Arnd Rösch

Affiliations:
  • University of Duisburg-Essen, Germany


According to our database1, Arnd Rösch authored at least 42 papers between 2002 and 2023.

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

Timeline

Legend:

Book 
In proceedings 
Article 
PhD thesis 
Dataset
Other 

Links

Online presence:

On csauthors.net:

Bibliography

2023
Recent Advances in Finite Element Methods.
Comput. Methods Appl. Math., October, 2023

FEM for Semilinear Elliptic Optimal Control with Nonlinear and Mixed Constraints.
J. Optim. Theory Appl., April, 2023

Numerical analysis of a nonsmooth quasilinear elliptic control problem: II. Finite element discretization and error estimates.
CoRR, 2023

2022
Error estimates for the numerical approximation of a non-smooth quasilinear elliptic control problem.
CoRR, 2022

2021
A Priori Error Estimates for the Finite Element Approximation of a Nonsmooth Optimal Control Problem Governed by a Coupled Semilinear PDE-ODE System.
SIAM J. Control. Optim., 2021

Numerical approximation of control problems of non-monotone and non-coercive semilinear elliptic equations.
Numerische Mathematik, 2021

2020
A priori error estimates for the space-time finite element discretization of an optimal control problem governed by a coupled linear PDE-ODE system.
CoRR, 2020

2019
Error Estimates for Semilinear Parabolic Control Problems in the Absence of Tikhonov Term.
SIAM J. Control. Optim., 2019

2018
Improved approximation rates for a parabolic control problem with an objective promoting directional sparsity.
Comput. Optim. Appl., 2018

2017
Mass Lumping for the Optimal Control of Elliptic Partial Differential Equations.
SIAM J. Numer. Anal., 2017

Pontryagin's Principle for Optimal Control Problem Governed by 3D Navier-Stokes Equations.
J. Optim. Theory Appl., 2017

Reliable a posteriori error estimation for state-constrained optimal control.
Comput. Optim. Appl., 2017

2016
Second-Order Optimality Conditions for Boundary Control Problems with Mixed Pointwise Constraints.
SIAM J. Optim., 2016

2015
Finite Element Discretization of State-Constrained Elliptic Optimal Control Problems with Semilinear State Equation.
SIAM J. Control. Optim., 2015

On the Regularity of the Solutions of Dirichlet Optimal Control Problems in Polygonal Domains.
SIAM J. Control. Optim., 2015

Finite element error estimates on the boundary with application to optimal control.
Math. Comput., 2015

Second-Order Necessary Optimality Conditions for a Class of Optimal Control Problems Governed by Partial Differential Equations with Pure State Constraints.
J. Optim. Theory Appl., 2015

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

2014
A Posteriori Error Analysis of Optimal Control Problems with Control Constraints.
SIAM J. Control. Optim., 2014

2012
A-posteriori error estimates for optimal control problems with state and control constraints.
Numerische Mathematik, 2012

Introduction.
Comput. Optim. Appl., 2012

Regularization for semilinear elliptic optimal control problems with pointwise state and control constraints.
Comput. Optim. Appl., 2012

Finite element error estimates for Neumann boundary control problems on graded meshes.
Comput. Optim. Appl., 2012

A Posteriori Error Estimators for Control Constrained Optimal Control Problems.
Proceedings of the Constrained Optimization and Optimal Control for Partial Differential Equations, 2012

Discretization of Optimal Control Problems.
Proceedings of the Constrained Optimization and Optimal Control for Partial Differential Equations, 2012

2011
Semi-smooth Newton method for an optimal control problem with control and mixed control-state constraints.
Optim. Methods Softw., 2011

On saturation effects in the Neumann boundary control of elliptic optimal control problems.
Comput. Optim. Appl., 2011

2010
A Priori Error Analysis for Linear Quadratic Elliptic Neumann Boundary Control Problems with Control and State Constraints.
SIAM J. Control. Optim., 2010

2009
L<sup>INFINITY</sup>-Error Estimates on Graded Meshes with Application to Optimal Control.
SIAM J. Control. Optim., 2009

A virtual control concept for state constrained optimal control problems.
Comput. Optim. Appl., 2009

Error estimates for the discretization of elliptic control problems with pointwise control and state constraints.
Comput. Optim. Appl., 2009

2008
Numerical Verification of Optimality Conditions.
SIAM J. Control. Optim., 2008

2007
On Regularity of Solutions and Lagrange Multipliers of Optimal Control Problems for Semilinear Equations with Mixed Pointwise Control-State Constraints.
SIAM J. Control. Optim., 2007

2006
Optimal Control of the Stokes Equations: A Priori Error Analysis for Finite Element Discretization with Postprocessing.
SIAM J. Numer. Anal., 2006

Sufficient Second-Order Optimality Conditions for an Elliptic Optimal Control Problem with Pointwise Control-State Constraints.
SIAM J. Optim., 2006

Existence of Regular Lagrange Multipliers for a Nonlinear Elliptic Optimal Control Problem with Pointwise Control-State Constraints.
SIAM J. Control. Optim., 2006

Error estimates for linear-quadratic control problems with control constraints.
Optim. Methods Softw., 2006

Optimal Control of PDEs with Regularized Pointwise State Constraints.
Comput. Optim. Appl., 2006

2005
L<sup>INFINITY</sup>-Estimates for Approximated Optimal Control Problems.
SIAM J. Control. Optim., 2005

2004
Superconvergence Properties of Optimal Control Problems.
SIAM J. Control. Optim., 2004

2003
Sufficient Second-Order Optimality Conditions for a Parabolic Optimal Control Problem with Pointwise Control-State Constraints.
SIAM J. Control. Optim., 2003

2002
Primal-Dual Active Set Strategy for a General Class of Constrained Optimal Control Problems.
SIAM J. Optim., 2002


  Loading...