Arnd Rösch

Publication Activity (10 Years)

Years Active: 2002-2023
Publications (10 Years): 13

Top Topics

Optimal Control

Hamilton Jacobi Bellman

Error Estimates

Differential Equations

Top Venues

SIAM J. Control. Optim.

J. Optim. Theory Appl.

Comput. Optim. Appl.

Publications

Sven Beuchler, Arnd Rösch
Recent Advances in Finite Element Methods. Comput. Methods Appl. Math. 23 (4) (2023)
Bui Trong Kien, Arnd Rösch, Nguyen Hai Son, Nguyen Van Tuyen
FEM for Semilinear Elliptic Optimal Control with Nonlinear and Mixed Constraints. J. Optim. Theory Appl. 197 (1) (2023)
Christian Clason, Vu Huu Nhu, Arnd Rösch
Numerical analysis of a nonsmooth quasilinear elliptic control problem: II. Finite element discretization and error estimates. CoRR (2023)
Christian Clason, Vu Huu Nhu, Arnd Rösch
Error estimates for the numerical approximation of a non-smooth quasilinear elliptic control problem. CoRR (2022)
Eduardo Casas, Mariano Mateos, Arnd Rösch
Numerical approximation of control problems of non-monotone and non-coercive semilinear elliptic equations. Numerische Mathematik 149 (2) (2021)
Marita Holtmannspötter, Arnd Rösch
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. 59 (5) (2021)
Marita Holtmannspötter, Arnd Rösch, Boris Vexler
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)
Eduardo Casas, Mariano Mateos, Arnd Rösch
Error Estimates for Semilinear Parabolic Control Problems in the Absence of Tikhonov Term. SIAM J. Control. Optim. 57 (4) (2019)
Eduardo Casas, Mariano Mateos, Arnd Rösch
Improved approximation rates for a parabolic control problem with an objective promoting directional sparsity. Comput. Optim. Appl. 70 (1) (2018)
Bui Trong Kien, Arnd Rösch, Daniel Wachsmuth
Pontryagin's Principle for Optimal Control Problem Governed by 3D Navier-Stokes Equations. J. Optim. Theory Appl. 173 (1) (2017)
Arnd Rösch, Gerd Wachsmuth
Mass Lumping for the Optimal Control of Elliptic Partial Differential Equations. SIAM J. Numer. Anal. 55 (3) (2017)
Arnd Rösch, Kunibert G. Siebert, S. Steinig
Reliable a posteriori error estimation for state-constrained optimal control. Comput. Optim. Appl. 68 (1) (2017)
Nguyen Hai Son, Bui Trong Kien, Arnd Rösch
Second-Order Optimality Conditions for Boundary Control Problems with Mixed Pointwise Constraints. SIAM J. Optim. 26 (3) (2016)
Ira Neitzel, Johannes Pfefferer, Arnd Rösch
Finite Element Discretization of State-Constrained Elliptic Optimal Control Problems with Semilinear State Equation. SIAM J. Control. Optim. 53 (2) (2015)
Peter Benner, Roland Herzog, Michael Hinze, Arnd Rösch, Anton Schiela, Volker Schulz
Introduction to the special issue for EUCCO 2013. Comput. Optim. Appl. 62 (1) (2015)
Thomas Apel, Mariano Mateos, Johannes Pfefferer, Arnd Rösch
On the Regularity of the Solutions of Dirichlet Optimal Control Problems in Polygonal Domains. SIAM J. Control. Optim. 53 (6) (2015)
Bui Trong Kien, V. H. Nhu, Arnd Rösch
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. 165 (1) (2015)
Thomas Apel, Johannes Pfefferer, Arnd Rösch
Finite element error estimates on the boundary with application to optimal control. Math. Comput. 84 (291) (2015)
Kristina Kohls, Arnd Rösch, Kunibert G. Siebert
A Posteriori Error Analysis of Optimal Control Problems with Control Constraints. SIAM J. Control. Optim. 52 (3) (2014)
Fredi Tröltzsch, Arnd Rösch
Introduction. Comput. Optim. Appl. 52 (1) (2012)
Thomas Apel, Johannes Pfefferer, Arnd Rösch
Finite element error estimates for Neumann boundary control problems on graded meshes. Comput. Optim. Appl. 52 (1) (2012)
Arnd Rösch, Daniel Wachsmuth
A-posteriori error estimates for optimal control problems with state and control constraints. Numerische Mathematik 120 (4) (2012)
Klaus Krumbiegel, Ira Neitzel, Arnd Rösch
Regularization for semilinear elliptic optimal control problems with pointwise state and control constraints. Comput. Optim. Appl. 52 (1) (2012)
Arnd Rösch, Daniel Wachsmuth
Semi-smooth Newton method for an optimal control problem with control and mixed control-state constraints. Optim. Methods Softw. 26 (2) (2011)
Mariano Mateos, Arnd Rösch
On saturation effects in the Neumann boundary control of elliptic optimal control problems. Comput. Optim. Appl. 49 (2) (2011)
Klaus Krumbiegel, Christian Meyer, Arnd Rösch
A Priori Error Analysis for Linear Quadratic Elliptic Neumann Boundary Control Problems with Control and State Constraints. SIAM J. Control. Optim. 48 (8) (2010)
Thomas Apel, Arnd Rösch, Dieter Sirch
-Error Estimates on Graded Meshes with Application to Optimal Control. SIAM J. Control. Optim. 48 (3) (2009)
Svetlana Cherednichenko, Arnd Rösch
Error estimates for the discretization of elliptic control problems with pointwise control and state constraints. Comput. Optim. Appl. 44 (1) (2009)
Klaus Krumbiegel, Arnd Rösch
A virtual control concept for state constrained optimal control problems. Comput. Optim. Appl. 43 (2) (2009)
Arnd Rösch, Daniel Wachsmuth
Numerical Verification of Optimality Conditions. SIAM J. Control. Optim. 47 (5) (2008)
Arnd Rösch, Fredi Tröltzsch
On Regularity of Solutions and Lagrange Multipliers of Optimal Control Problems for Semilinear Equations with Mixed Pointwise Control-State Constraints. SIAM J. Control. Optim. 46 (3) (2007)
Arnd Rösch, Fredi Tröltzsch
Sufficient Second-Order Optimality Conditions for an Elliptic Optimal Control Problem with Pointwise Control-State Constraints. SIAM J. Optim. 17 (3) (2006)
Arnd Rösch
Error estimates for linear-quadratic control problems with control constraints. Optim. Methods Softw. 21 (1) (2006)
Arnd Rösch, Boris Vexler
Optimal Control of the Stokes Equations: A Priori Error Analysis for Finite Element Discretization with Postprocessing. SIAM J. Numer. Anal. 44 (5) (2006)
Christian Meyer, Arnd Rösch, Fredi Tröltzsch
Optimal Control of PDEs with Regularized Pointwise State Constraints. Comput. Optim. Appl. 33 (2-3) (2006)
Arnd Rösch, Fredi Tröltzsch
Existence of Regular Lagrange Multipliers for a Nonlinear Elliptic Optimal Control Problem with Pointwise Control-State Constraints. SIAM J. Control. Optim. 45 (2) (2006)
Christian Meyer, Arnd Rösch
-Estimates for Approximated Optimal Control Problems. SIAM J. Control. Optim. 44 (5) (2005)
Christian Meyer, Arnd Rösch
Superconvergence Properties of Optimal Control Problems. SIAM J. Control. Optim. 43 (3) (2004)
Arnd Rösch, Fredi Tröltzsch
Sufficient Second-Order Optimality Conditions for a Parabolic Optimal Control Problem with Pointwise Control-State Constraints. SIAM J. Control. Optim. 42 (1) (2003)
Karl Kunisch, Arnd Rösch
Primal-Dual Active Set Strategy for a General Class of Constrained Optimal Control Problems. SIAM J. Optim. 13 (2) (2002)