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Maurício Silva Louzeiro
,
Ronny Bergmann
,
Roland Herzog
(2022).
Fenchel duality and a separation theorem on Hadamard manifolds
. SIAM Journal on Optimization 32(2), p.854-873.
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DOI
arXiv
Kai Bergermann
,
Carsten Deibel
,
Roland Herzog
,
Roderick C. I. MacKenzie
,
Jan-Frederik Pietschmann
,
Martin Stoll
(2022).
Preconditioning for a phase-field model with application to morphology evolution in organic semiconductors
.
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arXiv
Roland Herzog
,
Matthias Heinkenschloss
,
Dante Kalise
,
Georg Stadler
,
Emmanuel Trélat
(2022).
Optimization and Control for Partial Differential Equations
.
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DOI
Michael Hintermüller
,
Roland Herzog
,
Christian Kanzow
,
Michael Ulbrich
,
Stefan Ulbrich
(2022).
Non-Smooth and Complementarity-Based Distributed Parameter Systems
.
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DOI
Ophelia Frotscher
,
Roland Herzog
,
Markus Richter
(2021).
Planning of measurement series for thermodynamic properties based on optimal experimental design
. International Journal of Thermophysics 42(7).
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DOI
arXiv
Roland Herzog
(2021).
Dimensionally consistent preconditioning for saddle-point problems
. Computational Methods in Applied Mathematics 21(3), p.593-607.
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DOI
arXiv
Robert Altmann
,
Roland Herzog
(2021).
Continuous Galerkin schemes for semiexplicit differential-algebraic equations
. IMA Journal of Numerical Analysis.
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DOI
arXiv
Christian Brecher
,
Roland Herzog
,
Robert Spierling
,
Andreas Naumann
,
Filippos Tzanetos
(2021).
Optimal positioning methods of integral deformation sensors -- expert knowledge versus mathematical optimization
. in: MM Science Journal, p.4628-4635.
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DOI
Julia Vettermann
,
Stefan Sauerzapf
,
Andreas Naumann
,
Jens Saak
,
Peter Benner
,
Michael Beitelschmidt
,
Roland Herzog
(2021).
Model order reduction methods for coupled machine tool models
. in: MM Science Journal.
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DOI
Felix Ospald
,
Kai Bergermann
,
Roland Herzog
(2021).
An extension of the strain transfer principle for fiber reinforced materials
. Computational Mechanics 67(5), p.1453-1463.
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DOI
arXiv
Caroline Geiersbach
,
Estefanía Loayza-Romero
,
Kathrin Welker
(2021).
Stochastic approximation for optimization in shape spaces
. SIAM Journal on Optimization 31(1), p.348-376.
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DOI
arXiv
Marco Bernreuther
,
Georg Müller
,
Stefan Volkwein
(2021).
Stationarity conditions and scalarization in multiobjective optimal control of a nonsmooth PDE
.
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URL
Marco Bernreuther
,
Georg Müller
,
Stefan Volkwein
(2021).
Reduced basis model order reduction in optimal control of a nonsmooth semilinear elliptic PDE
. in: Optimization and Control for Partial Differential Equations, Radon Series on Computational and Applied Mathematics.
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Andreas Naumann
,
Roland Herzog
(2021).
Optimal sensor placement for thermo-elastic coupled machine models
. in: Proceedings in Applied Mathematics and Mechanics 20(1).
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DOI
Masoumeh Hashemi
,
Roland Herzog
,
Thomas M. Surowiec
(2021).
Optimal control of the Kirchhoff equation
.
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arXiv
Gabriele Ciaramella
,
Felix Kwok
,
Georg Müller
(2021).
Nonlinear optimized Schwarz preconditioner for elliptic optimal control problems
.
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arXiv
Constantin Christof
,
Georg Müller
(2021).
Multiobjective optimal control of a non-smooth semilinear elliptic partial differential equation
. ESAIM: Control, Optimisation and Calculus of Variations 27, p.S13.
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DOI
Ronny Bergmann
,
Roland Herzog
,
Julián Ortiz López
,
Anton Schiela
(2021).
First- and second-order analysis for optimization problems with manifold-valued constraints
.
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arXiv
Ronny Bergmann
,
Roland Herzog
,
Maurício Silva Louzeiro
,
Daniel Tenbrinck
,
José Vidal-Núñez
(2021).
Fenchel duality theory and a primal-dual algorithm on Riemannian manifolds
. Foundations of Computational Mathematics 21(6), p.1465-1504.
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DOI
arXiv
Roland Herzog
,
Dmytro Strelnikov
(2021).
An optimal control problem for single-spot pulsed laser welding
.
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arXiv
Roland Herzog
,
Estefanía Loayza-Romero
(2021).
A discretize-then-optimize approach to PDE-constrained shape optimization
.
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arXiv
Jan Blechschmidt
,
Roland Herzog
,
Max Winkler
(2020).
Error estimation for second-order partial differential equations in nonvariational form
. Numerical Methods for Partial Differential Equations 37(3), p.2190-2221.
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DOI
arXiv
María Dolores Fajardo
,
Sorin-Mihai Grad
,
José Vidal
(2020).
New duality results for evenly convex optimization problems
. Optimization, p.1-22.
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DOI
arXiv
Johannes Görthofer
,
Matti Schneider
,
Felix Ospald
,
Andrew Hrymak
,
Thomas Böhlke
(2020).
Computational homogenization of sheet molding compound composites based on high fidelity representative volume elements
. Computational Materials Science 174, p.109456.
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DOI
Stefan Sauerzapf
,
Julia Vettermann
,
Andreas Naumann
,
Jens Saak
,
Michael Beitelschmidt
,
Peter Benner
(2020).
Simulation of the thermal behavior of machine tools for efficient machine development and online correction of the tool center point (TCP)-displacement
. in: , p.135-138.
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URL
Christian Brecher
,
Roland Herzog
,
Robert Spierling
,
Filippos Tzanetos
,
Andreas Naumann
(2020).
Evaluation of optimal positioning methods of integral deformation sensors for the correction of thermal errors in machine tools
. in: euspen Special Interest Group Meeting on Thermal Issues, p.26-29.
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URL
Max Winkler
(2020).
Error estimates for the finite element approximation of bilinear boundary control problems
. Computational Optimization and Applications 76(1), p.155-199.
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DOI
Ronny Bergmann
,
Marc Herrmann
,
Roland Herzog
,
Stephan Schmidt
,
José Vidal-Núñez
(2020).
Total variation of the normal vector field as shape prior
. Inverse Problems 36(5), p.054004.
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DOI
arXiv
Felix Ospald
,
Roland Herzog
(2020).
Short note on a relation between the inverse of the cosine and Carlson's elliptic integral $R_D$
.
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arXiv
M. Sajjad Edalatzadeh
,
Dante Kalise
,
Kirsten A. Morris
,
Kevin Sturm
(2020).
Shape optimization of actuators over Banach spaces for nonlinear systems
.
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arXiv
Roland Herzog
,
Jan-Frederik Pietschmann
,
Max Winkler
(2020).
Optimal control of Hughes' model for pedestrian flow via local attraction
.
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arXiv
Lukas Baumgärtner
,
Ronny Bergmann
,
Marc Herrmann
,
Roland Herzog
,
Stephan Schmidt
,
José Vidal-Núñez
(2020).
Mesh denoising and inpainting using the total variation of the normal
.
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arXiv
Joseph Hart
,
Bart Bloemen Waanders
,
Roland Herzog
(2020).
Hyper-differential sensitivity analysis of uncertain parameters in PDE-constrained optimization
. International Journal for Uncertainty Quantification 10(3), p.225-248.
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DOI
arXiv
Roland Herzog
,
Eric Legler
(2020).
First-order methods for optimal experimental design problems with bound constraints
.
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arXiv
Orizon Ferreira
,
Maurício Louzeiro
,
Leandro Prudente
(2020).
First order methods for optimization on Riemannian manifolds
. in: Handbook of Variational Methods for Nonlinear Geometric Data, p.499-525.
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DOI
Tommy Etling
,
Roland Herzog
,
Estefanía Loayza
,
Gerd Wachsmuth
(2020).
First and second order shape optimization based on restricted mesh deformations
. SIAM Journal on Scientific Computing 42(2), p.A1200-A1225.
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DOI
arXiv
Ronny Bergmann
,
Marc Herrmann
,
Roland Herzog
,
Stephan Schmidt
,
José Vidal-Núñez
(2020).
Discrete total variation of the normal vector field as shape prior with applications in geometric inverse problems
. Inverse Problems 36(5), p.054003.
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DOI
arXiv
Edvaldo Elias Batista
,
Glaydston Bento
,
Orizon Ferreira
(2020).
An extragradient-type algorithm for variational inequality on Hadamard manifolds
. ESAIM: Control, Optimisation and Calculus of Variations 26, p.63.
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DOI
arXiv
Roland Herzog
,
Estefanía Loayza-Romero
(2020).
A manifold of planar triangular meshes with complete Riemannian metric
.
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arXiv
Orizon Ferreira
,
Maurício Louzeiro
,
Leandro Prudente
(2019).
Iteration-complexity and asymptotic analysis of steepest descent method for multiobjective optimization on Riemannian manifolds
. Journal of Optimization Theory and Applications 184(2), p.507-533.
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DOI
Glaydston Carvalho Bento
,
Sandro Dimy Barbosa Bitar
,
João Xavier Cruz Neto
,
Antoine Soubeyran
,
João Carlos Oliveira Souza
(2019).
A proximal point method for difference of convex functions in multi-objective optimization with application to group dynamic problems
. Computational Optimization and Applications 75(1), p.263-290.
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DOI
Glaydston Carvalho Bento
,
Sandro Dimy Barbosa Bitar
,
João Xavier Cruz Neto
,
Paulo Roberto Oliveira
,
João Carlos Oliveira Souza
(2019).
Computing Riemannian center of mass on Hadamard manifolds
. Journal of Optimization Theory and Applications 183(3), p.977-992.
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DOI
Felix Ospald
(2019).
fibergen: An introductory tool for FFT-based material homogenization
. Journal of Open Source Software 4(34), p.1027.
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DOI
Juan Carlos Reyes
,
Estefanía Loayza-Romero
(2019).
Total generalized variation regularization in data assimilation for Burgers' equation
. Inverse Problems and Imaging 13(4), p.755-786.
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DOI
Ronny Bergmann
,
Roland Herzog
,
Estefanía Loayza-Romero
,
Kathrin Welker
(2019).
Shape optimization: what to do first, optimize or discretize?
. in: Proceedings in Applied Mathematics and Mechanics 19(1).
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DOI
Roland Herzog
,
Dorothee Knees
,
Christian Meyer
,
Michael Sievers
,
Ailyn Stötzner
,
Stephanie Thomas
(2019).
Rate-independent systems and their viscous regularizations: analysis, simulation and optimal control
. in: Non-Smooth and Complementarity-Based Distributed Parameter Systems, International Series of Numerical Mathematics.
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Tommy Etling
,
Roland Herzog
,
Martin Siebenborn
(2019).
Optimum experimental design for interface identification problems
. SIAM Journal on Scientific Computing 41(6), p.A3498-A3523.
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DOI
arXiv
Martin Stoll
,
Max Winkler
(2019).
Optimization of a partial differential equation on a complex network
.
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arXiv
M. Sajjad Edalatzadeh
,
Dante Kalise
,
Kirsten A. Morris
,
Kevin Sturm
(2019).
Optimal actuator design for vibration control based on LQR performance and shape calculus
.
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arXiv
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
,
Lars Ulke-Winter
(2019).
Modellierung, integrative Simulation und Optimierung
. in: Technologiefusion für multifunktionale Leichtbaustrukturen: Ressourceneffizienz durch die Schlüsseltechnologie ``Leichtbau'', p.577-645.
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DOI
Ronny Bergmann
,
Roland Herzog
(2019).
Intrinsic formulation of KKT conditions and constraint qualifications on smooth manifolds
. SIAM Journal on Optimization 29(4), p.2423-2444.
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DOI
arXiv
Roland Herzog
,
Ailyn Stötzner
(2019).
Hadamard differentiability of the solution map in thermoviscoplasticity
. Pure and Applied Functional Analysis 4(2), p.271-295.
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Orizon Ferreira
,
Maurício Louzeiro
,
Leandro Prudente
(2019).
Gradient method for optimization on Riemannian manifolds with lower bounded curvature
. SIAM Journal on Optimization 29(4), p.2517-2541.
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DOI
Ronny Bergmann
,
Marc Herrmann
,
Roland Herzog
,
Stephan Schmidt
,
José Vidal-Núñez
(2019).
Geometry processing problems using the total variation of the normal vector field
. in: Proceedings in Applied Mathematics and Mechanics 19(1).
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DOI
Johannes Pfefferer
,
Max Winkler
(2019).
Finite element error estimates for normal derivatives on boundary concentrated meshes
. SIAM Journal on Numerical Analysis 57(5), p.2043-2073.
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DOI
Roland Herzog
,
John W. Pearson
,
Martin Stoll
(2019).
Fast iterative solvers for an optimal transport problem
. Advances in Computational Mathematics 45(2), p.495-517.
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DOI
arXiv
Max Winkler
(2019).
Error estimates for variational normal derivatives and Dirichlet control problems with energy regularization
. Numerische Mathematik.
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DOI
Marc Herrmann
,
Roland Herzog
,
Stephan Schmidt
,
José Vidal-Núñez
,
Gerd Wachsmuth
(2019).
Discrete total variation with finite elements and applications to imaging
. Journal of Mathematical Imaging and Vision 61(4), p.411-431.
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DOI
arXiv
Constantin Christof
,
Gerd Wachsmuth
(2019).
Differential sensitivity analysis of variational inequalities with locally Lipschitz continuous solution operators
. Applied Mathematics & Optimization 81(1), p.23-62.
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DOI
arXiv
Caroline Geiersbach
,
Estefanía Loayza
,
Kathrin Welker
(2019).
Computational aspects for interface identification problems with stochastic modelling
.
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arXiv
Peter Benner
,
Roland Herzog
,
Norman Lang
,
Ilka Riedel
,
Jens Saak
(2019).
Comparison of model order reduction methods for optimal sensor placement for thermo-elastic models
. Engineering Optimization 51(3), p.465-483.
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DOI
Gerd Wachsmuth
(2019).
A guided tour of polyhedric sets
. Journal of Convex Analysis 26(1), p.153-188.
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Thomas Apel
,
Sergejs Rogovs
,
Johannes Pfefferer
,
Max Winkler
(2018).
Maximum norm error estimates for Neumann boundary value problems on graded meshes
. IMA Journal of Numerical Analysis 40(1), p.474-497.
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DOI
arXiv
Felix Harder
,
Gerd Wachsmuth
(2018).
Optimality conditions for a class of inverse optimal control problems with partial differential equations
. Optimization 68(2–3), p.615-643.
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DOI
Felix Harder
,
Gerd Wachsmuth
(2018).
The limiting normal cone of a complementarity set in Sobolev spaces
. Optimization, p.1-25.
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DOI
Jonathan Köbler
,
Matti Schneider
,
Felix Ospald
,
Heiko Andrä
,
Ralf Müller
(2018).
Fiber orientation interpolation for the multiscale analysis of short fiber reinforced composite parts
. Computational Mechanics 61(6), p.729-750.
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DOI
Bernardo González Merino
,
Thomas Jahn
,
Alexandr Polyanskii
,
Gerd Wachsmuth
(2018).
Hunting for reduced polytopes
. Discrete & Computational Geometry 60(3), p.801-808.
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DOI
arXiv
Constantin Christof
,
Georg Müller
(2018).
A note on the equivalence and the boundary behavior of a class of Sobolev capacities
. GAMM-Mitteilungen 40(3), p.238-266.
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DOI
Eduardo Casas
,
Daniel Wachsmuth
,
Gerd Wachsmuth
(2018).
Second-order analysis and numerical approximation for bang-bang bilinear control problems
. SIAM Journal on Control and Optimization 56(6), p.4203-4227.
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DOI
Gerd Wachsmuth
(2018).
Pointwise constraints in vector-valued Sobolev spaces. With applications in optimal control
. Applied Mathematics & Optimization 77(3), p.463-497.
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DOI
Tommy Etling
,
Roland Herzog
(2018).
Optimum experimental design by shape optimization of specimens in linear elasticity
. SIAM Journal on Applied Mathematics 78(3), p.1553-1576.
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DOI
Roland Herzog
,
Ilka Riedel
,
Dariusz Uciński
(2018).
Optimal sensor placement for joint parameter and state estimation problems in large-scale dynamical systems with applications to thermo-mechanics
. Optimization and Engineering 19(3), p.591-627.
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DOI
Peter Benner
,
Roland Herzog
,
Norman Lang
,
Ilka Riedel
,
Jens Saak
(2018).
Optimal sensor placement based on model order reduction
. in: Proceedings of the 1st Conference on Thermal Issues in Machine Tools, p.355-365.
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URL
Sven-Joachim Kimmerle
,
Matthias Gerdts
,
Roland Herzog
(2018).
Optimal control of an elastic crane-trolley-load system---A case study for optimal control of coupled ODE-PDE systems
. Mathematical and Computer Modelling of Dynamical Systems 24(2), p.182-206.
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DOI
Constantin Christof
,
Gerd Wachsmuth
(2018).
On the non-polyhedricity of sets with upper and lower bounds in dual spaces
. GAMM-Mitteilungen 40(4), p.339-350.
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DOI
Constantin Christof
,
Gerd Wachsmuth
(2018).
No-gap second-order conditions via a directional curvature functional
. SIAM Journal on Optimization 28(3), p.2097-2130.
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DOI
Felix Harder
(2018).
Legendre forms in reflexive Banach spaces
. Zeitschrift für Analysis und ihre Anwendungen 37(4), p.377-388.
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DOI
Roland Herzog
,
Kirk Soodhalter
(2018).
Iterative solution of optimality systems in optimal control
. in: Oberwolfach Reports 14(1), p.185-186.
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DOI
Jan Blechschmidt
,
Roland Herzog
(2018).
Improving policies for Hamilton-Jacobi-Bellman equations by postprocessing
. in: Hamilton-Jacobi-Bellman Equations, Radon Series on Computational and Applied Mathematics 21, p.25-42.
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DOI
Felix Harder
,
Gerd Wachsmuth
(2018).
Comparison of optimality systems for the optimal control of the obstacle problem
. GAMM-Mitteilungen 40(4), p.312-338.
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DOI
Marc Herrmann
,
Roland Herzog
,
Heiko Kröner
,
Stephan Schmidt
,
José Vidal-Núñez
(2018).
Analysis and an interior point approach for TV image reconstruction problems on smooth surfaces
. SIAM Journal on Imaging Sciences 11(2), p.889-922.
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DOI
Sven-Joachim Kimmerle
,
Matthias Gerdts
,
Roland Herzog
(2018).
An optimal control problem for a rotating elastic crane-trolley-load system
. IFAC-PapersOnLine 51(2), p.272-277.
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DOI
Ronny Bergmann
,
Pierre-Yves Gousenbourger
(2018).
A variational model for data fitting on manifolds by minimizing the acceleration of a Bézier curve
. Frontiers in Applied Mathematics and Statistics 4.
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DOI
arXiv
Felix Ospald
,
Roland Herzog
(2017).
Topology optimization for injection molding of short fiber-reinforced plastics
. in: Proceedings in Applied Mathematics and Mechanics 17(1), p.337-338.
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DOI
Patrick Mehlitz
,
Gerd Wachsmuth
(2017).
The weak sequential closure of decomposable sets in Lebesgue spaces and its application to variational geometry
. Set-Valued and Variational Analysis 27(1), p.265-294.
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DOI
Felix Ospald
,
Roland Herzog
(2017).
SIMP based topology optimization for injection molding of SFRPs
. in: Advances in Structural and Multidisciplinary Optimization, p.850-861.
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DOI
Jean Pierre Bergmann
,
Martin Bielenin
,
Roland A. Herzog
,
Jörg Hildebrand
,
Ilka Riedel
,
Klaus Schricker
,
Carsten Trunk
,
Karl Worthmann
(2017).
Prevention of solidification cracking during pulsed laser beam welding
. in: Proceedings in Applied Mathematics and Mechanics 17(1), p.405-406.
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DOI
Niels Goldberg
,
Felix Ospald
,
Matti Schneider
(2017).
A fiber orientation-adapted integration scheme for computing the hyperelastic Tucker average for short fiber reinforced composites
. Computational Mechanics 60(4), p.595-611.
Cite
DOI
Eduardo Casas
,
Daniel Wachsmuth
,
Gerd Wachsmuth
(2017).
Sufficient second-order conditions for bang-bang control problems
. SIAM Journal on Control and Optimization 55(5), p.3066-3090.
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DOI
Gerd Wachsmuth
(2017).
Strong stationarity for optimization problems with complementarity constraints in absence of polyhedricity
. Set-Valued and Variational Analysis 25(1), p.133-175.
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DOI
Christopher Schneider
,
Gerd Wachsmuth
(2017).
Regularization and discretization error estimates for optimal control of ODEs with group sparsity
. ESAIM: Control, Optimisation and Calculus of Variations.
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DOI
Roland Herzog
,
Felix Ospald
(2017).
Parameter identification for short fiber-reinforced plastics using optimal experimental design
. International Journal for Numerical Methods in Engineering 110(8), p.703-725.
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DOI
Roland Herzog
,
Ilka Riedel
(2017).
Optimale Sensorplatzierung und Online-Zustands- und Parameter-Identifikation
. in: Proceedings of the 5th Colloquium of SFB/Transregio 96.
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Juri Merger
,
Alfio Borzì
,
Roland Herzog
(2017).
Optimal control of a system of reaction-diffusion equations modeling the wine fermentation process
. Optimal Control Applications and Methods 38(1), p.112-132.
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DOI
Ulisse Stefanelli
,
Daniel Wachsmuth
,
Gerd Wachsmuth
(2017).
Optimal control of a rate-independent evolution equation via viscous regularization
. Discrete and Continuous Dynamical Systems - Series S 10(6), p.1467-1485.
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DOI
Georg Müller
,
Anton Schiela
(2017).
On the control of time discretized dynamic contact problems
. Computational Optimization and Applications 68(2), p.243-287.
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DOI
Arnd Rösch
,
Gerd Wachsmuth
(2017).
Mass lumping for the optimal control of elliptic partial differential equations
. SIAM Journal on Numerical Analysis 55(3), p.1412-1436.
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DOI
Roland Herzog
,
Christian Meyer
,
Ailyn Stötzner
(2017).
Existence of solutions of a thermoviscoplastic model and associated optimal control problems
. Nonlinear Analysis: Real World Applications 35, p.75-101.
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DOI
Gerd Wachsmuth
(2017).
Conforming approximation of convex functions with the finite element method
. Numerische Mathematik 137(3), p.741-772.
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DOI
Eduardo Casas
,
Roland Herzog
,
Gerd Wachsmuth
(2017).
Analysis of spatio-temporally sparse optimal control problems of semilinear parabolic equations
. ESAIM: Control, Optimisation and Calculus of Variations 23(1), p.263-295.
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DOI
Roland Herzog
,
Kirk Soodhalter
(2017).
A modified implementation of MINRES to monitor residual subvector norms for block systems
. SIAM Journal on Scientific Computing 39(6), p.A2645-A2663.
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DOI
Roland Herzog
,
Winnifried Wollner
(2017).
A conjugate direction method for linear systems in Banach spaces
. Journal of Inverse and Ill-Posed Problems 25(5), p.553-572.
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DOI
Patrick Mehlitz
,
Gerd Wachsmuth
(2016).
Weak and strong stationarity in generalized bilevel programming and bilevel optimal control
. Optimization 65(5), p.907-935.
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DOI
Gerd Wachsmuth
(2016).
Towards M-stationarity for optimal control of the obstacle problem with control constraints
. SIAM Journal on Control and Optimization 54(2), p.964-986.
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DOI
Patrick Mehlitz
,
Gerd Wachsmuth
(2016).
The limiting normal cone to pointwise defined sets in Lebesgue spaces
. Set-Valued and Variational Analysis, p.1-19.
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DOI
Janine Glänzel
,
Roland Herzog
,
Steffen Ihlenfeldt
,
Arnd Meyer
,
Roman Unger
(2016).
Simulation-based correction approach for thermo-elastic workpiece deformations during milling process
. in: Proceedings of the 7th HPC 2016 - CIRP Conference on High Performance Cutting 46, p.103-106.
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DOI
Roland Herzog
,
Susann Mach
(2016).
Preconditioned solution of state gradient constrained elliptic optimal control problems
. SIAM Journal on Numerical Analysis 54(2), p.688-718.
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DOI
Roland Herzog
,
Ilka Riedel
,
Bernd Kauschinger
,
Steffen Schroeder
(2016).
Parameteridentifikation in thermo-elastischen Systemen
. in: Proceedings of the 4th Colloquium of SFB/Transregio 96, p.55-82.
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Felix Ospald
,
Roland Herzog
(2016).
Optimal experimental design to identify the average stress-strain response in short fiber-reinforced plastics
. in: Proceedings in Applied Mathematics and Mechanics 16(1), p.673-674.
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DOI
Andreas Günnel
,
Roland Herzog
(2016).
Optimal control problems in finite strain elasticity by inner pressure and fiber tension
. Frontiers in Applied Mathematics and Statistics 2(4).
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DOI
Juan Carlos Reyes
,
Roland Herzog
,
Christian Meyer
(2016).
Optimal control of static elastoplasticity in primal formulation
. SIAM Journal on Control and Optimization 54(6), p.3016-3039.
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DOI
Gerd Wachsmuth
(2016).
Optimal control of quasistatic plasticity with linear kinematic hardening III: optimality conditions
. Zeitschrift für Analysis und ihre Anwendungen 35(1), p.81-118.
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DOI
Matthias Kabel
,
Andreas Fink
,
Felix Ospald
,
Matti Schneider
(2016).
Nonlinear composite voxels and FFT-based homogenization
. in: ECCOMAS.
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DOI
Daniel Wachsmuth
,
Gerd Wachsmuth
(2016).
How not to discretize the control
. Proceedings in Applied Mathematics and Mechanics 16(1), p.793-794.
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DOI
Matti Schneider
,
Felix Ospald
,
Matthias Kabel
(2016).
Computational homogenization of elasticity on a staggered grid
. International Journal for Numerical Methods in Engineering 105(9), p.693-720.
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DOI
Christian Naumann
,
Ilka Riedel
,
Steffen Ihlenfeldt
,
Ulrich Priber
(2016).
Characteristic diagram based correction algorithms for the thermo-elastic deformation of machine tools
. in: Procedia CIRP 41, p.801-805.
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DOI
René Schneider
,
Gerd Wachsmuth
(2016).
A-posteriori error estimation for control-constrained, linear-quadratic optimal control problems
. SIAM Journal on Numerical Analysis 54(2), p.1169-1192.
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DOI
Matti Schneider
,
Felix Ospald
,
Matthias Kabel
(2016).
A model order reduction method for computational homogenization at finite strains on regular grids using hyperelastic laminates to approximate interfaces
. Computer Methods in Applied Mechanics and Engineering 309, p.476-496.
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DOI
Sophia Frankeser
,
Sebastian Hiller
,
Gerd Wachsmuth
,
Josef Lutz
(2015).
Using the on-state-V$_{be,sat}$-voltage for temperature estimation of SiC-BJTs during normal operation
. in: , p.132-139.
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Roland Herzog
,
Ekkehard Sachs
(2015).
Superlinear convergence of Krylov subspace methods for self-adjoint problems in Hilbert space
. SIAM Journal on Numerical Analysis 53(3), p.1304-1324.
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DOI
Roland Herzog
,
Ilka Riedel
(2015).
Sequentially optimal sensor placement in thermoelastic models for real time applications
. Optimization and Engineering 16(4), p.737-766.
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DOI
Gerd Wachsmuth
(2015).
Optimal control of quasistatic plasticity with linear kinematic hardening II: regularization and differentiability
. Zeitschrift für Analysis und ihre Anwendungen 34(4), p.391-418.
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DOI
Gerd Wachsmuth
(2015).
Mathematical programs with complementarity constraints in Banach spaces
. Journal of Optimization Theory and Applications 166(2), p.480-507.
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DOI
Roland Herzog
,
Georg Stadler
,
Gerd Wachsmuth
(2015).
Erratum: directional sparsity in optimal control of partial differential equations
. SIAM Journal on Control and Optimization 53(4), p.2722-2723.
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DOI
Susann Hannusch
,
Michael Herzog
,
Jörn Ihlemann
,
Lothar Kroll
,
Arnd Meyer
,
Felix Ospald
,
Gudula Rünger
,
Rolf Springer
,
Martin Stockmann
,
Lars Ulke-Winter
(2015).
Efficient simulation, optimization, and validation of lightweight structures
. in: Proceedings of the 2nd International MERGE Technologies Conference for Lightweight Structures (IMTC 2015), p.219-227.
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DOI
Christian Naumann
,
Ilka Riedel
,
Ulrich Priber
,
Roland Herzog
(2015).
Correction algorithms and high-dimensional characteristic diagrams
. in: Thermo-Energetic Design of Machine Tools, Lecture Notes in Production Engineering, p.159-174.
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DOI
Matti Schneider
,
Felix Ospald
,
Matthias Kabel
(2015).
Computational homogenization of elasticity at large deformations on a staggered grid
. in: Conference Proceedings of the YIC GACM 2015, p.178-181.
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Roland Herzog
,
Johannes Obermeier
,
Gerd Wachsmuth
(2015).
Annular and sectorial sparsity in optimal control of elliptic equations
. Computational Optimization and Applications 62(1), p.157-180.
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DOI
René Schneider
,
Gerd Wachsmuth
(2015).
Achieving optimal convergence order for FEM in control constrained optimal control problems
. Proceedings in Applied Mathematics and Mechanics 15(1), p.731-734.
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DOI
Stefan Takacs
(2014).
Using cylindrical algebraic decomposition and local Fourier analysis to study numerical methods: two examples
. in: 16th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, p.42-49.
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DOI
Michael Hofmann
,
Felix Ospald
,
Hansjörg Schmidt
,
Rolf Springer
(2014).
Programming support for the flexible coupling of distributed software components for scientific simulations
. in: Software Engineering and Applications (ICSOFT-EA), 2014 9th International Conference on, p.506-511.
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DOI
Gerd Wachsmuth
(2014).
The numerical solution of Newton's problem of least resistance
. Mathematical Programming 147(1–2), p.331-350.
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DOI
Gerd Wachsmuth
(2014).
Strong stationarity for optimal control of the obstacle problem with control constraints
. SIAM Journal on Optimization 24(4), p.1914-1932.
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DOI
Roland Herzog
,
Oliver Rheinbach
(2014).
Scalability of a FETI-DP method for optimal control problems
. in: Proceedings in Applied Mathematics and Mechanics 14(1), p.837-838.
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DOI
Roland Herzog
,
Arnd Rösch
,
Stefan Ulbrich
,
Winnifried Wollner
(2014).
OPTPDE: a collection of problems in PDE-constrained optimization
. in: Trends in PDE Constrained Optimization, International Series of Numerical Mathematics, p.539-543.
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DOI
Andreas Günnel
,
Roland Herzog
(2014).
Optimal control of large deformation elasticity by fiber tension
. in: Proceedings in Applied Mathematics and Mechanics 14(1), p.879-880.
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DOI
Roland Herzog
,
Christian Meyer
,
Gerd Wachsmuth
(2014).
Optimal control of elastoplastic processes: analysis, algorithms, numerical analysis and applications
. in: Trends in PDE Constrained Optimization, International Series of Numerical Mathematics, p.27-41.
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DOI
Daniel Wachsmuth
,
Gerd Wachsmuth
(2014).
Optimal control of an oblique derivative problem
. Annals of the Academy of Romanian Scientists. Series on Mathematics and its Applications 6(1), p.50-73.
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URL
Felix Ospald
(2014).
Numerical simulation of injection molding using OpenFOAM
. in: Proceedings in Applied Mathematics and Mechanics 14(1), p.673-674.
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DOI
Roland Herzog
,
Oliver Rheinbach
(2014).
FETI-DP methods for optimal control problems
. in: Domain Decomposition Methods in Science and Engineering XXI, Lecture Notes in Computational Science and Engineering, p.337-344.
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DOI
Gerd Wachsmuth
(2014).
Differentiability of implicit functions: beyond the implicit function theorem
. Journal of Mathematical Analysis and Applications 414(1), p.259-272.
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DOI
Roland Herzog
,
Ilka Riedel
(2014).
Comparison of two suboptimal sensor placement strategies in thermo-elastic models
. in: Proceedings in Applied Mathematics and Mechanics 14(1), p.881-882.
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DOI
Andreas Günnel
,
Roland Herzog
,
Ekkehard Sachs
(2014).
A note on preconditioners and scalar products in Krylov subspace methods for self-adjoint problems in Hilbert space
. Electronic Transactions on Numerical Analysis 41, p.13-20.
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Gerd Wachsmuth
,
Michael Lätzer
,
Erhard Leidich
(2013).
Analytical computation of multiple interference fits under elasto-plastic deformations
. Zeitschrift für Angewandte Mathematik und Mechanik 94(12), p.1058-1064.
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DOI
Roland Herzog
,
Karl Kunisch
,
Jörn Sass
(2013).
Primal-dual methods for the computation of trading regions under proportional transaction costs
. Mathematical Methods of Operations Research 77(1), p.101-130.
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DOI
Gerd Wachsmuth
(2013).
On LICQ and the uniqueness of Lagrange multipliers
. Operations Research Letters 41(1), p.78-80.
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DOI
Daniel Wachsmuth
,
Gerd Wachsmuth
(2013).
Necessary conditions for convergence rates of regularizations of optimal control problems
. in: System Modeling and Optimization, IFIP Advances in Information and Communication Technology 391, p.145-154.
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DOI
Roland Herzog
,
Christian Meyer
,
Gerd Wachsmuth
(2013).
B- and strong stationarity for optimal control of static plasticity with hardening
. SIAM Journal on Optimization 23(1), p.321-352.
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DOI
Roland Herzog
,
Frank Schmidt
(2012).
Weak lower semi-continuity of the optimal value function and applications to worst-case robust optimal control problems
. Optimization 61, p.685-697.
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DOI
Eduardo Casas
,
Roland Herzog
,
Gerd Wachsmuth
(2012).
Optimality conditions and error analysis of semilinear elliptic control problems with $L^1$ cost functional
. SIAM Journal on Optimization 22(3), p.795-820.
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DOI
Roland Herzog
,
Christian Meyer
,
Gerd Wachsmuth
(2012).
Optimale Steuerung in der Elastoplastizität
. GAMM-Rundbrief(2), p.16-20.
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Gerd Wachsmuth
(2012).
Optimal control of quasistatic plasticity with linear kinematic hardening, Part I: existence and discretization in time
. SIAM Journal on Control and Optimization 50(5), p.2836-2861.
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DOI
Martin Bernauer
,
Roland Herzog
(2012).
Implementation of an X-FEM solver for the classical two-phase Stefan problem
. Journal of Scientific Computing 52(2), p.271-293.
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DOI
Roland Herzog
,
Georg Stadler
,
Gerd Wachsmuth
(2012).
Directional sparsity in optimal control of partial differential equations
. SIAM Journal on Control and Optimization 50(2), p.943-963.
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DOI
Roland Herzog
,
Christian Meyer
,
Gerd Wachsmuth
(2012).
C-stationarity for optimal control of static plasticity with linear kinematic hardening
. SIAM Journal on Control and Optimization 50(5), p.3052-3082.
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DOI
Eduardo Casas
,
Roland Herzog
,
Gerd Wachsmuth
(2012).
Approximation of sparse controls in semilinear equations by piecewise linear functions
. Numerische Mathematik 122(4), p.645-669.
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DOI
Eduardo Casas
,
Roland Herzog
,
Gerd Wachsmuth
(2012).
Approximation of sparse controls in semilinear elliptic equations
. in: Large-Scale Scientific Computing 7116, p.16-27.
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DOI
Daniel Wachsmuth
,
Gerd Wachsmuth
(2011).
Regularization error estimates and discrepancy principle for optimal control problems with inequality constraints
. Control and Cybernetics 40(4), p.1125-1158.
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Martin Bernauer
,
Roland Herzog
(2011).
Optimal control of the classical two-phase Stefan problem in level set formulation
. SIAM Journal on Scientific Computing 33(1), p.342-363.
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DOI
Roland Herzog
,
Christian Meyer
(2011).
Optimal control of static plasticity with linear kinematic hardening
. Journal of Applied Mathematics and Mechanics 91(10), p.777-794.
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DOI
Roland Herzog
,
Christian Meyer
,
Gerd Wachsmuth
(2011).
Integrability of displacement and stresses in linear and nonlinear elasticity with mixed boundary conditions
. Journal of Mathematical Analysis and Applications 382(2), p.802-813.
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DOI
Roland Herzog
,
Christian Meyer
,
Gerd Wachsmuth
(2011).
Existence and regularity of the plastic multiplier in static and quasistatic plasticity
. GAMM Reports 34(1), p.39-44.
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DOI
Gerd Wachsmuth
,
Daniel Wachsmuth
(2011).
Convergence and regularization results for optimal control problems with sparsity functional
. ESAIM: Control, Optimisation and Calculus of Variations 17(3), p.858-886.
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DOI
Roland Herzog
,
Ekkehard Sachs
(2010).
Preconditioned conjugate gradient method for optimal control problems with control and state constraints
. SIAM Journal on Matrix Analysis and Applications 31(5), p.2291-2317.
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DOI
Martin Bernauer
,
Roland Herzog
,
Karl Kunisch
(2010).
Optimal control of the two-phase Stefan problem in level set formulation
. in: Oberwolfach Reports, p.261.
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DOI
Roland Griesse
,
Nataliya Metla
,
Arnd Rösch
(2010).
Local quadratic convergence of SQP for elliptic optimal control problems with mixed control-state constraints
. Control and Cybernetics 39(3), p.717-738.
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Walter Alt
,
Roland Griesse
,
Nataliya Metla
,
Arnd Rösch
(2010).
Lipschitz stability for elliptic optimal control problems with mixed control-state constraints
. Optimization 59(6), p.833-849.
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DOI
Roland Herzog
,
Karl Kunisch
(2010).
Algorithms for PDE-constrained optimization
. GAMM Reports 33(2), p.163-176.
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DOI
Roland Griesse
,
Daniel Wachsmuth
(2009).
Sensitivity analysis and the adjoint update strategy for optimal control problems with mixed control-state constraints
. Computational Optimization and Applications 44(1), p.57-81.
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DOI
Roland Griesse
,
Amnon J. Meir
(2009).
Modeling of a magnetohydrodynamics free surface problem arising in Czochralski crystal growth
. Mathematical and Computer Modelling of Dynamical Systems 15(2), p.163-175.
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DOI
Roland Griesse
,
Karl Kunisch
(2009).
A semismooth Newton method for solving elliptic equations with gradient constraints
. ESAIM M2AN. Mathematical Modelling and Numerical Analysis 43(2), p.209-238.
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DOI
Martin K. Bernauer
,
Roland Griesse
(2009).
A robustification approach in unconstrained quadratic optimization
. Mathematical Programming Series A 128(1–2), p.231-252.
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DOI
Roland Griesse
,
Thomas Grund
,
Daniel Wachsmuth
(2008).
Update strategies for perturbed nonsmooth equations
. Optimization Methods and Software 23(3), p.321-343.
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DOI
Juan Carlos Reyes
,
Roland Griesse
(2008).
State-constrained optimal control of the three-dimensional stationary Navier-Stokes equations
. Journal of Mathematical Analysis and Applications 343(1), p.257-272.
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DOI
Roland Griesse
,
Martin Weiser
(2008).
On the interplay between interior point approximation and parametric sensitivities in optimal control
. Journal of Mathematical Analysis and Applications 337(2), p.771-793.
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DOI
Roland Griesse
,
Nataliya Metla
,
Arnd Rösch
(2008).
Convergence analysis of the SQP method for nonlinear mixed-constrained elliptic optimal control problems
. Journal of Applied Mathematics and Mechanics 88(10), p.776-792.
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DOI
Roland Griesse
,
Dirk Lorenz
(2008).
A semismooth Newton method for Tikhonov functionals with sparsity constraints
. Inverse Problems 24(3), p.035007 (19pp).
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DOI
Roland Griesse
,
Karl Kunisch
(2008).
A semismooth Newton method for solving elliptic equations with gradient constraints
. in: Oberwolfach Reports, p.603-605.
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DOI
Kerstin Brandes
,
Roland Griesse
(2007).
Quantitative stability analysis of optimal solutions in PDE-constrained optimization
. Journal of Computational and Applied Mathematics 206(2), p.908-926.
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DOI
Roland Griesse
,
Boris Vexler
(2007).
Numerical sensitivity analysis for the quantity of interest in PDE-constrained optimization
. SIAM Journal on Scientific Computing 29(1), p.22-48.
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DOI
Roland Griesse
,
Amnon J. Meir
,
Karl Kunisch
(2007).
Control issues in magnetohydrodynamics
. in: Oberwolfach Reports, p.447-486.
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DOI
Christof Büskens
,
Roland Griesse
(2006).
Parametric sensitivity analysis of perturbed PDE optimal control problems with state and control constraints
. Journal of Optimization Theory and Applications 131(1), p.17-35.
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DOI
Roland Griesse
,
Stefan Volkwein
(2006).
Parametric sensitivity analysis for optimal boundary control of a 3D reaction-diffusion system
. in: Large-Scale Nonlinear Optimization 83, p.127-149.
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Roland Griesse
,
Karl Kunisch
(2006).
Optimal control for a stationary MHD system in velocity--current formulation
. SIAM Journal on Control and Optimization 45(5), p.1822-1845.
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DOI
Roland Griesse
,
Amnon J. Meir
(2006).
Modeling of an MHD free surface problem arising in CZ crystal growth
. in: 5th IMACS Symposium on Mathematical Modelling—5th MATHMOD Vienna.
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Roland Griesse
(2006).
Lipschitz stability of solutions to some state-constrained elliptic optimal control problems
. Journal of Analysis and its Applications 25, p.435-455.
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DOI
Alfio Borzì
,
Roland Griesse
(2006).
Distributed optimal control of Lambda--Omega systems
. Journal of Numerical Mathematics 14(1), p.17-40.
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DOI
Roland Griesse
,
Andrea Walther
(2005).
Towards matrix-free AD-based preconditioning of KKT systems in PDE-constrained optimization
. Proceedings in Applied Mathematics and Mechanics 5(1), p.47-50.
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Roland Griesse
,
Karl Kunisch
(2005).
Optimal control in magnetohydrodynamics
. in: Oberwolfach Reports, p.1011-1014.
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DOI
Alfio Borzì
,
Roland Griesse
(2005).
Experiences with a space-time multigrid method for the optimal control of a chemical turbulence model
. International Journal for Numerical Methods in Fluids 47(8–9), p.879-885.
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DOI
Roland Griesse
,
Michael Hintermüller
,
Michael Hinze
(2005).
Differential stability of control constrained optimal control problems for the Navier-Stokes equations
. Numerical Functional Analysis and Optimization 26(7–8), p.829-850.
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DOI
Roland Griesse
,
Stefan Volkwein
(2005).
A primal-dual active set strategy for optimal boundary control of a nonlinear reaction-diffusion system
. SIAM Journal on Control and Optimization 44(2), p.467-494.
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DOI
Roland Griesse
,
Andrea Walther
(2004).
Using AD-generated derivatives in optimal control of an industrial robot
. in: Progress in Industrial Mathematics at ECMI 2002 5, p.127-132.
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Roland Griesse
(2004).
Parametric sensitivity analysis in optimal control of a reaction-diffusion system---Part II: practical methods and examples
. Optimization Methods and Software 19(2), p.217-242.
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DOI
Roland Griesse
(2004).
Parametric sensitivity analysis in optimal control of a reaction-diffusion system---Part I: solution differentiability
. Numerical Functional Analysis and Optimization 25(1–2), p.93-117.
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DOI
Roland Griesse
,
Andrea Walther
(2004).
Evaluating gradients in optimal control: continuous adjoints versus automatic differentiation
. Journal of Optimization Theory and Applications 122(1), p.63-86.
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DOI
Roland Griesse
,
Stefan Volkwein
(2004).
A semi-smooth Newton method for optimal boundary control of a nonlinear reaction-diffusion system
. in: Proceedings of the Sixteenth International Symposium on Mathematical Theory of Networks and Systems (MTNS), Leuven, Belgium.
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Roland Griesse
,
Andrea Walther
(2003).
Parametric sensitivity analysis for optimal control problems using automatic differentiation
. Optimal Control Applications and Methods 24(6), p.297-314.
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DOI
Roland Griesse
(2003).
A reduced SQP algorithm for the optimal control of semilinear parabolic equations
. in: System Modeling and Optimization~XX, p.239-253.
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Roland Griesse
(2001).
Some aspects for instantaneous boundary control of backward-facing step flow
. Short Communications in Mathematics and Mechanics 81(Supplement 2), p.S251-S252.
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