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ORCIDArnd Rösch
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- affiliation: University of Duisburg-Essen, Germany
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2020 – today
- 2023
[j37]Sven Beuchler
, Arnd Rösch:
Recent Advances in Finite Element Methods. Comput. Methods Appl. Math. 23(4): 813-816 (2023)- [j36]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): 130-173 (2023) - [i3]Christian Clason, Vu Huu Nhu, Arnd Rösch:
Numerical analysis of a nonsmooth quasilinear elliptic control problem: II. Finite element discretization and error estimates. CoRR abs/2303.03060 (2023) - 2022
- [i2]Christian Clason, Vu Huu Nhu, Arnd Rösch:
Error estimates for the numerical approximation of a non-smooth quasilinear elliptic control problem. CoRR abs/2203.16865 (2022) - 2021
- [j35]Eduardo Casas, Mariano Mateos, Arnd Rösch:
Numerical approximation of control problems of non-monotone and non-coercive semilinear elliptic equations. Numerische Mathematik 149(2): 305-340 (2021) - [j34]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): 3329-3358 (2021) - 2020
- [i1]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 abs/2004.04448 (2020)
2010 – 2019
- 2019
- [j33]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): 2515-2540 (2019) - 2018
- [j32]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): 239-266 (2018) - 2017
- [j31]Arnd Rösch, Kunibert G. Siebert, S. Steinig:
Reliable a posteriori error estimation for state-constrained optimal control. Comput. Optim. Appl. 68(1): 121-162 (2017) - [j30]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): 30-55 (2017) - [j29]Arnd Rösch, Gerd Wachsmuth:
Mass Lumping for the Optimal Control of Elliptic Partial Differential Equations. SIAM J. Numer. Anal. 55(3): 1412-1436 (2017) - 2016
- [j28]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): 1912-1943 (2016) - 2015
- [j27]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): 1-3 (2015) - [j26]Bui Trong Kien, Vu Huu 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): 30-61 (2015) - [j25]Thomas Apel, Johannes Pfefferer, Arnd Rösch:
Finite element error estimates on the boundary with application to optimal control. Math. Comput. 84(291): 33-70 (2015) - [j24]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): 874-904 (2015) - [j23]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): 3620-3641 (2015) - 2014
- [j22]Kristina Kohls, Arnd Rösch, Kunibert G. Siebert:
A Posteriori Error Analysis of Optimal Control Problems with Control Constraints. SIAM J. Control. Optim. 52(3): 1832-1861 (2014) - 2012
- [j21]Fredi Tröltzsch, Arnd Rösch:
Introduction. Comput. Optim. Appl. 52(1): 1-2 (2012) - [j20]Thomas Apel, Johannes Pfefferer, Arnd Rösch:
Finite element error estimates for Neumann boundary control problems on graded meshes. Comput. Optim. Appl. 52(1): 3-28 (2012) - [j19]Klaus Krumbiegel, Ira Neitzel, Arnd Rösch:
Regularization for semilinear elliptic optimal control problems with pointwise state and control constraints. Comput. Optim. Appl. 52(1): 181-207 (2012) - [j18]Arnd Rösch, Daniel Wachsmuth:
A-posteriori error estimates for optimal control problems with state and control constraints. Numerische Mathematik 120(4): 733-762 (2012) - [p2]Michael Hinze, Arnd Rösch:
Discretization of Optimal Control Problems. Constrained Optimization and Optimal Control for Partial Differential Equations 2012: 391-430 - [p1]Kristina Kohls, Arnd Rösch, Kunibert G. Siebert:
A Posteriori Error Estimators for Control Constrained Optimal Control Problems. Constrained Optimization and Optimal Control for Partial Differential Equations 2012: 431-443 - 2011
- [j17]Mariano Mateos, Arnd Rösch:
On saturation effects in the Neumann boundary control of elliptic optimal control problems. Comput. Optim. Appl. 49(2): 359-378 (2011) - [j16]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): 169-186 (2011) - 2010
- [j15]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): 5108-5142 (2010)
2000 – 2009
- 2009
- [j14]Klaus Krumbiegel, Arnd Rösch:
A virtual control concept for state constrained optimal control problems. Comput. Optim. Appl. 43(2): 213-233 (2009) - [j13]Svetlana Cherednichenko, Arnd Rösch:
Error estimates for the discretization of elliptic control problems with pointwise control and state constraints. Comput. Optim. Appl. 44(1): 27-55 (2009) - [j12]Thomas Apel, Arnd Rösch, Dieter Sirch:
LINFINITY-Error Estimates on Graded Meshes with Application to Optimal Control. SIAM J. Control. Optim. 48(3): 1771-1796 (2009) - 2008
- [j11]Arnd Rösch, Daniel Wachsmuth:
Numerical Verification of Optimality Conditions. SIAM J. Control. Optim. 47(5): 2557-2581 (2008) - 2007
- [j10]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): 1098-1115 (2007) - 2006
- [j9]Christian Meyer, Arnd Rösch, Fredi Tröltzsch:
Optimal Control of PDEs with Regularized Pointwise State Constraints. Comput. Optim. Appl. 33(2-3): 209-228 (2006) - [j8]Arnd Rösch:
Error estimates for linear-quadratic control problems with control constraints. Optim. Methods Softw. 21(1): 121-134 (2006) - [j7]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): 548-564 (2006) - [j6]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): 776-794 (2006) - [j5]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): 1903-1920 (2006) - 2005
- [j4]Christian Meyer, Arnd Rösch:
LINFINITY-Estimates for Approximated Optimal Control Problems. SIAM J. Control. Optim. 44(5): 1636-1649 (2005) - 2004
- [j3]Christian Meyer, Arnd Rösch:
Superconvergence Properties of Optimal Control Problems. SIAM J. Control. Optim. 43(3): 970-985 (2004) - 2003
- [j2]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): 138-154 (2003) - 2002
- [j1]Karl Kunisch, Arnd Rösch:
Primal-Dual Active Set Strategy for a General Class of Constrained Optimal Control Problems. SIAM J. Optim. 13(2): 321-334 (2002)
Coauthor Index
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