Publications of the research group
Submitted Publications and Preprints
- L. Baumgärtner, R. Bergmann, M. Herrmann, R. Herzog, S. Schmidt and J. Vidal-Núñez
Mesh denoising and inpainting using the total variation of the normal
arXiv:2012.11748
December 2020
- O. Frotscher, M. Richter and R. Herzog
Planning of measurement series for thermodynamic properties based on optimal experimental design
arXiv:2012.12098
December 2020
- R. Herzog and E. Loayza-Romero
A manifold of planar triangular meshes with complete Riemannian metric
arXiv:2012.05624
December 2020
- R. Altmann and R. Herzog
Continuous Galerkin schemes for semi-explicit differential-algebraic equations
arXiv:2011.09336
November 2020
- R. Herzog, J. Pietschmann and M. Winkler
Optimal Control of Hughes' Model for Pedestrian Flow via Local Attraction
arXiv:2011.03580
November 2020
- F. Ospald, K. Bergermann and R. Herzog
An extension of the strain transfer principle for fiber reinforced materials
arXiv:2010.05857
October 2020
- K. Bergermann, M. Stoll and T. Volkmer
Semi-supervised learning for multilayer graphs using diffuse interface methods and fast matrix vector products
arXiv:2007.05239
July 2020
- R. Herzog and E. Legler
First-Order Methods for Optimal Experimental Design Problems with Bound Constraints
arXiv:2004.08084
April 2020
- R. Herzog
Dimensionally Consistent Preconditioning for Saddle-Point Problems
arXiv:2003.09478
March 2020
- M.S. Edalatzadeh, D. Kalise, K.A. Morris and K. Sturm
Shape Optimization of Actuators over Banach Spaces for Nonlinear Systems
arXiv:2002.07172
February 2020
- C. Geiersbach, E. Loayza-Romero and K. Welker
Stochastic approximation for optimization in shape spaces
arXiv:2001.10786
January 2020
- F. Ospald and R. Herzog
Short note on a relation between the inverse of the cosine and Carlson's elliptic integral R_D
arXiv:2001.02203
January 2020
- M. Stoll and M. Winkler
Optimization of a partial differential equation on a complex network
arXiv:1907.07806
July 2019
- C. Geiersbach, E. Loayza and K. Welker
Computational Aspects for Interface Identification Problems with Stochastic Modelling
arXiv:1902.01160
February 2019
Publications in Journals
- R. Bergmann, R. Herzog, M. Louzeiro, D. Tenbrinck and J. Vidal-Núñez
Fenchel Duality Theory and a Primal-Dual Algorithm on Riemannian Manifolds
arXiv:1908.02022
to appear in: Foundations of Computational Mathematics
November 2020
- J. Blechschmidt, R. Herzog and M. Winkler
Error estimation for second-order PDEs in non-variational form
arXiv:1909.12676
Numerical Methods for Partial Differential Equations, 2020
DOI: 10.1002/num.22678
- M.D. Fajardo-Gomez, S.M. Grad and J. Vidal-Núñez
New duality results for evenly convex optimization problems
arXiv:1904.10478
Optimization, 2020
DOI: 10.1080/02331934.2020.1756287
- T. Etling, R. Herzog, E. Loayza and G. Wachsmuth
First and Second Order Shape Optimization based on Restricted Mesh Deformations
arXiv:1810.10313
SIAM Journal on Scientific Computing (SISC), 42, p.A1200-A1225, 2019
DOI: 10.1137/19M1241465
- J. Görthofer, M. Schneider, F. Ospald, A. Hrymak and T. Böhlke
Computational homogenization of sheet molding compound composites based on high fidelity representative volume elements
Computational Materials Science (CMS), 174, p.109456, 2020
DOI: 10.1016/j.commatsci.2019.109456
- M. Winkler
Error estimates for the finite element approximation of bilinear boundary control problems
arXiv:1901.03612
Computational Optimization and Applications (COAP), 76(1), p.155-199, 2020
DOI: 10.1007/s10589-020-00171-5
- R. Bergmann, M. Herrmann, R. Herzog, S. Schmidt and J. Vidal-Núñez
Discrete Total Variation of the Normal Vector Field as Shape Prior with Applications in Geometric Inverse Problems
arXiv:1908.07916
Inverse Problems (IP), 36(5), p.054004, 2020
DOI: 10.1088/1361-6420/ab6d5c
- R. Bergmann, M. Herrmann, R. Herzog, S. Schmidt and J. Vidal-Núñez
Total Variation of the Normal Vector Field as Shape Prior
arXiv:1902.07240
Inverse Problems (IP), 36(5), p.054003, 2020
DOI: 10.1088/1361-6420/ab6d5b
- J. Hart, B. van Bloemen Waanders and R. Herzog
Hyper-Differential Sensitivity Analysis of Uncertain Parameters in PDE-Constrained Optimization
arXiv:1909.07336
International Journal for Uncertainty Quantification (IJUQ), 10(3), p.225-248, 2020
DOI: 10.1615/int.j.uncertaintyquantification.2020032480
- O. Ferreira, M. Louzeiro and L. Prudente
Iteration-complexity and asymptotic analysis of steepest descent method for multiobjective optimization on Riemannian manifolds
arXiv:1906.05975
Journal of Optimization Theory and Applications (JOTA), 184(2), p.507-533, 2019
DOI: 10.1007/s10957-019-01615-7
- M. Winkler
Error estimates for variational normal derivatives and Dirichlet control problems with energy regularization
arXiv:1808.01171
Numerische Mathematik, 144, p.413–445, 2020
DOI: 10.1007/s00211-019-01091-1
- O. Ferreira, M. Louzeiro and L. Prudente
Gradient method for optimization on Riemannian manifolds with lower bounded curvature
SIAM Journal on Optimization (SIOPT), 29(4), p.2517-2541, 2019
DOI: 10.1137/18M1180633
- G. Bento, S. Bitar, J. da Cruz Neto, A. Soubeyran and J. Souza
A proximal point method for difference of convex functions in multi-objective optimization with application to group dynamic problems
Computational Optimization and Applications (COAP), 75(1), p.263-290, 2019
DOI: 10.1007/s10589-019-00139-0
- G. Bento, S. Bitar, J. da Cruz Neto, P. Oliveira and J. Souza
Computing Riemannian Center of Mass on Hadamard Manifolds
Journal of Optimization Theory and Applications (JOTA), 183(3), p.977-992, 2019
DOI: 10.1007/s10957-019-01580-1
- E. Batista, G. Bento and O. Ferreira
An extragradient-type algorithm for variational inequality on Hadamard manifolds
arXiv:1804.09292
ESAIM: Control, Optimisation and Calculus of Variations (COCV), 26, 2020
DOI: 10.1051/cocv/2019040
- J. Pfefferer and M. Winkler
Finite element error estimates for normal derivatives on boundary concentrated meshes
arXiv:1804.05723
SIAM Journal on Numerical Analysis (SINUM), 57(5), p.2043-2073, 2019
DOI: 10.1137/18M1181341
- T. Etling, R. Herzog and M. Siebenborn
Optimum Experimental Design for Interface Identification Problems
arXiv:1808.05776
SIAM Journal on Scientific Computing (SISC), 41(6), p.A3498-A3523, 2019
DOI: 10.1137/18M1208125
- R. Bergmann and R. Herzog
Intrinsic formulation of KKT conditions and constraint qualifications on smooth manifolds
arXiv:1804.06214
SIAM Journal on Optimization (SIOPT), 29(4), p.2423-2444, 2019
DOI: 10.1137/18M1181602
- J.C. De los Reyes and E. Loayza
Total Generalized Variation Regularization in Variational Data Assimilation for Burgers' Equation
arXiv:1804.04447
Inverse Problems & Imaging (IPI), 13(4), p.755-786, 2019
DOI: 10.3934/ipi.2019035
- Ospald, Felix
fibergen: An introductory tool for FFT-based material homogenization
Journal of Open Source Software (JOSS), 4(34), p.1027, 2019
DOI: 10.21105/joss.01027
- C. Christof and G. Wachsmuth
Differential Sensitivity Analysis of Variational Inequalities with Locally Lipschitz Continuous Solution Operators
arXiv:1711.02720
Applied Mathematics & Optimization (AMO), 81(1), p.23-62, 2019
DOI: 10.1007/s00245-018-09553-y
Preprint SPP1962-039 - R. Bergmann and P.-Y. Gousenbourger
A variational model for data fitting on manifolds by minimizing the acceleration of a Bézier curve
arXiv:1807.10090
Frontiers in Applied Mathematics and Statistics, 4, 2018
DOI: 10.3389/fams.2018.00059
- E. Casas, D. Wachsmuth and G. Wachsmuth
Second-Order Analysis and Numerical Approximation for Bang-Bang Bilinear Control Problems
arXiv:1707.06880
SIAM Journal on Control and Optimization (SICON), 56(6), p.4203-4227, 2018
DOI: 10.1137/17m1139953
- F. Harder and G. Wachsmuth
Optimality conditions for a class of inverse optimal control problems with partial differential equations
Optimization, 68(2-3), p.615-643, 2018
DOI: 10.1080/02331934.2018.1495205
Preprint SPP1962-048 - F. Harder
Legendre forms in reflexive Banach spaces
Zeitschrift für Analysis und ihre Anwendungen (ZAA), 37(4), p.377-388, 2018
DOI: 10.4171/zaa/1619
Preprint SPP1962-030 - F. Harder and G. Wachsmuth
The limiting normal cone of a complementarity set in Sobolev spaces
Optimization, 67(5), p.1579-1603, 2018
DOI: 10.1080/02331934.2018.1484467
Preprint SPP1962-023 - M. Herrmann, R. Herzog, S. Schmidt, J. Vidal-Núñez and G. Wachsmuth
Discrete Total Variation with Finite Elements and Applications to Imaging
arXiv:1804.07477
Journal of Mathematical Imaging and Vision (JMIV), 61(4), p.411-431, 2019
DOI: 10.1007/s10851-018-0852-7
- Th. Apel, J. Pfefferer, S. Rogovs and M. Winkler
Maximum norm error estimates for Neumann boundary value problems on graded meshes
arXiv:1804.10904
IMA Journal of Numerical Analysis (IMA J. Numer. Anal.), 40(1), p.474–497, 2020
DOI: 10.1093/imanum/dry076
- R. Herzog, J.W. Pearson and M. Stoll
Fast iterative solvers for an optimal transport problem
arXiv:1801.04172
Advances in Computational Mathematics (ACOM), 45(2), p.495-517, 2019
DOI: 10.1007/s10444-018-9625-5
- R. Herzog, I. Riedel and D. Uciński
Optimal Sensor Placement for Joint Parameter and State Estimation Problems in Large-Scale Dynamical Systems with Applications to Thermo-Mechanics
Optimization and Engineering (OPTE), 19(3), p.591-626, 2018
DOI: 10.1007/s11081-018-9391-8
- Kimmerle, Sven-Joachim, Gerdts, Matthias and Herzog, Roland
An Optimal Control Problem for a Rotating Elastic Crane-Trolley-Load System
IFAC Papers Online (IFAC), 51(2), p.272-277, 2018
DOI: 10.1016/j.ifacol.2018.03.047
- R. Herzog and A. Stötzner
Hadamard Differentiability of the Solution Map in Thermoviscoplasticity
Pure and Applied Functional Analysis (PAFA), 4(2), p.271-295, 2019
Preprint SPP1962-044 - J. Köbler, M. Schneider, F. Ospald, H. Andrä and R. Müller
Fiber orientation interpolation for the multiscale analysis of short fiber reinforced composite parts
Computational Mechanics (CM), 61(6), p.729-750, 2018
DOI: 10.1007/s00466-017-1478-0
- C. Christof and G. Wachsmuth
No-Gap Second-Order Conditions via a Directional Curvature Functional
arXiv:1707.07579
SIAM Journal on Optimization (SIOPT), 28(3), p.2097-2130, 2018
DOI: 10.1137/17M1140418
Preprint SPP1962-026 - P. Benner, R. Herzog, N. Lang, I. Riedel and J. Saak
Comparison of Model Order Reduction Methods for Optimal Sensor Placement for Thermo-Elastic Models
Engineering Optimization, 51(3), p.465-483, 2018
DOI: 10.1080/0305215X.2018.1469133
- C. Christof and G. Wachsmuth
On the Non-Polyhedricity of Sets with Upper and Lower Bounds in Dual Spaces
arXiv:1711.02588
GAMM-Mitteilungen, 40(4), p.339-350, 2018
DOI: 10.1002/gamm.201740005
Preprint SPP1962-031 - F. Harder and G. Wachsmuth
Comparison of optimality systems for the optimal control of the obstacle problem
GAMM-Mitteilungen, 40(4), p.312-338, 2018
DOI: 10.1002/gamm.201740004
Preprint SPP1962-029 - T. Etling and R. Herzog
Optimum Experimental Design by Shape Optimization of Specimens in Linear Elasticity
SIAM Journal on Applied Mathematics, 78(3), p.1553-1576, 2018
DOI: 10.1137/17M1147743
- G. Wachsmuth
A guided tour of polyhedric sets
Journal of Convex Analysis, 26(1), p.153--188, 2019
- Goldberg, Niels, Ospald, Felix and Schneider, Matti
A fiber orientation-adapted integration scheme for computing the hyperelastic Tucker average for short fiber reinforced composites
Computational Mechanics (CM), 60(4), p.595-611, 2017
DOI: 10.1007/s00466-017-1425-0
- B. González Merino, T. Jahn, A. Polyanskii and G. Wachsmuth
Hunting for reduced polytopes
arXiv:1701.08629
Discrete & Computational Geometry , 60(3), p.801-808, 2018
DOI: 10.1007/s00454-018-9982-3
Code: Hunting for reduced polytopes: Evaluating your catches (DOI: 10.5281/zenodo.58491)
- M. Herrmann, R. Herzog, H. Kröner, S. Schmidt and J. Vidal Núñez
Analysis and an Interior Point Approach for TV Image Reconstruction Problems on Smooth Surfaces
SIAM Journal on Imaging Sciences, 11(2), p.889-922, 2018
DOI: 10.1137/17M1128022
- P. Mehlitz and G. Wachsmuth
The weak sequential closure of decomposable sets in Lebesgue spaces and its application to variational geometry
Set-Valued and Variational Analysis (SVAA), 27(1), p.265-294, 2017
DOI: 10.1007/s11228-017-0464-1
Preprint SPP1962-016 - S.-J. Kimmerle, M. Gerdts and R. Herzog
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, 2018
DOI: 10.1080/13873954.2017.1405046
- E. Casas, D. Wachsmuth and G. Wachsmuth
Sufficient Second-Order Conditions for Bang-Bang Control Problems
SIAM Journal on Control and Optimization (SICON), 55(5), p.3066-3090, 2017
DOI: 10.1137/16M1099674
- R. Herzog and K. Soodhalter
A modified implementation of MINRES to monitor residual subvector norms for block systems
SIAM Journal on Scientific Computing, 39(6), p.A2645-A2663, 2017
DOI: 10.1137/16M1093021
arXiv:1603.04475
Matlab code: SUBMINRES. A modified implementation of MINRES to monitor residual subvector norms for block systems - C. Schneider and G. Wachsmuth
Regularization and discretization error estimates for optimal control of ODEs with group sparsity
ESAIM: Control, Optimisation and Calculus of Variations (COCV), 24(2), p.811--834, 2018
DOI: 10.1051/cocv/2017049
- G. Wachsmuth
Conforming Approximation of Convex Functions with the Finite Element Method
Numerische Mathematik, 137(3), p.741-772, 2017
DOI: 10.1007/s00211-017-0884-8
- A. Rösch and G. Wachsmuth
Mass lumping for the optimal control of elliptic partial differential equations
SIAM Journal on Numerical Analysis (SINUM), 55(3), p.1412-1436, 2017
DOI: 10.1137/16M1074473
- U. Stefanelli, D. Wachsmuth and G. Wachsmuth
Optimal control of a rate-independent evolution equation via viscous regularization
Discrete and Continuous Dynamical Systems - Series S (DCDS-S), 10(6), p.1467-1485, 2017
DOI: 10.3934/dcdss.2017076
Preprint SPP1962-001 - P. Mehlitz and G. Wachsmuth
The limiting normal cone to pointwise defined sets in Lebesgue spaces
Set-Valued and Variational Analysis (SVAA), 26(3), p.449-467, 2018
DOI: 10.1007/s11228-016-0393-4
Preprint SPP1962-004 - R. Herzog and W. Wollner
A Conjugate Direction Method for Linear Systems in Banach Spaces
Journal of Inverse and Ill-Posed Problems, 25(5), p.553-572, 2017
DOI: 10.1515/jiip-2016-0027
- R. Herzog, C. Meyer and A. Stötzner
Existence of Solutions of a Thermoviscoplastic Model and Associated Optimal Control Problems
Nonlinear Analysis: Real World Applications, 35, p.75-101, 2017
- Herzog, Roland and Ospald, Felix
Parameter Identification for Short Fiber-Reinforced Plastics using Optimal Experimental Design
International Journal for Numerical Methods in Engineering (NME), 110(8), p.703-725, 2017
DOI: 10.1002/nme.5371
- G. Wachsmuth
Pointwise Constraints in Vector-Valued Sobolev Spaces. With Applications in Optimal Control
Applied Mathematics & Optimization (AMO), 77(3), p.463-497, 2016
DOI: 10.1007/s00245-016-9381-1
- J.C. de los Reyes, R. Herzog and C. Meyer
Optimal Control of Static Elastoplasticity in Primal Formulation
Preprint SPP1253-151, 2013
SIAM Journal on Control and Optimization, 54(6), p.3016-3039, 2016
DOI: 10.1137/130920861
- Schneider, Matti, Ospald, Felix and Kabel, Matthias
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 (CMAME), 309, p.476-496, 2016
DOI: 10.1016/j.cma.2016.06.021
- G. Wachsmuth
Strong stationarity for optimization problems with complementarity constraints in absence of polyhedricity
Set-Valued and Variational Analysis (SVAA), 25(1), p.133-175, 2017
DOI: 10.1007/s11228-016-0370-y
- J. Merger, A. Borzi and R. Herzog
Optimal Control of a System of Reaction-Diffusion Equations Modeling the Wine Fermentation Process
Optimal Control Applications and Methods, 38(1), p.112-132, 2017
DOI: 10.1002/oca.2246
- G. Wachsmuth
Towards M-stationarity for optimal control of the obstacle problem with control constraints
SIAM Journal on Control and Optimization (SICON), 54(2), p.964-986, 2016
DOI: 10.1137/140980582
- R. Schneider and G. Wachsmuth
A-posteriori error estimation for control-constrained, linear-quadratic optimal control problems
SIAM Journal on Numerical Analysis (SINUM), 54(2), p.1169-1192, 2016
DOI: 10.1137/15M1020460
- R. Herzog and S. Mach
Preconditioned Solution of State Gradient Constrained Elliptic Optimal Control Problems
SIAM Journal on Numerical Analysis (SINUM), 54(2), p.688-718, 2016
DOI: 10.1137/130948045
- A. Günnel and R. Herzog
Optimal Control Problems in Finite-Strain Elasticity by Inner Pressure and Fiber Tension
Frontiers in Applied Mathematics and Statistics, 2(4), 2016
DOI: 10.3389/fams.2016.00004
- Schneider, Matti, Ospald, Felix and Kabel, Matthias
Computational homogenization of elasticity on a staggered grid
International Journal for Numerical Methods in Engineering (NME), 105(9), p.693-720, 2016
DOI: 10.1002/nme.5008
- P. Mehlitz and G. Wachsmuth
Weak and strong stationarity in generalized bilevel programming and bilevel optimal control
Optimization, 65(5), p.907-935, 2016
DOI: 10.1080/02331934.2015.1122007
- E. Casas, R. Herzog and G. Wachsmuth
Analysis of Spatio-Temporally Sparse Optimal Control Problems of Semilinear Parabolic Equations
ESAIM: Control, Optimisation and Calculus of Variations (COCV), 23(1), p.263-295, 2017
DOI: 10.1051/cocv/2015048
- G. Wachsmuth
Optimal Control of Quasistatic Plasticity with Linear Kinematic Hardening II: Regularization and Differentiability
Zeitschrift für Analysis und ihre Anwendungen (ZAA), 34(4), p.391-418, 2015
DOI: 10.4171/ZAA/1546
- G. Wachsmuth
Optimal Control of Quasistatic Plasticity with Linear Kinematic Hardening III: Optimality Conditions
Zeitschrift für Analysis und ihre Anwendungen (ZAA), 35(1), p.81-118, 2016
DOI: 10.4171/ZAA/1556
- R. Herzog and E. Sachs
Superlinear Convergence of Krylov Subspace Methods for Self-Adjoint Problems in Hilbert Space
SIAM Journal on Numerical Analysis (SINUM), 53(3), p.1304-1324, 2015
DOI: 10.1137/140973050
- G. Wachsmuth
Mathematical programs with complementarity constraints in Banach spaces
Journal of Optimization Theory and Applications (JOTA), 166(2), p.480-507, 2015
DOI: 10.1007/s10957-014-0695-3
- R. Herzog, J. Obermeier and G. Wachsmuth
Annular and Sectorial Sparsity in Optimal Control of Elliptic Equations
Computational Optimization and Applications (COAP), 62(1), p.157-180, 2015
DOI: 10.1007/s10589-014-9721-5
- R. Herzog and I. Riedel
Sequentially optimal sensor placement in thermoelastic models for real time applications
Optimization and Engineering, 16(4), p.737-766, 2015
DOI: 10.1007/s11081-015-9275-0
- G. Wachsmuth
Strong stationarity for optimal control of the obstacle problem with control constraints
SIAM Journal on Optimization (SIOPT), 24(4), p.1914-1932, 2014
DOI: 10.1137/130925827
- D. Wachsmuth and G. Wachsmuth
Optimal Control of an Oblique Derivative Problem
Mathematics and its Applications / Annals of AOSR, 6(1), 50-73, 2014
- G. Wachsmuth
Differentiability of Implicit Functions: Beyond the Implicit Function Theorem
Journal of Mathematical Analysis and Applications (JMAA), 414(1), p.259-272, 2014
DOI: 10.1016/j.jmaa.2014.01.007
- A. Günnel, R. Herzog and E. Sachs
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, 2014
- G. Wachsmuth
The Numerical Solution of Newton's Problem of Least Resistance
Mathematical Programming, 147(1-2), p. 331-350, 2014
DOI: 10.1007/s10107-014-0756-2
- G. Wachsmuth, M. Lätzer and E. Leidich
Analytical Computation of Multiple Interference Fits under Elasto-Plastic Deformations
Journal of Applied Mathematics and Mechanics (ZAMM), 94, p.1058-1064, 2014
DOI: 10.1002/zamm.201300041
- G. Wachsmuth
On LICQ and the uniqueness of Lagrange multipliers
Operations Research Letters (ORL), 41(1), p.78-80, 2013
DOI: 10.1016/j.orl.2012.11.009
- R. Herzog, C. Meyer and G. Wachsmuth
B- and Strong Stationarity for Optimal Control of Static Plasticity with Hardening
Preprint SPP1253-114, 2011
SIAM Journal on Optimization (SIOPT), 23(1), p.321-352, 2013
DOI: 10.1137/110821147
- R. Herzog, K. Kunisch and J. Sass
Primal-Dual Methods for the Computation of Trading Regions under Proportional Transaction Costs
Mathematical Methods of Operations Research (MMOR), 77(1), p.101-130, 2013
DOI: 10.1007/s00186-012-0416-3
- R. Herzog, C. Meyer and G. Wachsmuth
C-Stationarity for Optimal Control of Static Plasticity with Linear Kinematic Hardening
SIAM Journal on Control and Optimization (SICON), 50(5), p.3052-3082, 2012
DOI: 10.1137/100809325
- G. Wachsmuth
Optimal Control of Quasistatic Plasticity with Linear Kinematic Hardening, Part I: Existence and Discretization in Time (extended version)
SIAM Journal on Control and Optimization (SICON), 50(5), p.2836-2861, 2012
DOI: 10.1137/110839187
- E. Casas, R. Herzog and G. Wachsmuth
Approximation of Sparse Controls in Semilinear Equations by Piecewise Linear Functions
Numerische Mathematik, 122(4), p.645-669, 2012
DOI: 10.1007/s00211-012-0475-7
- E. Casas, R. Herzog and G. Wachsmuth
Optimality Conditions and Error Analysis of Semilinear Elliptic Control Problems with L1 Cost Functional
SIAM Journal on Optimization (SIOPT), 22(3), p.795-820, 2012
DOI: 10.1137/110834366
- D. Wachsmuth and G. Wachsmuth
Regularization error estimates and discrepancy principle for optimal control problems with inequality constraints
Control and Cybernetics, 40(4), p.1125-1158, 2011
- R. Herzog, G. Stadler and G. Wachsmuth
Directional Sparsity in Optimal Control of Partial Differential Equations
SIAM Journal on Control and Optimization (SICON), 50(2), p.943-963, 2012
DOI: 10.1137/100815037
Erratum: Directional Sparsity in Optimal Control of Partial Differential Equations
DOI: 10.1137/15M102544X
- M. Bernauer and R. Herzog
Implementation of an X-FEM Solver for the Classical Two-Phase Stefan Problem
Journal of Scientific Computing, 52(2), p.271-293, 2012
DOI: 10.1007/s10915-011-9543-x
- R. Herzog and F. Schmidt
Weak Lower Semi-continuity of the Optimal Value Function and Applications to Worst-Case Robust Optimal Control Problems
Optimization, 61(6), p.685-697, 2012
DOI: 10.1080/02331934.2011.603322
- R. Herzog, C. Meyer and G. Wachsmuth
Integrability of Displacement and Stresses in Linear and Nonlinear Elasticity with Mixed Boundary Conditions
Preprint SPP1253-093, 2010
Journal of Mathematical Analysis and Applications (JMAA), 382(2), p.802-813, 2011
DOI: 10.1016/j.jmaa.2011.04.074
- R. Herzog and C. Meyer
Optimal Control of Static Plasticity with Linear Kinematic Hardening
Preprint SPP1253-086, 2009
WIAS-Preprint 1370, 2008
Journal of Applied Mathematics and Mechanics (ZAMM), 91(10), p.777-794, 2011
DOI: 10.1002/zamm.200900378
- R. Herzog, C. Meyer and G. Wachsmuth
Existence and Regularity of the Plastic Multiplier in Static and Quasistatic Plasticity
GAMM Reports, 34(1), p.39-44, 2011
DOI: 10.1002/gamm.201110006
- M. Bernauer and R. Herzog
Optimal Control of the Classical Two-Phase Stefan Problem in Level Set Formulation
CSC Preprint 10-04, 2010
SIAM Journal on Scientific Computing (SISC), 33(1), p.342-363, 2011
DOI: 10.1137/100783327
- R. Herzog and K. Kunisch
Algorithms for PDE-Constrained Optimization
GAMM Reports, 33(2), p.163-176, 2010
DOI: 10.1002/gamm.201010013
- R. Herzog and E. Sachs
Preconditioned Conjugate Gradient Method for Optimal Control Problems with Control and State Constraints
Preprint SPP1253-088, 2009
SIAM Journal on Matrix Analysis and Applications (SIMAX), 31(5), p.2291-2317, 2010
DOI: 10.1137/090779127
Matlab code: bpcg.m (Bramble-Pasciak like conjugate gradient method) Example_CC3D.tar.gz (complete Example 4.2 from the paper)
- G. Wachsmuth and D. Wachsmuth
Convergence and Regularization Results for Optimal Control Problems with Sparsity Functional
ESAIM: Control, Optimisation and Calculus of Variations (COCV), 17, p.858-886, 2011
DOI: 10.1051/cocv/2010027
- R. Griesse, N. Metla and A. Rösch
Local Quadratic Convergence of SQP for Elliptic Optimal Control Problems with Mixed Control-State Constraints
RICAM Report 2008-21
Control and Cybernetics, 39(3), p.717-738, 2010
- M. Bernauer and R. Griesse
A Robustification Approach in Unconstrained Quadratic Optimization
Mathematical Programming Series A, 128(1), p.231-252, 2011
DOI: 10.1007/s10107-009-0302-9
- W. Alt, R. Griesse, N. Metla and A. Rösch
Lipschitz Stability for Elliptic Optimal Control Problems with Mixed Control-State Constraints
Optimization, 59(6), p.833-849, 2010
DOI: 10.1080/02331930902863749
- R. Griesse and K. Kunisch
A Semismooth Newton Method for Solving Elliptic Equations with Gradient Constraints
RICAM Report 2007-29
ESAIM Mathematical Modelling and Numerical Analysis (M2AN), 43(2), p.209-238, 2009
DOI: 10.1051/m2an:2008049
- R. Griesse and A.J. Meir
Modeling of a Magnetohydrodynamics Free Surface Problem Arising in Czochralski Crystal Growth
Mathematical and Computer Modelling of Dynamical Systems (MCMDS), 15(2), p.163-175, 2009
DOI: 10.1080/13873950802551542
- R. Griesse, N. Metla and A. Rösch
Convergence Analysis of the SQP Method for Nonlinear Mixed-Constrained Elliptic Optimal Control Problems
Journal of Applied Mathematics and Mechanics (ZAMM), 88(10), p.776-792, 2008
DOI: 10.1002/zamm.200800036
- R. Griesse and D. Wachsmuth
Sensitivity Analysis and the Adjoint Update Strategy for Optimal Control Problems with Mixed Control-State Constraints
RICAM Report 2007-33
Computational Optimization and Applications (COAP), 44(1), p.57-81, 2009
DOI: 10.1007/s10589-008-9181-x
- R. Griesse and D. Lorenz
A Semismooth Newton Method for Tikhonov Functionals with Sparsity Constraints
Inverse Problems, 24, 035007 (19pp), 2008
elected one of the Highlights 2008 by the editorial board
DOI: 10.1088/0266-5611/24/3/035007
Matlab code: ssn.m
- J.C. de los Reyes and R. Griesse
State-Constrained Optimal Control of the Three-Dimensional Stationary Navier-Stokes Equations
RICAM Report 2005-18
Journal of Mathematical Analysis and Applications (JMAA), 343(1), p.257-272, 2008
DOI: 10.1016/j.jmaa.2008.01.029
- R. Griesse, T. Grund and D. Wachsmuth
Update Strategies for Perturbed Nonsmooth Equations
RICAM Report 2006-17
Optimization Methods and Software (OMS), 23(3), p.321-343, 2008
DOI: 10.1080/10556780701523551
- R. Griesse and M. Weiser
On the Interplay Between Interior Point Approximation and Parametric Sensitivities in Optimal Control
RICAM Report 2005-29
Journal of Mathematical Analysis and Applications (JMAA), 337(2), p.771-793, 2008
DOI: 10.1016/j.jmaa.2007.03.106
- K. Brandes and R. Griesse
Quantitative Stability Analysis of Optimal Solutions in PDE-Constrained Optimization
RICAM Report 2006-26
Journal of Computational and Applied Mathematics (JCAM), 206(2), p.809-826, 2007
DOI: 10.1016/j.cam.2006.08.038
- R. Griesse and B. Vexler
Numerical Sensitivity Analysis for the Quantity of Interest in PDE-Constrained Optimization
RICAM Report 2005-15
SIAM Journal on Scientific Computing (SISC), 29(1), p.22-48, 2007
DOI: 10.1137/050637273
- R. Griesse and K. Kunisch
Optimal Control for a Stationary MHD System in Velocity-Current Formulation
RICAM Report 2005-02
SIAM Journal on Control and Optimization (SICON), 45(5), p.1822-1845, 2006
DOI: 10.1137/050624236
- A. Borzi and R. Griesse
Distributed Optimal Control of Lambda-Omega Systems
Journal of Numerical Mathematics (JNM), 14(1), p.17-40, 2006
DOI: 10.1163/156939506776382120
- R. Griesse
Lipschitz Stability of Solutions to Some State-Constrained Elliptic Optimal Control Problems
Journal of Analysis and its Applications (ZAA), 25(4), p.435-455, 2006
DOI: 10.4171/ZAA/1300
- R. Griesse, M. Hintermüller and M. Hinze
Differential Stability of Control Constrained Optimal Control Problems for the Navier-Stokes Equations
RICAM Report 2004-14
Numerical Functional Analysis and Optimization (NFAO), 26 (7-8), p.829-850, 2005
DOI: 10.1080/01630560500434278
- C. Büskens and R. Griesse
(Computational) Parametric Sensitivity Analysis of Perturbed PDE Optimal Control Problems with State and Control Constraints
Journal of Optimization Theory and Applications (JOTA), 131(1), p.17-35, 2006
DOI: 10.1007/s10957-006-9122-8
- A. Borzi and R. Griesse
Experiences with a Space-Time Multigrid Method for the Optimal Control of a Chemical Turbulence Model
International Journal for Numerical Methods in Fluids (IJNMF), 47(8-9), p.879-885, 2005
DOI: 10.1002/fld.904
- R. Griesse and S. Volkwein
A Primal-Dual Active Set Strategy for Optimal Boundary Control of a Nonlinear Reaction-Diffusion System
SIAM Journal on Control and Optimization (SICON), 44(2), p.467-494, 2005
DOI: 10.1137/S0363012903438696
- R. Griesse
Parametric Sensitivity Analysis in Optimal Control of a Reaction Diffusion System - Part I: Solution Differentiability
Numerical Functional Analysis and Optimization (NFAO), 25(1-2), p.93-117, 2004
DOI: 10.1081/NFA-120034120
- R. Griesse
Parametric Sensitivity Analysis in Optimal Control of a Reaction Diffusion System - Part II: Practical Methods and Examples
Optimization Methods and Software (OMS), 19(2), p.217-242, 2004
DOI: 10.1080/10556780410001654250
- R. Griesse and A. Walther
Parametric Sensitivities for Optimal Control Problems using Automatic Differentiation
Optimal Control Applications and Methods (OCAM), 24(6), p.297-314, 2003
DOI: 10.1002/oca.733
- R. Griesse and A. Walther
Evaluating Gradients in Optimal Control - Continuous Adjoints versus Automatic Differentiation
Journal of Optimization Theory and Applications (JOTA), 122(1), p.63-86, 2004
DOI: 10.1023/B:JOTA.0000041731.71309.f1
Book Chapters
- O. Ferreira, M. Louzeiro and L. Prudente
First Order Methods for Optimization on Riemannian Manifolds
Springer, 2020
DOI: 10.1007/978-3-030-31351-7_18
- R. Dietze, N. Goldberg, R. Herzog, S. Hannusch, M. Hofmann, J. Ihlemann, L. Kroll, A. Meyer, F. Ospald, E. Peretzki, G. Rünger, H. Schmidt, N. Schramm, R. Springer, M. Stockmann and L. Ulke-Winter
Modellierung, integrative Simulation und Optimierung
Springer, 2019
DOI: 10.1007/978-3-662-54734-2_8
- J. Blechschmidt and R. Herzog
Improving Policies for Hamilton-Jacobi-Bellman Equations by Postprocessing
De Gruyter Radon Series on Computational and Applied Mathematics, 2018
DOI: 10.1515/9783110543599-002
- C. Naumann, I. Riedel, U. Priber and R. Herzog
Correction Algorithms and High-Dimensional Characteristic Diagrams
in: Thermo-energetic Design of Machine Tools
Lecture Notes in Production Engineering, p.159-174, Springer, 2015
- R. Herzog, C. Meyer and G. Wachsmuth
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, Springer, 2014
- R. Herzog, A. Rösch, S. Ulbrich and W. Wollner
OPTPDE: A Collection of Problems in PDE-Constrained Optimization
in: Trends in PDE Constrained Optimization
International Series of Numerical Mathematics, p.539-543, Springer, 2014
Publications in Proceedings
- R. Bergmann, M. Herrmann, R. Herzog, S. Schmidt and J. Vidal-Núñez
Geometry Processing Problems Using the Total Variation of the Normal Vector Field
Proceedings in Applied Mathematics and Mechanics (PAMM), 19(1), 2019
DOI: 10.1002/pamm.201900189
- R. Bergmann, R. Herzog, E. Loayza and K. Welker
Shape Optimization: what to do first, optimize or discretize?
Proceedings in Applied Mathematics and Mechanics (PAMM), 19(1), 2019
DOI: 10.1002/pamm.201900067
- P. Benner, R. Herzog, N. Lang, I. Riedel and J. Saak
Optimal sensor placement based on model order reduction
Proceedings of the CIRP sponsered Conference on Thermal Issues in Machine Tools, 2018
- Bergmann, Jean Pierre, Bielenin, Martin, Herzog, Roland, Hildebrand, Jörg, Riedel, Ilka, Schricker, Klaus, Trunk, Carsten and Worthmann, Karl
Prevention of solidification cracking during pulsed laser beam welding
Proceedings in Applied Mathematics and Mechanics (PAMM), 17(1), p.405-406, 2017
DOI: 10.1002/pamm.201710172
- Ospald, Felix and Herzog, Roland
Topology Optimization for Injection Molding of Short Fiber-Reinforced Plastics
Proceedings in Applied Mathematics and Mechanics (PAMM), 17(1), p.337-338, 2017
DOI: 10.1002/pamm.201710138
- R. Herzog and I. Riedel
Optimale Sensorplatzierung und Online-Zustands- und Parameter-Identifikation
Tagungsband des 5. Kolloquiums zum SFB/Transregio 96, 2017
- D. Wachsmuth and G. Wachsmuth
How not to discretize the control
arXiv:1603.07099
Proceedings in Applied Mathematics and Mechanics (PAMM), 16(1), p.793-794, 2016
DOI: 10.1002/pamm.201610385
- R. Herzog and K. Soodhalter
Iterative Solution of Optimality Systems in Optimal Control
in: Adaptive Methods for Control Problems Constrained by Time-Dependent PDEs
Mathematisches Forschungsinstitut Oberwolfach, Report No. 04/2017, 2017
- Ospald, Felix and Herzog, Roland
SIMP based Topology Optimization for Injection Molding of SFRPs
Proceedings of the World Congress on Structural and Multidisciplinary Optimization (WCSMO), 2017
DOI: 10.1007/978-3-319-67988-4_65
- Ospald, Felix and Herzog, Roland
Optimal Experimental Design to Identify the Average Stress-Strain Response in Short Fiber-Reinforced Plastics
Proceedings in Applied Mathematics and Mechanics (PAMM), 16(1), p.673-674, 2016
DOI: 10.1002/pamm.201610325
- J. Glänzel, R. Herzog, S. Ihlenfeldt, A. Meyer and R. Unger
Simulation-based correction approach for thermo-elastic workpiece deformations during milling process
7th CIRP Conference on High Performance Cutting, 2016
Procedia CIRP, 46, p.103-106, 2016 - R. Herzog, I. Riedel, B. Kauschinger and S. Schroeder
Parameteridentifikation in thermo-elastischen Systemen
Tagungsband des 4. Kolloquiums zum SFB/Transregio 96, 2016
- M. Kabel and A. Fink and F. Ospald and M. Schneider
Nonlinear Composite Voxels and FFT-based Homogenization
Proceedings of the ECCOMAS Congress, 2016
DOI: 10.7712/100016.1944.5977 - C. Naumann, I. Riedel, S. Ihlenfeldt and U. Priber
Characteristic diagram based correction algorithms for the thermo-elastic deformation of machine tools
48th CIRP Conference on Manufacturing Systems, 2015
Procedia CIRP, 41, p.801-805, 2016 - Schneider, Matti and Ospald, Felix and Kabel, Matthias
Computational homogenization of elasticity at large deformations on a staggered grid
Conference Proceedings of the YIC GACM, p.178-181, 2015
URN: urn:nbn:de:hbz:82-rwth-2015-039806 - R. Schneider and G. Wachsmuth
Achieving optimal convergence order for FEM in control constrained optimal control problems
Proceedings in Applied Mathematics and Mechanics (PAMM), 15(1), p.731-734, 2015
DOI: 10.1002/pamm.201510350
- S. Frankeser, S. Hiller, G. Wachsmuth and J. Lutz
Using the On-state-Vbe Sat-Voltage for Temperature Estimation of SiC-BJTs During Normal Operation
Proceedings of PCIM Europe 2015, p.132-139, 2015
- S. Hannusch, R. Herzog, M. Hofmann, J. Ihlemann, L. Kroll, A. Meyer, F. Ospald, G. Rünger, R. Springer, M. Stockmann and L. Ulke-Winter
Efficient Simulation, Optimization, and Validation of Lightweight Structures
Proceedings of the 2nd International MERGE Technologies Conference for Lightweight Structures (IMTC 2015), Chemnitz
ISBN: 978-3-95735-025-1
- S. Takacs
Using Cylindrical Algebraic Decomposition and Local Fourier Analysis to Study Numerical Methods: Two Examples
Proceedings of 16th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, p.42-49, 2014
DOI: 10.1109/SYNASC.2014.14
- Ospald, Felix
Numerical Simulation of Injection Molding using OpenFOAM
Proceedings in Applied Mathematics and Mechanics (PAMM), 14(1), p.673-674, 2014
DOI: 10.1002/pamm.201410320
- R. Herzog and I. Riedel
Comparison of Two Suboptimal Sensor Placement Strategies in Thermo-Elastic Models
Special Issue: GAMM Annual Meeting 2014, Erlangen
Proceedings in Applied Mathematics and Mechanics (PAMM), 14(1), p.881-882, 2014
DOI: 10.1002/pamm.201410421
- A. Günnel and R. Herzog
Optimal Control of Large Deformation Elasticity by Fiber Tension
Special Issue: GAMM Annual Meeting 2014, Erlangen
Proceedings in Applied Mathematics and Mechanics (PAMM), 14(1), p.879-880, 2014
DOI: 10.1002/pamm.201410420
- R. Herzog and O. Rheinbach
Scalability of a FETI-DP Method for Optimal Control Problems
Special Issue: GAMM Annual Meeting 2014, Erlangen
Proceedings in Applied Mathematics and Mechanics (PAMM), 14(1), p.837-838, 2014
DOI: 10.1002/pamm.201410399
- M. Hofmann, F. Ospald, H. Schmidt and R. Springer
Programming support for the flexible coupling of distributed software components for scientific simulations
Proceedings of the 9th International Conference on Software Engineering and Applications (ICSOFT-EA), p.506-511, 2014
- R. Herzog and O. Rheinbach
FETI-DP Methods for Optimal Control Problems
in: Domain Decomposition Methods in Science and Engineering XXI
(21st International Conference on Domain Decomposition Methods, DD21 2012, Rennes, France, June 25-29, 2012)
- D. Wachsmuth and G. Wachsmuth
Necessary conditions for convergence rates of regularizations of optimal control problems
in: System and Modeling
(25th IFIP TC 7 Conference, CSMO 2011, Berlin, Germany, September 12-16, 2011, Revised Selected Papers)
- E. Casas, R. Herzog and G. Wachsmuth
Approximation of Sparse Controls in Semilinear Elliptic Equations
in: Large-Scale Scientific Computing
(Proceedings of the 8th International Conference Large-Scale Scientific Computing, Sozopol, Bulgaria, June 6-10, 2011)
Volume of Lecture Notes in Computer Science, Springer, Berlin, 2012
- M. Bernauer, R. Herzog and K. Kunisch
Optimal Control of the Two-Phase Stefan Problem in Level Set Formulation
in: New Directions in Simulation, Control and Analysis for Interfaces and Free Boundaries
Mathematisches Forschungsinstitut Oberwolfach, Report No. 07/2010, 2010
- R. Griesse and K. Kunisch
A Semismooth Newton Method for Solving Elliptic Equations with Gradient Constraints
in: Optimal Control of Coupled Systems of PDE
Mathematisches Forschungsinstitut Oberwolfach, Report No. 13/2008, p.603-605, 2008
- R. Griesse, A.J. Meir and K. Kunisch
Control Issues in Magnetohydrodynamics
in: Control of Free Boundaries
Mathematisches Forschungsinstitut Oberwolfach, Report No. 8/2007, p.466-469, 2007
- R. Griesse and A.J. Meir
Modeling of an MHD Free Surface Problem Arising in CZ Crystal Growth
RICAM Report 2005-30
in: Proceedings of the 5th IMACS Symposium on Mathematical Modelling (5th MATHMOD), I. Troch, F. Breitenecker (eds)
ARGESIM Report 30, Vienna, 2006
- R. Griesse and K. Kunisch
Optimal Control in Magnetohydrodynamics
in: Optimal Control of Coupled Systems of PDE
Mathematisches Forschungsinstitut Oberwolfach, Report No. 18/2005, p.1011-1014, 2005
- R. Griesse and A. Walther
Towards Matrix-Free AD-Based Preconditioning of KKT Systems in PDE-Constrained Optimization
Special Issue: GAMM Annual Meeting 2005, Luxemburg
Proceedings in Applied Mathematics and Mechanics (PAMM), 5(1), p.47-50, 2005
- R. Griesse and S. Volkwein
Parametric Sensitivity Analysis for Optimal Boundary Control of a 3D Reaction-Diffusion System
in: Large-Scale Nonlinear Optimization, G. Di Pillo, M. Roma (eds)
(Proceedings of the Workshop Large Scale Nonlinear Optimization, Erice, 2004)
Volume 83 of Nonconvex Optimization and its Applications, Springer, Berlin, 2006
- R. Griesse and S. Volkwein
A Semi-Smooth Newton Method for Optimal Boundary Control of a Nonlinear Reaction-Diffusion System
Proceedings of the Sixteenth International Symposium on Mathematical Theory of Networks and Systems (MTNS), Leuven, Belgium, 2004
- R. Griesse and A. Walther
Using AD-generated Derivatives in Optimal Control of an Industrial Robot
Progress in Industrial Mathematics at ECMI 2002, p.127-132, Springer, 2004
- R. Griesse
A Reduced SQP Algorithm for the Optimal Control of Semilinear Parabolic Equations – and its Application to Reaction-Diffusion Systems
System Modeling and Optimization XX, Proceedings of the 20th IFIP TC 7 Conference (Trier, Germany), p.239-253, Kluwer Academic Publishers, 2003
- R. Griesse
Some Aspects for Instantaneous Boundary Control of Backward-facing Step Flow
Proceedings of the GAMM 2000 Annual Scientific Meeting, Göttingen, Germany, Zeitschrift für Angewandte Mathematik und Mechanik 81, Suppl. 2, p.251-252, 2001
Further Documents
- A. Stötzner
Optimal Control of Thermoviscoplasticity
Dissertation, TU Chemnitz, 2018
- G. Wachsmuth
Optimization problems with complementarity constraints in infinite-dimensional spaces
Habilitation thesis, TU Chemnitz, 2017
URN: urn:nbn:de:bsz:ch1-qucosa-227446
- A. Günnel
Numerical Aspects in Optimal Control of Elasticity Models with Large Deformations
Dissertation, TU Chemnitz, 2014
- T. Etling
Optimale Versuchsplanung für die Bestimmung von Parametern bei Wärmeübergangsexperimenten (in German)
Diploma Thesis, TU Chemnitz, 2012
- R. Herzog, C. Meyer and G. Wachsmuth
Optimale Steuerung in der Elastoplastizität
GAMM-Rundbrief 02/2012, p.16-20, 2012
- Gerd Wachsmuth
Optimal control of quasistatic plasticity - An MPCC in function space
Dissertation, TU Chemnitz, 2011
- R. Herzog
Algorithms and Preconditioning in PDE-Constrained Optimization
Extended lecture notes pertaining to a talk at the summer school Analysis and Numerics of PDE Constrained Optimization, Lambrecht, Germany
July 2010
- M. Bernauer
Motion Planning for the Two-Phase Stefan Problem in Level Set Formulation
Dissertation, TU Chemnitz, 2010
- R. Griesse
Stability and Sensitivity Analysis in Optimal Control of Partial Differential Equations
Cumulative Habilitation Thesis, Karl Franzens University Graz, Austria, 2008
- G. Wachsmuth
Elliptische Optimalsteuerungsprobleme unter Sparsity-Constraints (in German)
Diploma Thesis, TU Chemnitz, 2008
- R. Griesse
The RICAM Information Leaflet (Information for Incoming Ph.D. Students, Postdocs, and Visiting Scientists), 2005
- R. Griesse
Parametric Sensitivity Analysis for Control-Constrained Optimal Control Problems Governed by Systems of Parabolic Partial Differential Equations (PDF, 22 MB)
Dissertation, University of Bayreuth, 2003
- R. Griesse
Optimale und suboptimale Steuerung der Navier-Stokes-Gleichungen (in German)
Diploma Thesis, TU Clausthal, 1999