Roland Herzog

Orcid: 0000-0003-2164-6575

Affiliations:
  • Chemnitz University of Technology, Germany


According to our database1, Roland Herzog authored at least 60 papers between 2001 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
The Riemannian Convex Bundle Method.
CoRR, 2024

Tractable Optimal Experimental Design using Transport Maps.
CoRR, 2024

2023
Optimal control of the stationary Kirchhoff equation.
Comput. Optim. Appl., June, 2023

Total Generalized Variation for Piecewise Constant Functions on Triangular Meshes with Applications in Imaging.
SIAM J. Imaging Sci., March, 2023

Adaptive Step Sizes for Preconditioned Stochastic Gradient Descent.
CoRR, 2023

Sensitivity-Based Layer Insertion for Residual and Feedforward Neural Networks.
CoRR, 2023

Frobenius-Type Norms and Inner Products of Matrices and Linear Maps with Applications to Neural Network Training.
CoRR, 2023

Introducing Thermodynamics-Informed Symbolic Regression - A Tool for Thermodynamic Equations of State Development.
CoRR, 2023

Time Regularization in Optimal Time Variable Learning.
CoRR, 2023

Uncertainty Propagation of Initial Conditions in Thermal Models.
CoRR, 2023

2022
A manifold of planar triangular meshes with complete Riemannian metric.
Math. Comput., September, 2022

Fenchel Duality and a Separation Theorem on Hadamard Manifolds.
SIAM J. Optim., 2022

First- and Second-Order Analysis for Optimization Problems with Manifold-Valued Constraints.
J. Optim. Theory Appl., 2022

Total Generalized Variation for Piecewise Constant Functions with Applications in Imaging.
CoRR, 2022

Preconditioning for a Phase-Field Model with Application to Morphology Evolution in Organic Semiconductors.
CoRR, 2022

2021
Fenchel Duality Theory and a Primal-Dual Algorithm on Riemannian Manifolds.
Found. Comput. Math., 2021

Optimal Control of the Kirchhoff Equation.
CoRR, 2021

Dimensionally Consistent Preconditioning for Saddle-Point Problems.
Comput. Methods Appl. Math., 2021

2020
First and Second Order Shape Optimization Based on Restricted Mesh Deformations.
SIAM J. Sci. Comput., 2020

Mesh Denoising and Inpainting using the Total Variation of the Normal.
CoRR, 2020

Continuous Galerkin Schemes for Semi-Explicit Differential-Algebraic Equations.
CoRR, 2020

Optimal Control of Hughes' Model for Pedestrian Flow via Local Attraction.
CoRR, 2020

An Extension of the Strain Transfer Principle for Fiber Reinforced Materials.
CoRR, 2020

First-Order Methods for Optimal Experimental Design Problems with Bound Constraints.
CoRR, 2020

2019
Optimum Experimental Design for Interface Identification Problems.
SIAM J. Sci. Comput., 2019

Intrinsic Formulation of KKT Conditions and Constraint Qualifications on Smooth Manifolds.
SIAM J. Optim., 2019

Discrete Total Variation with Finite Elements and Applications to Imaging.
J. Math. Imaging Vis., 2019

Error estimation for second-order PDEs in non-variational form.
CoRR, 2019

Discrete Total Variation of the Normal Vector Field as Shape Prior with Applications in Geometric Inverse Problems.
CoRR, 2019

Fenchel Duality for Convex Optimization and a Primal Dual Algorithm on Riemannian Manifolds.
CoRR, 2019

Fast iterative solvers for an optimal transport problem.
Adv. Comput. Math., 2019

2018
Analysis and an Interior-Point Approach for TV Image Reconstruction Problems on Smooth Surfaces.
SIAM J. Imaging Sci., 2018

Optimum Experimental Design by Shape Optimization of Specimens in Linear Elasticity.
SIAM J. Appl. Math., 2018

2017
A Modified Implementation of MINRES to Monitor Residual Subvector Norms for Block Systems.
SIAM J. Sci. Comput., 2017

2016
Preconditioned Solution of State Gradient Constrained Elliptic Optimal Control Problems.
SIAM J. Numer. Anal., 2016

Optimal Control of Static Elastoplasticity in Primal Formulation.
SIAM J. Control. Optim., 2016

Optimal Control Problems in Finite-Strain Elasticity by Inner Pressure and Fiber Tension.
Frontiers Appl. Math. Stat., 2016

2015
Superlinear Convergence of Krylov Subspace Methods for Self-Adjoint Problems in Hilbert Space.
SIAM J. Numer. Anal., 2015

Erratum: Directional Sparsity In Optimal Control of Partial Differential Equations.
SIAM J. Control. Optim., 2015

Annular and sectorial sparsity in optimal control of elliptic equations.
Comput. Optim. Appl., 2015

Introduction to the special issue for EUCCO 2013.
Comput. Optim. Appl., 2015

2013
B- and Strong Stationarity for Optimal Control of Static Plasticity with Hardening.
SIAM J. Optim., 2013

Primal-dual methods for the computation of trading regions under proportional transaction costs.
Math. Methods Oper. Res., 2013

2012
Optimality Conditions and Error Analysis of Semilinear Elliptic Control Problems with L<sup>1</sup> Cost Functional.
SIAM J. Optim., 2012

Directional Sparsity in Optimal Control of Partial Differential Equations.
SIAM J. Control. Optim., 2012

C-Stationarity for Optimal Control of Static Plasticity with Linear Kinematic Hardening.
SIAM J. Control. Optim., 2012

Approximation of sparse controls in semilinear equations by piecewise linear functions.
Numerische Mathematik, 2012

Implementation of an X-FEM Solver for the Classical Two-Phase Stefan Problem.
J. Sci. Comput., 2012

2011
Optimal Control of the Classical Two-Phase Stefan Problem in Level Set Formulation.
SIAM J. Sci. Comput., 2011

A robustification approach in unconstrained quadratic optimization.
Math. Program., 2011

Approximation of Sparse Controls in Semilinear Elliptic Equations.
Proceedings of the Large-Scale Scientific Computing - 8th International Conference, 2011

2010
Preconditioned Conjugate Gradient Method for Optimal Control Problems with Control and State Constraints.
SIAM J. Matrix Anal. Appl., 2010

2009
Sensitivity analysis and the adjoint update strategy for an optimal control problem with mixed control-state constraints.
Comput. Optim. Appl., 2009

2008
Update strategies for perturbed nonsmooth equations.
Optim. Methods Softw., 2008

2007
Numerical Sensitivity Analysis for the Quantity of Interest in PDE-Constrained Optimization.
SIAM J. Sci. Comput., 2007

2006
Optimal Control for a Stationary MHD System in Velocity-Current Formulation.
SIAM J. Control. Optim., 2006

Distributed optimal control of lambda-omega systems.
J. Num. Math., 2006

2005
A Primal-Dual Active Set Strategy for Optimal Boundary Control of a Nonlinear Reaction-Diffusion System.
SIAM J. Control. Optim., 2005

2004
Parametric sensitivity analysis in optimal control of a reaction-diffusion system - part II: practical methods and examples.
Optim. Methods Softw., 2004

2001
A Reduced SQP Algorithm for the Optimal Control of Semilinear Parabolic Equations.
Proceedings of the System Modelling and Optimization XX, 2001


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