041731.71309.f1},
  JOURNALTITLE = {Journal of Optimization Theory and Applications},
  NUMBER = {1},
  PAGES = {63--86},
  TITLE = {Evaluating gradients in optimal control: continuous adjoints versus automatic differentiation},
  VOLUME = {122},
}

2003

Parametric sensitivity analysis for optimal control problems using automatic differentiation Article

Roland Griesse and Andrea Walther

Optimal Control Applications and Methods 24(6), p.297-314 · 2003

doi:10.1002/oca.733

BibLaTeX

@ARTICLE{GriesseWalther:2003:1,
  AUTHOR = {Griesse, Roland and Walther, Andrea},
  DATE = {2003},
  DOI = {10.1002/oca.733},
  JOURNALTITLE = {Optimal Control Applications and Methods},
  NUMBER = {6},
  PAGES = {297--314},
  TITLE = {Parametric sensitivity analysis for optimal control problems using automatic differentiation},
  VOLUME = {24},
}

Books Edited

2022

Optimization and Control for Partial Differential Equations Edited volume

Roland Herzog, Matthias Heinkenschloss, Dante Kalise, Georg Stadler and Emmanuel Trélat

2022

doi:10.1515/9783110695984

BibLaTeX

@COLLECTION{HerzogHeinkenschlossKaliseStadlerTrelat:2022:1,
  EDITOR = {Herzog, Roland and Heinkenschloss, Matthias and Kalise, Dante and Stadler, Georg and Trélat, Emmanuel},
  PUBLISHER = {De Gruyter},
  DATE = {2022},
  DOI = {10.1515/9783110695984},
  NUMBER = {29},
  SERIES = {Radon Series on Computational and Applied Mathematics},
  TITLE = {Optimization and Control for Partial Differential Equations},
}

Non-Smooth and Complementarity-Based Distributed Parameter Systems Edited volume

Michael Hintermüller, Roland Herzog, Christian Kanzow, Michael Ulbrich and Stefan Ulbrich

2022

doi:10.1007/978-3-030-79393-7

BibLaTeX

@COLLECTION{HintermuellerHerzogKanzowUlbrichUlbrich:2022:1,
  EDITOR = {Hintermüller, Michael and Herzog, Roland and Kanzow, Christian and Ulbrich, Michael and Ulbrich, Stefan},
  PUBLISHER = {Springer International Publishing},
  DATE = {2022},
  DOI = {10.1007/978-3-030-79393-7},
  NUMBER = {172},
  SERIES = {International Series of Numerical Mathematics},
  TITLE = {Non-Smooth and Complementarity-Based Distributed Parameter Systems},
}

Proceedings

2026

Machine learning for thermodynamic property modeling Proceedings

Roland Herzog and Viktor Martinek

Oberwolfach Reports 23(2) · 2026

doi:10.4171/owr/2026/26

BibLaTeX

@ARTICLE{HerzogMartinek:2026:1,
  AUTHOR = {Herzog, Roland and Martinek, Viktor},
  EDITOR = {Ghattas, Omar and Heinkenschloss, Matthias and Reich, Sebastian and Schillings, Claudia},
  PUBLISHER = {European Mathematical Society Publishing House},
  BOOKTITLE = {Workshop: Mathematical Foundation of Digital Twins},
  DATE = {2026-10},
  DOI = {10.4171/owr/2026/26},
  JOURNALTITLE = {Oberwolfach Reports},
  NUMBER = {2},
  TITLE = {Machine learning for thermodynamic property modeling},
  VOLUME = {23},
}

Symbolic regression for shared expressions – introducing partial parameter sharing Proceedings

Viktor Martinek and Roland Herzog

Parallel Problem Solving from Nature – PPSN XIX, p.251-266 · 2026

arXiv:2601.04051 doi:10.1007/978-3-032-36229-2_16

BibLaTeX

@INPROCEEDINGS{MartinekHerzog:2026:2,
  AUTHOR = {Martinek, Viktor and Herzog, Roland},
  PUBLISHER = {Springer Nature Switzerland},
  BOOKTITLE = {Parallel Problem Solving from Nature -- PPSN XIX},
  DATE = {2026-08},
  DOI = {10.1007/978-3-032-36229-2_16},
  EPRINT = {2601.04051},
  EPRINTTYPE = {arXiv},
  PAGES = {251--266},
  TITLE = {Symbolic regression for shared expressions -- introducing partial parameter sharing},
}

2024

Unit-aware genetic programming for the development of empirical equations Proceedings

Julia Reuter, Viktor Martinek, Roland Herzog and Sanaz Mostaghim

Parallel Problem Solving from Nature – PPSN XVIII, p.168-183 · 2024

arXiv:2405.18896 doi:10.1007/978-3-031-70055-2_11

BibLaTeX

@INPROCEEDINGS{ReuterMartinekHerzogMostaghim:2024:2,
  AUTHOR = {Reuter, Julia and Martinek, Viktor and Herzog, Roland and Mostaghim, Sanaz},
  PUBLISHER = {Springer Nature Switzerland},
  BOOKTITLE = {Parallel Problem Solving from Nature -- PPSN XVIII},
  DATE = {2024-09},
  DOI = {10.1007/978-3-031-70055-2_11},
  EPRINT = {2405.18896},
  EPRINTTYPE = {arXiv},
  PAGES = {168--183},
  TITLE = {Unit-aware genetic programming for the development of empirical equations},
}

2023

Hybrid thermal error compensation combining integrated deformation sensor and regression analysis based models for complex machine tool designs Proceedings

Christian Naumann, Andreas Naumann, Nico Bertaggia, Alexander Geist, Janine Glänzel, Roland Herzog, Daniel Zontar, Christian Brecher and Martin Dix

3rd International Conference on Thermal Issues in Machine Tools (ICTIMT2023), p.28-40 · 2023

doi:10.1007/978-3-031-34486-2_3

BibLaTeX

@INPROCEEDINGS{NaumannNaumannBertaggiaGeistGlaenzelHerzogZontarBrecherDix:2023:1,
  AUTHOR = {Naumann, Christian and Naumann, Andreas and Bertaggia, Nico and Geist, Alexander and Glänzel, Janine and Herzog, Roland and Zontar, Daniel and Brecher, Christian and Dix, Martin},
  PUBLISHER = {Springer International Publishing},
  BOOKTITLE = {3rd International Conference on Thermal Issues in Machine Tools (ICTIMT2023)},
  DATE = {2023},
  DOI = {10.1007/978-3-031-34486-2_3},
  PAGES = {28--40},
  SERIES = {Lecture Notes in Production Engineering},
  TITLE = {Hybrid thermal error compensation combining integrated deformation sensor and regression analysis based models for complex machine tool designs},
}

2022

Advanced open source data formats for geometrically and physically coupled systems Proceedings

Andreas Naumann, Jens Saak, Stefan Sauerzapf, Julia Vettermann, Michael Beitelschmidt and Roland Herzog

Proceedings of Asian Modelica Conference 2022 · 2022

doi:10.3384/ecp19381

BibLaTeX

@INPROCEEDINGS{NaumannSaakSauerzapfVettermannBeitelschmidtHerzog:2022:1,
  AUTHOR = {Naumann, Andreas and Saak, Jens and Sauerzapf, Stefan and Vettermann, Julia and Beitelschmidt, Michael and Herzog, Roland},
  EDITOR = {Shen, Tielong and Gao, Rui and Hirano, Yutaka},
  PUBLISHER = {Linköping University Electronic Press},
  BOOKTITLE = {Proceedings of Asian Modelica Conference 2022},
  DATE = {2022-11},
  DOI = {10.3384/ecp19381},
  TITLE = {Advanced open source data formats for geometrically and physically coupled systems},
}

A nonlinear optimized Schwarz preconditioner for elliptic optimal control problems Proceedings

Gabriele Ciaramella, Felix Kwok and Georg Müller

Domain Decomposition Methods in Science and Engineering XXVI, p.391-398 · 2022

arXiv:2104.00274 doi:10.1007/978-3-030-95025-5_41

BibLaTeX

@INPROCEEDINGS{CiaramellaKwokMueller:2022:1,
  AUTHOR = {Ciaramella, Gabriele and Kwok, Felix and Müller, Georg},
  EDITOR = {Brenner, Susanne C. and Chung, Eric and Klawonn, Axel and Kwok, Felix and Xu, Jinchao and Zou, Jun},
  PUBLISHER = {Springer International Publishing},
  BOOKTITLE = {Domain Decomposition Methods in Science and Engineering XXVI},
  DATE = {2022},
  DOI = {10.1007/978-3-030-95025-5_41},
  EPRINT = {2104.00274},
  EPRINTTYPE = {arXiv},
  PAGES = {391--398},
  TITLE = {A nonlinear optimized Schwarz preconditioner for elliptic optimal control problems},
}

Influence of solidification rate on hot crack behavior in heat conduction laser beam welding of EN AW-6082 Proceedings

Marc Seibold, Dmytro Strelnikov, Klaus Schricker, Roland Herzog and Jean Pierre Bergmann

Procedia CIRP 111, p.490-495 · 2022

doi:10.1016/j.procir.2022.08.076

BibLaTeX

@ARTICLE{SeiboldStrelnikovSchrickerHerzogBergmann:2022:1,
  AUTHOR = {Seibold, Marc and Strelnikov, Dmytro and Schricker, Klaus and Herzog, Roland and Bergmann, Jean Pierre},
  PUBLISHER = {Elsevier BV},
  DATE = {2022},
  DOI = {10.1016/j.procir.2022.08.076},
  JOURNALTITLE = {Procedia CIRP},
  PAGES = {490--495},
  TITLE = {Influence of solidification rate on hot crack behavior in heat conduction laser beam welding of EN AW-6082},
  VOLUME = {111},
}

2021

Optimal sensor placement for stochastic sources in machine tools Proceedings

Roland Herzog and Andreas Naumann

Proceedings in Applied Mathematics and Mechanics 21(1) · 2021

doi:10.1002/pamm.202100089

BibLaTeX

@ARTICLE{HerzogNaumann:2021:1,
  AUTHOR = {Herzog, Roland and Naumann, Andreas},
  PUBLISHER = {Wiley},
  DATE = {2021-12},
  DOI = {10.1002/pamm.202100089},
  JOURNALTITLE = {Proceedings in Applied Mathematics and Mechanics},
  NUMBER = {1},
  TITLE = {Optimal sensor placement for stochastic sources in machine tools},
  VOLUME = {21},
}

Building models for coupled thermo elastic problems in different software architectures using a new model exchange format Proceedings

Stefan Sauerzapf, Andreas Naumann and Michael Beitelschmidt

Proceedings in Applied Mathematics and Mechanics 21(1) · 2021

doi:10.1002/pamm.202100035

BibLaTeX

@ARTICLE{SauerzapfNaumannBeitelschmidt:2021:1,
  AUTHOR = {Sauerzapf, Stefan and Naumann, Andreas and Beitelschmidt, Michael},
  PUBLISHER = {Wiley},
  DATE = {2021-12},
  DOI = {10.1002/pamm.202100035},
  JOURNALTITLE = {Proceedings in Applied Mathematics and Mechanics},
  NUMBER = {1},
  TITLE = {Building models for coupled thermo elastic problems in different software architectures using a new model exchange format},
  VOLUME = {21},
}

Mini-workshop: computational optimization on manifolds Proceedings

Pierre-Antoine Absil, Roland Herzog and Gabriele Steidl

Oberwolfach Reports 17(4), p.1791-1821 · 2021

doi:10.4171/owr/2020/36

BibLaTeX

@ARTICLE{AbsilHerzogSteidl:2021:1,
  EDITOR = {Absil, Pierre-Antoine and Herzog, Roland and Steidl, Gabriele},
  PUBLISHER = {European Mathematical Society - EMS - Publishing House GmbH},
  DATE = {2021-09},
  DOI = {10.4171/owr/2020/36},
  JOURNALTITLE = {Oberwolfach Reports},
  NUMBER = {4},
  PAGES = {1791--1821},
  TITLE = {Mini-workshop: computational optimization on manifolds},
  VOLUME = {17},
}

Optimal positioning methods of integral deformation sensors — expert knowledge versus mathematical optimization Proceedings

Christian Brecher, Roland Herzog, Robert Spierling, Andreas Naumann and Filippos Tzanetos

MM Science Journal 2021(3), p.4628-4635 · 2021

doi:10.17973/MMSJ.2021_7_2021069

BibLaTeX

@ARTICLE{BrecherHerzogSpierlingNaumannTzanetos:2021:1,
  AUTHOR = {Brecher, Christian and Herzog, Roland and Spierling, Robert and Naumann, Andreas and Tzanetos, Filippos},
  PUBLISHER = {MM Publishing},
  DATE = {2021-04-21},
  DOI = {10.17973/MMSJ.2021_7_2021069},
  EVENTTITLE = {2nd International Conference on Thermal Issues in Machine Tools (ICTIMT)},
  JOURNALTITLE = {MM Science Journal},
  NUMBER = {3},
  PAGES = {4628--4635},
  TITLE = {Optimal positioning methods of integral deformation sensors --- expert knowledge versus mathematical optimization},
  VOLUME = {2021},
}

Model order reduction methods for coupled machine tool models Proceedings

Julia Vettermann, Stefan Sauerzapf, Andreas Naumann, Jens Saak, Peter Benner, Michael Beitelschmidt and Roland Herzog

MM Science Journal 2021(3), p.4652-4659 · 2021

doi:10.17973/MMSJ.2021_7_2021072

BibLaTeX

@ARTICLE{VettermannSauerzapfNaumannSaakBennerBeitelschmidtHerzog:2021:1,
  AUTHOR = {Vettermann, Julia and Sauerzapf, Stefan and Naumann, Andreas and Saak, Jens and Benner, Peter and Beitelschmidt, Michael and Herzog, Roland},
  PUBLISHER = {MM Publishing},
  DATE = {2021-04-20},
  DOI = {10.17973/MMSJ.2021_7_2021072},
  EVENTTITLE = {2nd International Conference on Thermal Issues in Machine Tools (ICTIMT)},
  JOURNALTITLE = {MM Science Journal},
  NUMBER = {3},
  PAGES = {4652--4659},
  TITLE = {Model order reduction methods for coupled machine tool models},
  VOLUME = {2021},
}

Optimal sensor placement for thermo-elastic coupled machine models Proceedings

Andreas Naumann and Roland Herzog

Proceedings in Applied Mathematics and Mechanics 20(1) · 2021

doi:10.1002/pamm.202000255

BibLaTeX

@ARTICLE{NaumannHerzog:2021:1,
  AUTHOR = {Naumann, Andreas and Herzog, Roland},
  PUBLISHER = {Wiley},
  DATE = {2021-01},
  DOI = {10.1002/pamm.202000255},
  JOURNALTITLE = {Proceedings in Applied Mathematics and Mechanics},
  NUMBER = {1},
  TITLE = {Optimal sensor placement for thermo-elastic coupled machine models},
  VOLUME = {20},
}

2020

Evaluation of optimal positioning methods of integral deformation sensors for the correction of thermal errors in machine tools Proceedings

Christian Brecher, Roland Herzog, Robert Spierling, Filippos Tzanetos and Andreas Naumann

Conference Proceedings on Thermal Issues 2020, p.26-29 · 2020

https://www.euspen.eu/knowledge-base/TI20137.pdf

BibLaTeX

@INPROCEEDINGS{BrecherHerzogSpierlingTzanetosNaumann:2020:1,
  AUTHOR = {Brecher, Christian and Herzog, Roland and Spierling, Robert and Tzanetos, Filippos and Naumann, Andreas},
  LOCATION = {Aachen, Germany},
  URL = {https://www.euspen.eu/knowledge-base/TI20137.pdf},
  BOOKTITLE = {Conference Proceedings on Thermal Issues 2020},
  DATE = {2020-02-26},
  EVENTTITLE = {euspen Special Interest Group Meeting on Thermal Issues},
  PAGES = {26--29},
  TITLE = {Evaluation of optimal positioning methods of integral deformation sensors for the correction of thermal errors in machine tools},
}

Simulation of the thermal behavior of machine tools for efficient machine development and online correction of the tool center point (TCP)-displacement Proceedings

Stefan Sauerzapf, Julia Vettermann, Andreas Naumann, Jens Saak, Michael Beitelschmidt and Peter Benner

Conference Proceedings on Thermal Issues 2020, p.135-138 · 2020

https://www.euspen.eu/knowledge-base/TI20125.pdf

BibLaTeX

@INPROCEEDINGS{SauerzapfVettermannNaumannSaakBeitelschmidtBenner:2020:1,
  AUTHOR = {Sauerzapf, Stefan and Vettermann, Julia and Naumann, Andreas and Saak, Jens and Beitelschmidt, Michael and Benner, Peter},
  LOCATION = {Aachen, Germany},
  URL = {https://www.euspen.eu/knowledge-base/TI20125.pdf},
  BOOKTITLE = {Conference Proceedings on Thermal Issues 2020},
  DATE = {2020-02-26},
  EVENTTITLE = {euspen Special Interest Group Meeting on Thermal Issues},
  PAGES = {135--138},
  TITLE = {Simulation of the thermal behavior of machine tools for efficient machine development and online correction of the tool center point (TCP)-displacement},
}

2019

Sparse discretization of sparse control problems Proceedings

Evelyn Herberg, Michael Hinze and Henrik Schumacher

Proceedings in Applied Mathematics and Mechanics 19(1) · 2019

doi:10.1002/pamm.201900105

BibLaTeX

@ARTICLE{HerbergHinzeSchumacher:2019:1,
  AUTHOR = {Herberg, Evelyn and Hinze, Michael and Schumacher, Henrik},
  PUBLISHER = {Wiley},
  DATE = {2019-11},
  DOI = {10.1002/pamm.201900105},
  JOURNALTITLE = {Proceedings in Applied Mathematics and Mechanics},
  NUMBER = {1},
  TITLE = {Sparse discretization of sparse control problems},
  VOLUME = {19},
}

Geometry processing problems using the total variation of the normal vector field Proceedings

Ronny Bergmann, Marc Herrmann, Roland Herzog, Stephan Schmidt and José Vidal-Núñez

Proceedings in Applied Mathematics and Mechanics 19(1) · 2019

doi:10.1002/pamm.201900189

BibLaTeX

@ARTICLE{BergmannHerrmannHerzogSchmidtVidalNunez:2019:3,
  AUTHOR = {Bergmann, Ronny and Herrmann, Marc and Herzog, Roland and Schmidt, Stephan and Vidal-Núñez, José},
  PUBLISHER = {Wiley},
  DATE = {2019},
  DOI = {10.1002/pamm.201900189},
  JOURNALTITLE = {Proceedings in Applied Mathematics and Mechanics},
  NUMBER = {1},
  TITLE = {Geometry processing problems using the total variation of the normal vector field},
  VOLUME = {19},
}

Shape optimization: what to do first, optimize or discretize? Proceedings

Ronny Bergmann, Roland Herzog, Estefanía Loayza-Romero and Kathrin Welker

Proceedings in Applied Mathematics and Mechanics 19(1) · 2019

doi:10.1002/pamm.201900067

BibLaTeX

@ARTICLE{BergmannHerzogLoayzaRomeroWelker:2019:1,
  AUTHOR = {Bergmann, Ronny and Herzog, Roland and Loayza-Romero, Estefanía and Welker, Kathrin},
  PUBLISHER = {Wiley},
  DATE = {2019},
  DOI = {10.1002/pamm.201900067},
  JOURNALTITLE = {Proceedings in Applied Mathematics and Mechanics},
  NUMBER = {1},
  TITLE = {Shape optimization: what to do first, optimize or discretize?},
  VOLUME = {19},
}

2018

Optimal sensor placement based on model order reduction Proceedings

Peter Benner, Roland Herzog, Norman Lang, Ilka Riedel and Jens Saak

Conference on Thermal Issues in Machine Tools, p.355-365 · 2018

https://www.verlag-wiss-scripten.de/Shop/Detail.html?&PR_ID=326

BibLaTeX

@INPROCEEDINGS{BennerHerzogLangRiedelSaak:2018:1,
  AUTHOR = {Benner, Peter and Herzog, Roland and Lang, Norman and Riedel, Ilka and Saak, Jens},
  EDITOR = {Ihlenfeldt, Steffen and Brecher, Christian and Putz, Matthias and Billington, David},
  LOCATION = {Auerbach},
  PUBLISHER = {Verlag Wissenschaftliche Scripten},
  URL = {https://www.verlag-wiss-scripten.de/Shop/Detail.html?&PR_ID=326},
  BOOKTITLE = {Conference on Thermal Issues in Machine Tools},
  DATE = {2018},
  PAGES = {355--365},
  TITLE = {Optimal sensor placement based on model order reduction},
}

Iterative solution of optimality systems in optimal control Proceedings

Roland Herzog and Kirk Soodhalter

Oberwolfach Reports 14(1), p.185-186 · 2018

doi:10.4171/owr/2017/4

BibLaTeX

@ARTICLE{HerzogSoodhalter:2018:1,
  AUTHOR = {Herzog, Roland and Soodhalter, Kirk},
  EDITOR = {Gunzburger, Max and Kunisch, Karl and Kunoth, Angela},
  PUBLISHER = {European Mathematical Society Publishing House},
  BOOKTITLE = {Workshop: Optimal Control of Coupled Systems of PDE},
  DATE = {2018},
  DOI = {10.4171/owr/2017/4},
  JOURNALTITLE = {Oberwolfach Reports},
  NUMBER = {1},
  PAGES = {185--186},
  TITLE = {Iterative solution of optimality systems in optimal control},
  VOLUME = {14},
}

SIMP based topology optimization for injection molding of SFRPs Proceedings

Advances in Structural and Multidisciplinary Optimization, p.850-861 · 2018

doi:10.1007/978-3-319-67988-4_65

BibLaTeX

@INPROCEEDINGS{OspaldHerzog:2017:1,
  AUTHOR = {Ospald, Felix and Herzog, Roland},
  PUBLISHER = {Springer International Publishing},
  BOOKTITLE = {Advances in Structural and Multidisciplinary Optimization},
  DATE = {2018},
  DOI = {10.1007/978-3-319-67988-4_65},
  NOTE = {Proceedings of the 12th World Congress on Structural and Multidisciplinary Optimization},
  PAGES = {850--861},
  TITLE = {SIMP based topology optimization for injection molding of SFRPs},
}

2017

Prevention of solidification cracking during pulsed laser beam welding Proceedings

Jean Pierre Bergmann, Martin Bielenin, Roland A. Herzog, Jörg Hildebrand, Ilka Riedel, Klaus Schricker, Carsten Trunk and Karl Worthmann

Proceedings in Applied Mathematics and Mechanics 17(1), p.405-406 · 2017

doi:10.1002/pamm.201710172

BibLaTeX

@ARTICLE{BergmannBieleninHerzogHildebrandRiedelSchrickerTrunkWorthmann:2017:1,
  AUTHOR = {Bergmann, Jean Pierre and Bielenin, Martin and Herzog, Roland A. and Hildebrand, Jörg and Riedel, Ilka and Schricker, Klaus and Trunk, Carsten and Worthmann, Karl},
  PUBLISHER = {Wiley-Blackwell},
  DATE = {2017-12},
  DOI = {10.1002/pamm.201710172},
  JOURNALTITLE = {Proceedings in Applied Mathematics and Mechanics},
  NUMBER = {1},
  PAGES = {405--406},
  TITLE = {Prevention of solidification cracking during pulsed laser beam welding},
  VOLUME = {17},
}

Topology optimization for injection molding of short fiber-reinforced plastics Proceedings

Proceedings in Applied Mathematics and Mechanics 17(1), p.337-338 · 2017

doi:10.1002/pamm.201710138

BibLaTeX

@ARTICLE{OspaldHerzog:2017:2,
  AUTHOR = {Ospald, Felix and Herzog, Roland},
  PUBLISHER = {Wiley-Blackwell},
  DATE = {2017-12},
  DOI = {10.1002/pamm.201710138},
  JOURNALTITLE = {Proceedings in Applied Mathematics and Mechanics},
  NUMBER = {1},
  PAGES = {337--338},
  TITLE = {Topology optimization for injection molding of short fiber-reinforced plastics},
  VOLUME = {17},
}

Optimale Sensorplatzierung und Online-Zustands- und Parameter-Identifikation Proceedings

Roland Herzog and Ilka Riedel

Proceedings of the 5th Colloquium of SFB/Transregio 96 · 2017

BibLaTeX

@INPROCEEDINGS{HerzogRiedel:2017:1,
  AUTHOR = {Herzog, Roland and Riedel, Ilka},
  BOOKTITLE = {Proceedings of the 5th Colloquium of SFB/Transregio 96},
  DATE = {2017},
  TITLE = {Optimale Sensorplatzierung und Online-Zustands- und Parameter-Identifikation},
}

2016

Simulation-based correction approach for thermo-elastic workpiece deformations during milling process Proceedings

Janine Glänzel, Roland Herzog, Steffen Ihlenfeldt, Arnd Meyer and Roman Unger

Proceedings of the 7th HPC 2016 - CIRP Conference on High Performance Cutting 46, p.103-106 · 2016

doi:10.1016/j.procir.2016.03.178

BibLaTeX

@INPROCEEDINGS{GlaenzelHerzogIhlenfeldtMeyerUnger:2016:1,
  AUTHOR = {Glänzel, Janine and Herzog, Roland and Ihlenfeldt, Steffen and Meyer, Arnd and Unger, Roman},
  PUBLISHER = {Elsevier},
  BOOKTITLE = {Proceedings of the 7th HPC 2016 - CIRP Conference on High Performance Cutting},
  DATE = {2016},
  DOI = {10.1016/j.procir.2016.03.178},
  PAGES = {103--106},
  TITLE = {Simulation-based correction approach for thermo-elastic workpiece deformations during milling process},
  VOLUME = {46},
}

Parameteridentifikation in thermo-elastischen Systemen Proceedings

Roland Herzog, Ilka Riedel, Bernd Kauschinger and Steffen Schroeder

Proceedings of the 4th Colloquium of SFB/Transregio 96, p.55-82 · 2016

BibLaTeX

@INPROCEEDINGS{HerzogRiedelKauschingerSchroeder:2016:1,
  AUTHOR = {Herzog, Roland and Riedel, Ilka and Kauschinger, Bernd and Schroeder, Steffen},
  BOOKTITLE = {Proceedings of the 4th Colloquium of SFB/Transregio 96},
  DATE = {2016},
  PAGES = {55--82},
  TITLE = {Parameteridentifikation in thermo-elastischen Systemen},
}

Nonlinear composite voxels and FFT-based homogenization Proceedings

Matthias Kabel, Andreas Fink, Felix Ospald and Matti Schneider

ECCOMAS · 2016

doi:10.7712/100016.1944.5977

BibLaTeX

@INPROCEEDINGS{KabelFinkOspaldSchneider:2016:1,
  AUTHOR = {Kabel, Matthias and Fink, Andreas and Ospald, Felix and Schneider, Matti},
  BOOKTITLE = {ECCOMAS},
  DATE = {2016},
  DOI = {10.7712/100016.1944.5977},
  TITLE = {Nonlinear composite voxels and FFT-based homogenization},
}

Characteristic diagram based correction algorithms for the thermo-elastic deformation of machine tools Proceedings

Christian Naumann, Ilka Riedel, Steffen Ihlenfeldt and Ulrich Priber

Procedia CIRP 41, p.801-805 · 2016

doi:10.1016/j.procir.2015.12.029

BibLaTeX

@ARTICLE{NaumannRiedelIhlenfeldtPriber:2016:1,
  AUTHOR = {Naumann, Christian and Riedel, Ilka and Ihlenfeldt, Steffen and Priber, Ulrich},
  PUBLISHER = {Elsevier BV},
  DATE = {2016},
  DOI = {10.1016/j.procir.2015.12.029},
  JOURNALTITLE = {Procedia CIRP},
  PAGES = {801--805},
  TITLE = {Characteristic diagram based correction algorithms for the thermo-elastic deformation of machine tools},
  VOLUME = {41},
}

Optimal experimental design to identify the average stress-strain response in short fiber-reinforced plastics Proceedings

Proceedings in Applied Mathematics and Mechanics 16(1), p.673-674 · 2016

doi:10.1002/pamm.201610325

BibLaTeX

@ARTICLE{OspaldHerzog:2016:1,
  AUTHOR = {Ospald, Felix and Herzog, Roland},
  DATE = {2016},
  DOI = {10.1002/pamm.201610325},
  JOURNALTITLE = {Proceedings in Applied Mathematics and Mechanics},
  NUMBER = {1},
  PAGES = {673--674},
  TITLE = {Optimal experimental design to identify the average stress-strain response in short fiber-reinforced plastics},
  VOLUME = {16},
}

2015

Using the on-state-V_be,sat-voltage for temperature estimation of SiC-BJTs during normal operation Proceedings

Sophia Frankeser, Sebastian Hiller, Gerd Wachsmuth and Josef Lutz

PCIM Europe 2015, p.132-139 · 2015

https://ieeexplore.ieee.org/document/7148829

BibLaTeX

@INPROCEEDINGS{FrankeserHillerWachsmuthLutz:2015:1,
  AUTHOR = {Frankeser, Sophia and Hiller, Sebastian and Wachsmuth, Gerd and Lutz, Josef},
  URL = {https://ieeexplore.ieee.org/document/7148829},
  BOOKTITLE = {PCIM Europe 2015},
  DATE = {2015},
  EVENTTITLE = {International Exhibition and Conference for Power Electronics, Intelligent Motion, Renewable Energy and Energy Management},
  PAGES = {132--139},
  TITLE = {Using the on-state-V$_{be,sat}$-voltage for temperature estimation of SiC-BJTs during normal operation},
}

Efficient simulation, optimization, and validation of lightweight structures Proceedings

Susann Hannusch, Roland Herzog, Michael Hofmann, Jörn Ihlemann, Lothar Kroll, Arnd Meyer, Felix Ospald, Gudula Rünger, Rolf Springer, Martin Stockmann and Lars Ulke-Winter

Proceedings of the 2nd International MERGE Technologies Conference for Lightweight Structures (IMTC 2015), p.219-227 · 2015

BibLaTeX

@INPROCEEDINGS{HannuschHerzogHofmannIhlemannKrollMeyerOspaldRuengerSpringerStockmannUlkeWinter:2015:1,
  AUTHOR = {Hannusch, Susann and Herzog, Roland and Hofmann, Michael and Ihlemann, Jörn and Kroll, Lothar and Meyer, Arnd and Ospald, Felix and Rünger, Gudula and Springer, Rolf and Stockmann, Martin and Ulke-Winter, Lars},
  BOOKTITLE = {Proceedings of the 2nd International MERGE Technologies Conference for Lightweight Structures (IMTC 2015)},
  DATE = {2015},
  PAGES = {219--227},
  TITLE = {Efficient simulation, optimization, and validation of lightweight structures},
}

Towards topology optimization in quasi-static elastoplasticity Proceedings

Stephan Schleicher and Roland Herzog

IFAC-PapersOnLine 48(1), p.627-628 · 2015

doi:10.1016/j.ifacol.2015.05.130

BibLaTeX

@ARTICLE{SchleicherHerzog:2015:1,
  AUTHOR = {Schleicher, Stephan and Herzog, Roland},
  PUBLISHER = {Elsevier BV},
  DATE = {2015},
  DOI = {10.1016/j.ifacol.2015.05.130},
  JOURNALTITLE = {IFAC-PapersOnLine},
  NUMBER = {1},
  PAGES = {627--628},
  TITLE = {Towards topology optimization in quasi-static elastoplasticity},
  VOLUME = {48},
}

Computational homogenization of elasticity at large deformations on a staggered grid Proceedings

Matti Schneider, Felix Ospald and Matthias Kabel

Conference Proceedings of the YIC GACM 2015, p.178-181 · 2015

doi:10.18154/RWTH-2015-03980

BibLaTeX

@INPROCEEDINGS{SchneiderOspaldKabel:2015:1,
  AUTHOR = {Schneider, Matti and Ospald, Felix and Kabel, Matthias},
  BOOKTITLE = {Conference Proceedings of the YIC GACM 2015},
  DATE = {2015},
  DOI = {10.18154/RWTH-2015-03980},
  PAGES = {178--181},
  TITLE = {Computational homogenization of elasticity at large deformations on a staggered grid},
}

2014

Using cylindrical algebraic decomposition and local Fourier analysis to study numerical methods: two examples Proceedings

Stefan Takacs

16th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, p.42-49 · 2014

doi:10.1109/synasc.2014.14

BibLaTeX

@INPROCEEDINGS{Takacs:2014:1,
  AUTHOR = {Takacs, Stefan},
  PUBLISHER = {IEEE},
  BOOKTITLE = {16th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing},
  DATE = {2014-09},
  DOI = {10.1109/synasc.2014.14},
  PAGES = {42--49},
  TITLE = {Using cylindrical algebraic decomposition and local Fourier analysis to study numerical methods: two examples},
}

Programming support for the flexible coupling of distributed software components for scientific simulations Proceedings

Michael Hofmann, Felix Ospald, Hansjorg Schmidt and Rolf Springer

Software Engineering and Applications (ICSOFT-EA), 2014 9th International Conference on, p.506-511 · 2014

doi:10.5220/0005105405060511

BibLaTeX

@INPROCEEDINGS{HofmannOspaldSchmidtSpringer:2014:1,
  AUTHOR = {Hofmann, Michael and Ospald, Felix and Schmidt, Hansjorg and Springer, Rolf},
  BOOKTITLE = {Software Engineering and Applications (ICSOFT-EA), 2014 9th International Conference on},
  DATE = {2014-08},
  DOI = {10.5220/0005105405060511},
  PAGES = {506--511},
  TITLE = {Programming support for the flexible coupling of distributed software components for scientific simulations},
}

Optimal control of large deformation elasticity by fiber tension Proceedings

Andreas Günnel and Roland Herzog

Proceedings in Applied Mathematics and Mechanics 14(1), p.879-880 · 2014

doi:10.1002/pamm.201410420

BibLaTeX

@ARTICLE{GuennelHerzog:2014:1,
  AUTHOR = {Günnel, Andreas and Herzog, Roland},
  DATE = {2014},
  DOI = {10.1002/pamm.201410420},
  JOURNALTITLE = {Proceedings in Applied Mathematics and Mechanics},
  NUMBER = {1},
  PAGES = {879--880},
  TITLE = {Optimal control of large deformation elasticity by fiber tension},
  VOLUME = {14},
}

FETI-DP methods for optimal control problems Proceedings

Roland Herzog and Oliver Rheinbach

Domain Decomposition Methods in Science and Engineering XXI(98), p.337-344 · 2014

doi:10.1007/978-3-319-05789-7_36

BibLaTeX

@INPROCEEDINGS{HerzogRheinbach:2014:1,
  AUTHOR = {Herzog, Roland and Rheinbach, Oliver},
  EDITOR = {Erhel, Jocelyne and Gander, Martin J. and Halpern, Laurence and Pichot, Géraldine and Sassi, Taoufik and Widlund, Olof},
  PUBLISHER = {Springer},
  BOOKTITLE = {Domain Decomposition Methods in Science and Engineering XXI},
  DATE = {2014},
  DOI = {10.1007/978-3-319-05789-7_36},
  NUMBER = {98},
  PAGES = {337--344},
  SERIES = {Lecture Notes in Computational Science and Engineering},
  TITLE = {FETI-DP methods for optimal control problems},
}

Scalability of a FETI-DP method for optimal control problems Proceedings

Roland Herzog and Oliver Rheinbach

Proceedings in Applied Mathematics and Mechanics 14(1), p.837-838 · 2014

doi:10.1002/pamm.201410399

BibLaTeX

@ARTICLE{HerzogRheinbach:2014:2,
  AUTHOR = {Herzog, Roland and Rheinbach, Oliver},
  DATE = {2014},
  DOI = {10.1002/pamm.201410399},
  JOURNALTITLE = {Proceedings in Applied Mathematics and Mechanics},
  NUMBER = {1},
  PAGES = {837--838},
  TITLE = {Scalability of a FETI-DP method for optimal control problems},
  VOLUME = {14},
}

Comparison of two suboptimal sensor placement strategies in thermo-elastic models Proceedings

Roland Herzog and Ilka Riedel

Proceedings in Applied Mathematics and Mechanics 14(1), p.881-882 · 2014

doi:10.1002/pamm.201410421

BibLaTeX

@ARTICLE{HerzogRiedel:2014:1,
  AUTHOR = {Herzog, Roland and Riedel, Ilka},
  DATE = {2014},
  DOI = {10.1002/pamm.201410421},
  JOURNALTITLE = {Proceedings in Applied Mathematics and Mechanics},
  NUMBER = {1},
  PAGES = {881--882},
  TITLE = {Comparison of two suboptimal sensor placement strategies in thermo-elastic models},
  VOLUME = {14},
}

Numerical simulation of injection molding using OpenFOAM Proceedings

Felix Ospald

Proceedings in Applied Mathematics and Mechanics 14(1), p.673-674 · 2014

doi:10.1002/pamm.201410320

BibLaTeX

@ARTICLE{Ospald:2014:1,
  AUTHOR = {Ospald, Felix},
  DATE = {2014},
  DOI = {10.1002/pamm.201410320},
  JOURNALTITLE = {Proceedings in Applied Mathematics and Mechanics},
  NUMBER = {1},
  PAGES = {673--674},
  TITLE = {Numerical simulation of injection molding using OpenFOAM},
  VOLUME = {14},
}

2013

Optimal experimental design for heat transfer experiments Proceedings

Roland Herzog and Tommy Etling

Oberwolfach Reports 10(4), p.256-257 · 2013

doi:10.4171/owr/2013/04

BibLaTeX

@ARTICLE{HerzogEtling:2013:1,
  AUTHOR = {Herzog, Roland and Etling, Tommy},
  EDITOR = {Heinkenschloss, Matthias and Schulz, Volker},
  PUBLISHER = {European Mathematical Society Publishing House},
  BOOKTITLE = {Workshop: Numerical Methods for PDE Constrained Optimization with Uncertain Data},
  DATE = {2013},
  DOI = {10.4171/owr/2013/04},
  JOURNALTITLE = {Oberwolfach Reports},
  NUMBER = {4},
  PAGES = {256--257},
  TITLE = {Optimal experimental design for heat transfer experiments},
  VOLUME = {10},
}

2012

Approximation of sparse controls in semilinear elliptic equations Proceedings

Eduardo Casas, Roland Herzog and Gerd Wachsmuth

Large-Scale Scientific Computing(7116), p.16-27 · 2012

doi:10.1007/978-3-642-29843-1_2

BibLaTeX

@INPROCEEDINGS{CasasHerzogWachsmuth:2012:1,
  AUTHOR = {Casas, Eduardo and Herzog, Roland and Wachsmuth, Gerd},
  EDITOR = {Lirkov, I. and Margenov, S. and Wasniewski, J.},
  LOCATION = {8th International Conference LSSC 2011, Sozopol, Bulgaria},
  PUBLISHER = {Springer},
  BOOKTITLE = {Large-Scale Scientific Computing},
  DATE = {2012},
  DOI = {10.1007/978-3-642-29843-1_2},
  NUMBER = {7116},
  PAGES = {16--27},
  SERIES = {Lecture Notes in Computer Science},
  TITLE = {Approximation of sparse controls in semilinear elliptic equations},
}

2010

Optimal control of the two-phase Stefan problem in level set formulation Proceedings

Martin Bernauer, Roland Herzog and Karl Kunisch

Oberwolfach Reports 7(1) · 2010

doi:10.4171/owr/2010/07

BibLaTeX

@ARTICLE{BernauerHerzogKunisch:2010:1,
  AUTHOR = {Bernauer, Martin and Herzog, Roland and Kunisch, Karl},
  EDITOR = {Elliott, Charles and Giga, Yoshikazu and Hinze, Michael and Styles, Vanessa},
  PUBLISHER = {European Mathematical Society Publishing House},
  DATE = {2010},
  DOI = {10.4171/owr/2010/07},
  ISSUETITLE = {New Directions in Simulation, Control and Analysis for Interfaces and Free Boundaries},
  JOURNALTITLE = {Oberwolfach Reports},
  NUMBER = {1},
  PAGES = {261},
  TITLE = {Optimal control of the two-phase Stefan problem in level set formulation},
  VOLUME = {7},
}

2008

A semismooth Newton method for solving elliptic equations with gradient constraints Proceedings

Roland Griesse and Karl Kunisch

Oberwolfach Reports 5(1), p.603-605 · 2008

doi:10.4171/owr/2008/13

BibLaTeX

@ARTICLE{GriesseKunisch:2010:1,
  AUTHOR = {Griesse, Roland and Kunisch, Karl},
  EDITOR = {Kunisch, Karl and Leugering, Günter and Sprekels, Jürgen and Tröltzsch, Fredi},
  PUBLISHER = {European Mathematical Society Publishing House},
  DATE = {2008},
  DOI = {10.4171/owr/2008/13},
  ISSUETITLE = {Optimal Control of Coupled Systems of PDE},
  JOURNALTITLE = {Oberwolfach Reports},
  NUMBER = {1},
  PAGES = {603--605},
  TITLE = {A semismooth Newton method for solving elliptic equations with gradient constraints},
  VOLUME = {5},
}

2007

Control issues in magnetohydrodynamics Proceedings

Roland Griesse, Amnon J. Meir and Karl Kunisch

Oberwolfach Reports 4(1), p.447-486 · 2007

doi:10.4171/owr/2007/08

BibLaTeX

@ARTICLE{GriesseMeirKunisch:2007:1,
  AUTHOR = {Griesse, Roland and Meir, Amnon J. and Kunisch, Karl},
  EDITOR = {Elliott, Charles and Hinze, Michael and Styles, Vanessa},
  PUBLISHER = {European Mathematical Society Publishing House},
  BOOKTITLE = {Mini-Workshop: Control of Free Boundaries},
  DATE = {2007},
  DOI = {10.4171/owr/2007/08},
  JOURNALTITLE = {Oberwolfach Reports},
  NUMBER = {1},
  PAGES = {447--486},
  TITLE = {Control issues in magnetohydrodynamics},
  VOLUME = {4},
}

2006

Modeling of an MHD free surface problem arising in CZ crystal growth Proceedings

Roland Griesse and Amnon J. Meir

5th IMACS Symposium on Mathematical Modelling—5th MATHMOD Vienna · 2006

BibLaTeX

@INPROCEEDINGS{GriesseMeir:2006:1,
  AUTHOR = {Griesse, Roland and Meir, Amnon J.},
  EDITOR = {Troch, I. and Breitenecker, F.},
  BOOKTITLE = {5th IMACS Symposium on Mathematical Modelling---5th MATHMOD Vienna},
  DATE = {2006},
  SERIES = {ARGESIM Reports},
  TITLE = {Modeling of an MHD free surface problem arising in CZ crystal growth},
}

Parametric sensitivity analysis for optimal boundary control of a 3D reaction-diffusion system Proceedings

Roland Griesse and Stefan Volkwein

Large-Scale Nonlinear Optimization(83), p.127-149 · 2006

BibLaTeX

@INPROCEEDINGS{GriesseVolkwein:2006:1,
  AUTHOR = {Griesse, Roland and Volkwein, Stefan},
  EDITOR = {Di Pillo, Gianni and Roma, Massimo},
  LOCATION = {Berlin},
  PUBLISHER = {Springer},
  BOOKTITLE = {Large-Scale Nonlinear Optimization},
  DATE = {2006},
  NOTE = {Proceedings of the Workshop Large Scale Nonlinear Optimization, Erice},
  NUMBER = {83},
  PAGES = {127--149},
  SERIES = {Nonconvex Optimization and its Applications},
  TITLE = {Parametric sensitivity analysis for optimal boundary control of a 3D reaction-diffusion system},
}

2005

Optimal control in magnetohydrodynamics Proceedings

Roland Griesse and Karl Kunisch

Oberwolfach Reports 2(2), p.1011-1014 · 2005

doi:10.4171/owr/2005/18

BibLaTeX

@ARTICLE{GriesseKunisch:2005:1,
  AUTHOR = {Griesse, Roland and Kunisch, Karl},
  EDITOR = {Kunisch, Karl and Leugering, Günter and Sprekels, Jürgen and Tröltzsch, Fredi},
  PUBLISHER = {European Mathematical Society Publishing House},
  BOOKTITLE = {Workshop: Optimal Control of Coupled Systems of PDE},
  DATE = {2005},
  DOI = {10.4171/owr/2005/18},
  JOURNALTITLE = {Oberwolfach Reports},
  NUMBER = {2},
  PAGES = {1011--1014},
  TITLE = {Optimal control in magnetohydrodynamics},
  VOLUME = {2},
}

2004

A semi-smooth Newton method for optimal boundary control of a nonlinear reaction-diffusion system Proceedings

Roland Griesse and Stefan Volkwein

Proceedings of the Sixteenth International Symposium on Mathematical Theory of Networks and Systems (MTNS), Leuven, Belgium · 2004

BibLaTeX

@INPROCEEDINGS{GriesseVolkwein:2004:1,
  AUTHOR = {Griesse, Roland and Volkwein, Stefan},
  BOOKTITLE = {Proceedings of the Sixteenth International Symposium on Mathematical Theory of Networks and Systems (MTNS), Leuven, Belgium},
  DATE = {2004},
  TITLE = {A semi-smooth Newton method for optimal boundary control of a nonlinear reaction-diffusion system},
}

Using AD-generated derivatives in optimal control of an industrial robot Proceedings

Roland Griesse and Andrea Walther

Progress in Industrial Mathematics at ECMI 2002(5), p.127-132 · 2004

BibLaTeX

@INPROCEEDINGS{GriesseWalther:2004:1,
  AUTHOR = {Griesse, Roland and Walther, Andrea},
  EDITOR = {Buikis, A. and Čiegis, R. and Fitt, A.},
  PUBLISHER = {Springer},
  BOOKTITLE = {Progress in Industrial Mathematics at ECMI 2002},
  DATE = {2004},
  NUMBER = {5},
  PAGES = {127--132},
  SERIES = {Mathematics in Industry},
  TITLE = {Using AD-generated derivatives in optimal control of an industrial robot},
}

2003

A reduced SQP algorithm for the optimal control of semilinear parabolic equations Proceedings

System Modeling and Optimization XX(130), p.239-253 · 2003

doi:10.1007/978-0-387-35699-0_13

BibLaTeX

@INPROCEEDINGS{Griesse:2003:1,
  AUTHOR = {Griesse, Roland},
  EDITOR = {Sachs, Ekkehard W. and Tichatschke, Rainer},
  PUBLISHER = {Kluwer Academic Publishers},
  BOOKTITLE = {System Modeling and Optimization XX},
  DATE = {2003},
  DOI = {10.1007/978-0-387-35699-0_13},
  NUMBER = {130},
  PAGES = {239--253},
  SERIES = {IFIP International Federation for Information Processing},
  TITLE = {A reduced SQP algorithm for the optimal control of semilinear parabolic equations},
}

2001

Some aspects for instantaneous boundary control of backward-facing step flow Proceedings

Karen Estefanía Loayza Romero

Short Communications in Mathematics and Mechanics 81(Supplement 2), p.S251-S252 · 2001

BibLaTeX

@ARTICLE{Griesse:2001:1,
  AUTHOR = {Griesse, Roland},
  EDITOR = {Meier, Gerd E. A.},
  DATE = {2001},
  JOURNALTITLE = {Short Communications in Mathematics and Mechanics},
  NUMBER = {Supplement 2},
  PAGES = {S251--S252},
  TITLE = {Some aspects for instantaneous boundary control of backward-facing step flow},
  VOLUME = {81},
}

Book Chapters

2026

Shape constraints in symbolic regression using penalized least squares Chapter

Viktor Martinek, Julia Reuter, Ophelia Frotscher, Sanaz Mostaghim, Markus Richter and Roland Herzog

Machine Learning and Principles and Practice of Knowledge Discovery in Databases, p.224-239 · 2026

arXiv:2405.20800 doi:10.1007/978-3-032-25305-7_16

BibLaTeX

@INBOOK{MartinekReuterFrotscherMostaghimRichterHerzog:2026:1,
  AUTHOR = {Martinek, Viktor and Reuter, Julia and Frotscher, Ophelia and Mostaghim, Sanaz and Richter, Markus and Herzog, Roland},
  EDITOR = {Cerrato, Mattia and Kalinauskaitė, Danguolė and Lukoševičius, Mantas and Pechenizkiy, Mykola and Šutienė, Kristina},
  PUBLISHER = {Springer Nature Switzerland},
  BOOKTITLE = {Machine Learning and Principles and Practice of Knowledge Discovery in Databases},
  DATE = {2026-05},
  DOI = {10.1007/978-3-032-25305-7_16},
  EPRINT = {2405.20800},
  EPRINTTYPE = {arXiv},
  PAGES = {224--239},
  TITLE = {Shape constraints in symbolic regression using penalized least squares},
}

Fast symbolic regression benchmarking Chapter

Viktor Martinek

Advances in Swarm Intelligence, p.307-317 · 2026

arXiv:2508.14481 doi:10.1007/978-981-95-0985-0_25

BibLaTeX

@INBOOK{Martinek:2025:3,
  AUTHOR = {Martinek, Viktor},
  PUBLISHER = {Springer Nature Singapore},
  BOOKTITLE = {Advances in Swarm Intelligence},
  DATE = {2026},
  DOI = {10.1007/978-981-95-0985-0_25},
  EPRINT = {2508.14481},
  EPRINTTYPE = {arXiv},
  PAGES = {307--317},
  TITLE = {Fast symbolic regression benchmarking},
}

2025

Datenassimilation und optimale Sensorplatzierung Chapter

Andreas Naumann, Ilka Riedel and Roland Herzog

Thermo-energetische Gestaltung von Werkzeugmaschinen, p.189-197 · 2025

doi:10.1007/978-3-658-45180-6_12

BibLaTeX

@INCOLLECTION{NaumannRiedelHerzog:2025:1,
  AUTHOR = {Naumann, Andreas and Riedel, Ilka and Herzog, Roland},
  PUBLISHER = {Springer Fachmedien Wiesbaden},
  BOOKTITLE = {Thermo-energetische Gestaltung von Werkzeugmaschinen},
  DATE = {2025-02},
  DOI = {10.1007/978-3-658-45180-6_12},
  PAGES = {189--197},
  TITLE = {Datenassimilation und optimale Sensorplatzierung},
}

Strukturmodelle von Werkzeugmaschinen Chapter

Holger Rudolph, Stefan Sauerzapf, Xaver Thiem, Andreas Naumann and Michael Beitelschmidt

Thermo-energetische Gestaltung von Werkzeugmaschinen, p.19-45 · 2025

doi:10.1007/978-3-658-45180-6_2

BibLaTeX

@INCOLLECTION{RudolphSauerzapfThiemNaumannBeitelschmidt:2025:1,
  AUTHOR = {Rudolph, Holger and Sauerzapf, Stefan and Thiem, Xaver and Naumann, Andreas and Beitelschmidt, Michael},
  EDITOR = {Brecher, Christian},
  PUBLISHER = {Springer Fachmedien Wiesbaden},
  BOOKTITLE = {Thermo-energetische Gestaltung von Werkzeugmaschinen},
  DATE = {2025-02},
  DOI = {10.1007/978-3-658-45180-6_2},
  PAGES = {19--45},
  TITLE = {Strukturmodelle von Werkzeugmaschinen},
}

2024

Adaptive randomized sketching for dynamic nonsmooth optimization Chapter

Robert J. Baraldi, Evelyn Herberg, Drew P. Kouri and Harbir Antil

Model Validation and Uncertainty Quantification 3, p.107-116 · 2024

doi:10.1007/978-3-031-37003-8_17

BibLaTeX

@INCOLLECTION{BaraldiHerbergKouriAntil:2023:1,
  AUTHOR = {Baraldi, Robert J. and Herberg, Evelyn and Kouri, Drew P. and Antil, Harbir},
  PUBLISHER = {Springer Nature Switzerland},
  BOOKTITLE = {Model Validation and Uncertainty Quantification},
  DATE = {2024},
  DOI = {10.1007/978-3-031-37003-8_17},
  PAGES = {107--116},
  TITLE = {Adaptive randomized sketching for dynamic nonsmooth optimization},
  VOLUME = {3},
}

2022

Reduced basis model order reduction in optimal control of a nonsmooth semilinear elliptic PDE Chapter

Marco Bernreuther, Georg Müller and Stefan Volkwein

Optimization and Control for Partial Differential Equations, p.1-32 · 2022

doi:10.1515/9783110695984-001

BibLaTeX

@INCOLLECTION{BernreutherMuellerVolkwein:2022:1,
  AUTHOR = {Bernreuther, Marco and Müller, Georg and Volkwein, Stefan},
  PUBLISHER = {De Gruyter},
  BOOKTITLE = {Optimization and Control for Partial Differential Equations},
  DATE = {2022-03},
  DOI = {10.1515/9783110695984-001},
  PAGES = {1--32},
  TITLE = {Reduced basis model order reduction in optimal control of a nonsmooth semilinear elliptic PDE},
}

Variational discretization approach applied to an optimal control problem with bounded measure controls Chapter

Evelyn Herberg and Michael Hinze

Optimization and Control for Partial Differential Equations, p.113-136 · 2022

doi:10.1515/9783110695984-006

BibLaTeX

@INCOLLECTION{HerbergHinze:2022:2,
  AUTHOR = {Herberg, Evelyn and Hinze, Michael},
  PUBLISHER = {De Gruyter},
  BOOKTITLE = {Optimization and Control for Partial Differential Equations},
  DATE = {2022-03},
  DOI = {10.1515/9783110695984-006},
  PAGES = {113--136},
  TITLE = {Variational discretization approach applied to an optimal control problem with bounded measure controls},
}

A calculus for non-smooth shape optimization with applications to geometric inverse problems Chapter

Marc Herrmann, Roland Herzog, Stephan Schmidt and José Vidal-Núñez

Non-Smooth and Complementarity-Based Distributed Parameter Systems, International Series of Numerical Mathematics(172), p.101-120 · 2022

doi:10.1007/978-3-030-79393-7_5

BibLaTeX

@INCOLLECTION{HerrmannHerzogSchmidtVidalNunez:2022:1,
  AUTHOR = {Herrmann, Marc and Herzog, Roland and Schmidt, Stephan and Vidal-Núñez, José},
  EDITOR = {Hintermüller, Michael and Herzog, Roland and Kanzow, Christian and Ulbrich, Michael and Ulbrich, Stefan},
  PUBLISHER = {Springer International Publishing},
  BOOKTITLE = {Non-Smooth and Complementarity-Based Distributed Parameter Systems},
  DATE = {2022},
  DOI = {10.1007/978-3-030-79393-7_5},
  NUMBER = {172},
  PAGES = {101--120},
  SERIES = {International Series of Numerical Mathematics},
  TITLE = {A calculus for non-smooth shape optimization with applications to geometric inverse problems},
}

Rate-independent systems and their viscous regularizations: analysis, simulation and optimal control Chapter

Roland Herzog, Dorothee Knees, Christian Meyer, Michael Sievers, Ailyn Stötzner and Stephanie Thomas

Non-Smooth and Complementarity-Based Distributed Parameter Systems, International Series of Numerical Mathematics(172) · 2022

doi:10.1007/978-3-030-79393-7_6

BibLaTeX

@INCOLLECTION{HerzogKneesMeyerSieversStoetznerThomas:2019:1,
  AUTHOR = {Herzog, Roland and Knees, Dorothee and Meyer, Christian and Sievers, Michael and Stötzner, Ailyn and Thomas, Stephanie},
  EDITOR = {Hintermüller, Michael and Herzog, Roland and Kanzow, Christian and Ulbrich, Michael and Ulbrich, Stefan},
  PUBLISHER = {Springer},
  BOOKTITLE = {Non-Smooth and Complementarity-Based Distributed Parameter Systems},
  DATE = {2022},
  DOI = {10.1007/978-3-030-79393-7_6},
  NUMBER = {172},
  SERIES = {International Series of Numerical Mathematics},
  TITLE = {Rate-independent systems and their viscous regularizations: analysis, simulation and optimal control},
}

2020

First order methods for optimization on Riemannian manifolds Chapter

Orizon Ferreira, Maurício Louzeiro and Leandro Prudente

Handbook of Variational Methods for Nonlinear Geometric Data, p.499-525 · 2020

doi:10.1007/978-3-030-31351-7_18

BibLaTeX

@INCOLLECTION{FerreiraLouzeiroPrudente:2020:1,
  AUTHOR = {Ferreira, Orizon and Louzeiro, Maurício and Prudente, Leandro},
  PUBLISHER = {Springer International Publishing},
  BOOKTITLE = {Handbook of Variational Methods for Nonlinear Geometric Data},
  DATE = {2020},
  DOI = {10.1007/978-3-030-31351-7_18},
  PAGES = {499--525},
  TITLE = {First order methods for optimization on Riemannian manifolds},
}

2019

Modellierung, integrative Simulation und Optimierung Chapter

Robert Dietze, Niels Goldberg, Roland Herzog, Susann Hannusch, Michael Hofmann, Jörn Ihlemann, Lothar Kroll, Arnd Meyer, Felix Ospald, Edgar Peretzki, Gudula Rünger, Hansjörg Schmidt, Norbert Schramm, Rolf Springer, Martin Stockmann and Lars Ulke-Winter

Technologiefusion für multifunktionale Leichtbaustrukturen, p.577-645 · 2019

doi:10.1007/978-3-662-54734-2_8

BibLaTeX

@INCOLLECTION{DietzeGoldbergHerzogHannuschHofmannIhlemannKrollMeyerOspaldPeretzkiRuengerSchmidtSchrammSpringerStockmannUlkeWinter:2019:1,
  AUTHOR = {Dietze, Robert and Goldberg, Niels and Herzog, Roland and Hannusch, Susann and Hofmann, Michael and Ihlemann, Jörn and Kroll, Lothar and Meyer, Arnd and Ospald, Felix and Peretzki, Edgar and Rünger, Gudula and Schmidt, Hansjörg and Schramm, Norbert and Springer, Rolf and Stockmann, Martin and Ulke-Winter, Lars},
  EDITOR = {Kroll, Lothar},
  PUBLISHER = {Springer Berlin Heidelberg},
  BOOKSUBTITLE = {Ressourceneffizienz durch die Schlüsseltechnologie ``Leichtbau''},
  BOOKTITLE = {Technologiefusion für multifunktionale Leichtbaustrukturen},
  DATE = {2019},
  DOI = {10.1007/978-3-662-54734-2_8},
  PAGES = {577--645},
  TITLE = {Modellierung, integrative Simulation und Optimierung},
}

2018

Improving policies for Hamilton-Jacobi-Bellman equations by postprocessing Chapter

Jan Blechschmidt and Roland Herzog

Hamilton-Jacobi-Bellman Equations, Radon Series on Computational and Applied Mathematics(21), p.25-42 · 2018

doi:10.1515/9783110543599-002

BibLaTeX

@INCOLLECTION{BlechschmidtHerzog:2018:1,
  AUTHOR = {Blechschmidt, Jan and Herzog, Roland},
  PUBLISHER = {De Gruyter, Berlin},
  BOOKTITLE = {Hamilton-Jacobi-Bellman Equations},
  DATE = {2018},
  DOI = {10.1515/9783110543599-002},
  NUMBER = {21},
  PAGES = {25--42},
  SERIES = {Radon Series on Computational and Applied Mathematics},
  TITLE = {Improving policies for Hamilton-Jacobi-Bellman equations by postprocessing},
}

2015

Correction algorithms and high-dimensional characteristic diagrams Chapter

Christian Naumann, Ilka Riedel, Ulrich Priber and Roland Herzog

Thermo-Energetic Design of Machine Tools, Lecture Notes in Production Engineering, p.159-174 · 2015

doi:10.1007/978-3-319-12625-8_14

BibLaTeX

@INCOLLECTION{NaumannRiedelPriberHerzog:2015:1,
  AUTHOR = {Naumann, Christian and Riedel, Ilka and Priber, Ulrich and Herzog, Roland},
  EDITOR = {Großmann, Knut},
  PUBLISHER = {Springer International Publishing},
  BOOKTITLE = {Thermo-Energetic Design of Machine Tools},
  DATE = {2015},
  DOI = {10.1007/978-3-319-12625-8_14},
  PAGES = {159--174},
  SERIES = {Lecture Notes in Production Engineering},
  TITLE = {Correction algorithms and high-dimensional characteristic diagrams},
}

2014

Optimal control of elastoplastic processes: analysis, algorithms, numerical analysis and applications Chapter

Roland Herzog, Christian Meyer and Gerd Wachsmuth

Trends in PDE Constrained Optimization, International Series of Numerical Mathematics(165), p.27-41 · 2014

doi:10.1007/978-3-319-05083-6_4

BibLaTeX

@INCOLLECTION{HerzogMeyerWachsmuth:2014:1,
  AUTHOR = {Herzog, Roland and Meyer, Christian and Wachsmuth, Gerd},
  PUBLISHER = {Springer},
  BOOKTITLE = {Trends in PDE Constrained Optimization},
  DATE = {2014},
  DOI = {10.1007/978-3-319-05083-6_4},
  NUMBER = {165},
  PAGES = {27--41},
  SERIES = {International Series of Numerical Mathematics},
  TITLE = {Optimal control of elastoplastic processes: analysis, algorithms, numerical analysis and applications},
}

OPTPDE: a collection of problems in PDE-constrained optimization Chapter

Roland Herzog, Arnd Rösch, Stefan Ulbrich and Winnifried Wollner

Trends in PDE Constrained Optimization, International Series of Numerical Mathematics(165), p.539-543 · 2014

doi:10.1007/978-3-319-05083-6_34

BibLaTeX

@INCOLLECTION{HerzogRoeschUlbrichWollner:2014:2,
  AUTHOR = {Herzog, Roland and Rösch, Arnd and Ulbrich, Stefan and Wollner, Winnifried},
  PUBLISHER = {Springer},
  BOOKTITLE = {Trends in PDE Constrained Optimization},
  DATE = {2014},
  DOI = {10.1007/978-3-319-05083-6_34},
  NUMBER = {165},
  PAGES = {539--543},
  SERIES = {International Series of Numerical Mathematics},
  TITLE = {OPTPDE: a collection of problems in PDE-constrained optimization},
}

2013

Necessary conditions for convergence rates of regularizations of optimal control problems Chapter

Daniel Wachsmuth and Gerd Wachsmuth

System Modeling and Optimization, IFIP Advances in Information and Communication Technology(391), p.145-154 · 2013

doi:10.1007/978-3-642-36062-6_15

BibLaTeX

@INCOLLECTION{WachsmuthWachsmuth:2013:1,
  AUTHOR = {Wachsmuth, Daniel and Wachsmuth, Gerd},
  EDITOR = {Hömberg, Dietmar and Tröltzsch, Fredi},
  PUBLISHER = {Springer Berlin Heidelberg},
  BOOKTITLE = {System Modeling and Optimization},
  DATE = {2013},
  DOI = {10.1007/978-3-642-36062-6_15},
  NUMBER = {391},
  PAGES = {145--154},
  SERIES = {IFIP Advances in Information and Communication Technology},
  TITLE = {Necessary conditions for convergence rates of regularizations of optimal control problems},
}

Dissertations and Habilitation Theses

2026

Shape Segmentation and Denoising Based on Total-Variation Functionals Thesis

Manuel Weiß

Ph.D. thesis, Heidelberg University · 2026

doi:10.11588/heidok.00038720

BibLaTeX

@THESIS{Weiss:2026:1,
  AUTHOR = {Weiß, Manuel},
  INSTITUTION = {Heidelberg University},
  DATE = {2026-06-09},
  DOI = {10.11588/heidok.00038720},
  TITLE = {Shape Segmentation and Denoising Based on Total-Variation Functionals},
  TYPE = {phdthesis},
}

Nonlinear Optimization Techniques Applied to Neural Network Training Thesis

Leonie Kreis

Ph.D. thesis, Heidelberg University · 2026

doi:10.11588/heidok.00038315

BibLaTeX

@THESIS{Kreis:2026:1,
  AUTHOR = {Kreis, Leonie},
  INSTITUTION = {Heidelberg University},
  DATE = {2026-03-25},
  DOI = {10.11588/heidok.00038315},
  TITLE = {Nonlinear Optimization Techniques Applied to Neural Network Training},
  TYPE = {phdthesis},
}

2024

Optimal Control of Nonlocal Partial Differential Equations Thesis

Masoumeh Hashemi

Ph.D. thesis, Heidelberg University · 2024

doi:10.11588/heidok.00034621

BibLaTeX

@THESIS{Hashemi:2024:1,
  AUTHOR = {Hashemi, Masoumeh},
  INSTITUTION = {Heidelberg University},
  DATE = {2024-03-27},
  DOI = {10.11588/heidok.00034621},
  TITLE = {Optimal Control of Nonlocal Partial Differential Equations},
  TYPE = {phdthesis},
}

2022

A Discrete Perspective on PDE-Constrained Shape Optimization Problems Thesis

Ph.D. thesis, Heidelberg University · 2022

doi:10.11588/heidok.00031378

BibLaTeX

@THESIS{LoayzaRomero:2022:1,
  AUTHOR = {Loayza Romero, Karen Estefanía},
  INSTITUTION = {Heidelberg University},
  DATE = {2022-03-11},
  DOI = {10.11588/heidok.00031378},
  TITLE = {A Discrete Perspective on PDE-Constrained Shape Optimization Problems},
  TYPE = {phdthesis},
}

Numerical Methods for Stochastic Control Problems with Applications in Financial Mathematics Thesis

Jan Blechschmidt

Ph.D. thesis, Technische Universität Chemnitz · 2022

urn:nbn:de:bsz:ch1-qucosa2-792270

BibLaTeX

@THESIS{Blechschmidt:2022:1,
  AUTHOR = {Blechschmidt, Jan},
  INSTITUTION = {Technische Universität Chemnitz},
  DATE = {2022},
  EPRINT = {urn:nbn:de:bsz:ch1-qucosa2-792270},
  EPRINTTYPE = {urn},
  TITLE = {Numerical Methods for Stochastic Control Problems with Applications in Financial Mathematics},
  TYPE = {phdthesis},
}

2019

Optimal Control of Time-Discretized Contact Problems Thesis

Georg Müller

Ph.D. thesis, University of Bayreuth · 2019

urn:nbn:de:bvb:703-epub-4379-0

BibLaTeX

@THESIS{Mueller:2019:1,
  AUTHOR = {Müller, Georg},
  INSTITUTION = {University of Bayreuth},
  DATE = {2019},
  EPRINT = {urn:nbn:de:bvb:703-epub-4379-0},
  EPRINTTYPE = {urn},
  TITLE = {Optimal Control of Time-Discretized Contact Problems},
  TYPE = {phdthesis},
}

Contributions to the Simulation and Optimization of the Manufacturing Process and the Mechanical Properties of Short Fiber-Reinforced Plastic Parts Thesis

Felix Ospald

Ph.D. thesis, Technische Universität Chemnitz, Germany · 2019

urn:nbn:de:bsz:ch1-qucosa2-365224

BibLaTeX

@THESIS{Ospald:2019:2,
  AUTHOR = {Ospald, Felix},
  INSTITUTION = {Technische Universität Chemnitz, Germany},
  DATE = {2019},
  EPRINT = {urn:nbn:de:bsz:ch1-qucosa2-365224},
  EPRINTTYPE = {urn},
  TITLE = {Contributions to the Simulation and Optimization of the Manufacturing Process and the Mechanical Properties of Short Fiber-Reinforced Plastic Parts},
  TYPE = {phdthesis},
}

2018

Optimal Control of Thermoviscoplasticity Thesis

Ailyn Stötzner

Ph.D. thesis, Technische Universität Chemnitz, Germany · 2018

urn:nbn:de:bsz:ch1-qucosa2-318874

BibLaTeX

@THESIS{Stoetzner:2018:1,
  AUTHOR = {Stötzner, Ailyn},
  INSTITUTION = {Technische Universität Chemnitz, Germany},
  DATE = {2018},
  EPRINT = {urn:nbn:de:bsz:ch1-qucosa2-318874},
  EPRINTTYPE = {urn},
  TITLE = {Optimal Control of Thermoviscoplasticity},
  TYPE = {phdthesis},
}

2017

Optimization Problems with Complementarity Constraints in Infinite-Dimensional Spaces Thesis

Habilitation thesis, Technische Universität Chemnitz · 2017

urn:nbn:de:bsz:ch1-qucosa-227446

BibLaTeX

@THESIS{Wachsmuth:2017:3,
  AUTHOR = {Wachsmuth, Gerd},
  INSTITUTION = {Technische Universität Chemnitz},
  DATE = {2017},
  EPRINT = {urn:nbn:de:bsz:ch1-qucosa-227446},
  EPRINTTYPE = {urn},
  TITLE = {Optimization Problems with Complementarity Constraints in Infinite-Dimensional Spaces},
  TYPE = {Habilitation thesis},
}

2014

Numerical Aspects in Optimal Control of Elasticity Models with Large Deformations Thesis

Andreas Günnel

Ph.D. thesis, Technische Universität Chemnitz, Germany · 2014

urn:nbn:de:bsz:ch1-qucosa-150930

BibLaTeX

@THESIS{Guennel:2014:1,
  AUTHOR = {Günnel, Andreas},
  INSTITUTION = {Technische Universität Chemnitz, Germany},
  DATE = {2014},
  EPRINT = {urn:nbn:de:bsz:ch1-qucosa-150930},
  EPRINTTYPE = {urn},
  TITLE = {Numerical Aspects in Optimal Control of Elasticity Models with Large Deformations},
  TYPE = {phdthesis},
}

2011

Optimal Control of Quasistatic Plasticity – An MPCC in Function Space Thesis

Ph.D. thesis, Technische Universität Chemnitz, Germany · 2011

BibLaTeX

@THESIS{Wachsmuth:2011:1,
  AUTHOR = {Wachsmuth, Gerd},
  INSTITUTION = {Technische Universität Chemnitz, Germany},
  DATE = {2011},
  TITLE = {Optimal Control of Quasistatic Plasticity -- An MPCC in Function Space},
  TYPE = {phdthesis},
}

2010

Motion Planning for the Two-Phase Stefan Problem in Level Set Formulation Thesis

Martin Bernauer

Ph.D. thesis, Technische Universität Chemnitz, Germany · 2010

urn:nbn:de:bsz:ch1-qucosa-63654

BibLaTeX

@THESIS{Bernauer:2010:1,
  AUTHOR = {Bernauer, Martin},
  INSTITUTION = {Technische Universität Chemnitz, Germany},
  DATE = {2010},
  EPRINT = {urn:nbn:de:bsz:ch1-qucosa-63654},
  EPRINTTYPE = {urn},
  TITLE = {Motion Planning for the Two-Phase Stefan Problem in Level Set Formulation},
  TYPE = {phdthesis},
}

2008

The Sequential Quadratic Programming Method for Elliptic Control Problems with Mixed Control-State Constraints Thesis

Nataliya Metla

Ph.D. thesis, Johannes Kepler University Linz · 2008

https://lisss.jku.at/permalink/f/1l2ai6m/ULI_alma2138944000003340

BibLaTeX

@THESIS{Metla:2008:1,
  AUTHOR = {Metla, Nataliya},
  INSTITUTION = {Johannes Kepler University Linz},
  URL = {https://lisss.jku.at/permalink/f/1l2ai6m/ULI_alma2138944000003340},
  DATE = {2008-08},
  TITLE = {The Sequential Quadratic Programming Method for Elliptic Control Problems with Mixed Control-State Constraints},
  TYPE = {phdthesis},
}

2007

Stability and Sensitivity Analysis in Optimal Control of Partial Differential Equations Thesis

Habilitation thesis, Faculty of Natural Sciences, Karl-Franzens University Graz · 2007

BibLaTeX

@THESIS{Griesse:2007:1,
  AUTHOR = {Griesse, Roland},
  INSTITUTION = {Faculty of Natural Sciences, Karl-Franzens University Graz},
  DATE = {2007},
  TITLE = {Stability and Sensitivity Analysis in Optimal Control of Partial Differential Equations},
  TYPE = {Habilitation thesis},
}

2003

Parametric Sensitivity Analysis for Control-Constrained Optimal Control Problems Governed by Systems of Parabolic Partial Differential Equations Thesis

Ph.D. thesis, Universität Bayreuth · 2003

BibLaTeX

@THESIS{Griesse:2003:2,
  AUTHOR = {Griesse, Roland},
  INSTITUTION = {Universität Bayreuth},
  DATE = {2003},
  TITLE = {Parametric Sensitivity Analysis for Control-Constrained Optimal Control Problems Governed by Systems of Parabolic Partial Differential Equations},
  TYPE = {phdthesis},
}

Other Publications

2023

Introducing thermodynamics-informed symbolic regression – a tool for thermodynamic equations of state development Other

Viktor Martinek, Ophelia Frotscher, Markus Richter and Roland Herzog

2023

arXiv:2309.02805

BibLaTeX

@ONLINE{MartinekFrotscherRichterHerzog:2023:1,
  AUTHOR = {Martinek, Viktor and Frotscher, Ophelia and Richter, Markus and Herzog, Roland},
  DATE = {2023-09},
  EPRINT = {2309.02805},
  EPRINTTYPE = {arXiv},
  TITLE = {Introducing thermodynamics-informed symbolic regression -- a tool for thermodynamic equations of state development},
}

Lecture Notes: Neural Network Architectures Other

Evelyn Herberg

2023

arXiv:2304.05133

BibLaTeX

@ONLINE{Herberg:2023:1,
  AUTHOR = {Herberg, Evelyn},
  DATE = {2023-04},
  EPRINT = {2304.05133},
  EPRINTTYPE = {arXiv},
  TITLE = {Lecture Notes: Neural Network Architectures},
}

2020

Shape optimization of actuators over Banach spaces for nonlinear systems Other

M. Sajjad Edalatzadeh, Dante Kalise, Kirsten A. Morris and Kevin Sturm

2020

arXiv:2002.07172

BibLaTeX

@ONLINE{EdalatzadehKaliseMorrisSturm:2020:1,
  AUTHOR = {Edalatzadeh, M. Sajjad and Kalise, Dante and Morris, Kirsten A. and Sturm, Kevin},
  DATE = {2020-02},
  EPRINT = {2002.07172},
  EPRINTTYPE = {arXiv},
  TITLE = {Shape optimization of actuators over Banach spaces for nonlinear systems},
}

Short note on a relation between the inverse of the cosine and Carlson's elliptic integral R_D Other