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A Posteriori Error Estimators for Control Constrained Optimal Control Problems

K. Kohls, A. Rösch, and K. Siebert. Constrained Optimization and Optimal Control for Partial Differential Equations, 160, Birkhäuser, Basel, (2012)
DOI: 10.1007/978-3-0348-0133-1_22

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Korbinian Rösch University of Stuttgart

Univ. -Prof. Dr. Arnd Heyer University of Stuttgart

Arnd Nitschke University of Stuttgart

Christoph Arndt University of Stuttgart

Marco Arndt University of Stuttgart

Other publications of authors with the same name

A Priori Error Analysis for Linear Quadratic Elliptic Neumann Boundary Control Problems with Control and State Constraints.K. Krumbiegel, C. Meyer, and A. Rösch. SIAM J. Control and Optimization, 48 (8): 5108-5142 (2010)Numerical Verification of Optimality Conditions.A. Rösch, and D. Wachsmuth. SIAM J. Control and Optimization, 47 (5): 2557-2581 (2008)A virtual control concept for state constrained optimal control problems.K. Krumbiegel, and A. Rösch. Comp. Opt. and Appl., 43 (2): 213-233 (2009)Second-Order Necessary Optimality Conditions for a Class of Optimal Control Problems Governed by Partial Differential Equations with Pure State Constraints.B. Kien, V. Nhu, and A. Rösch. J. Optimization Theory and Applications, 165 (1): 30-61 (2015)Analysis of Adaptive Finite Elements for Constrained Optimal Control ProblemsK. Kohls, A. Rösch, and K. Siebert. (2010)Primal-Dual Active Set Strategy for a General Class of Constrained Optimal Control Problems.K. Kunisch, and A. Rösch. SIAM Journal on Optimization, 13 (2): 321-334 (2002)Existence of Regular Lagrange Multipliers for a Nonlinear Elliptic Optimal Control Problem with Pointwise Control-State Constraints.A. Rösch, and F. Tröltzsch. SIAM J. Control and Optimization, 45 (2): 548-564 (2006)Superconvergence Properties of Optimal Control Problems.C. Meyer, and A. Rösch. SIAM J. Control and Optimization, 43 (3): 970-985 (2004)Regularization for semilinear elliptic optimal control problems with pointwise state and control constraints.K. Krumbiegel, I. Neitzel, and A. Rösch. Comp. Opt. and Appl., 52 (1): 181-207 (2012)Improved approximation rates for a parabolic control problem with an objective promoting directional sparsity.E. Casas, M. Mateos, and A. Rösch. Comp. Opt. and Appl., 70 (1): 239-266 (2018)