Former Member

Dr. Arnd Rösch

< back

Peer Reviewed Journal Publication
  • A. Rösch, D. Wachsmuth (2006) Regularity of solutions for an optimal control problem with mixed control-state constraints. TOP, Bd. 14(2), S. 263-278.
  • A. Rösch, B. Vexler (2006) Optimal control of the Stokes equations: A priori error analysis for finite element discretization with postprocessing. SIAM Journal Numerical Analysis, Bd. 44(5), S. 1903-1920. (link)
  • A. Rösch, F. Tröltzsch (2006) Sufficient second-order optimality conditions for an elliptic optimal control problem with pointwise control-state constraints. SIAM Journal Optimization, Bd. 17(3), S. 776-794.
  • S. Cherednichenko, A. Rösch (2006) Error estimates for the regularization of optimal control problems with pointwise control and state constraints. accepted for publication in ZAA.
  • A. Rösch, F. Tröltzsch (2006) Existence of regular Lagrange multipliers for elliptic optimal control problem with pointwise control-state constraints. SIAM Journal Control and Optimization, Bd. 45(2), S. 548-564.
  • C. Meyer, A. Rösch, F. Tröltzsch (2006) Optimal Control of PDEs with regularized pointwise state constraints. Computational Optimization and Applications, Bd. 33(2-3), S. 209-228. (link)
  • Rösch, A. (2006) Error estimates for linear-quadratic control problems with control constraints. Optimization Methods and Software, Bd. 21(1), S. 121-134. (link)
  • Rösch, A.; Simon, R. (2005) Linear and discontinuous approximations for optimal control problems. Numerical Functional Analysis and Optimization, Bd. 26(3), S. 427-448.
  • Meyer, C.; Rösch, A. (2005) L¥-Estimates for approximated optimal control problems. SIAM Journal Control and Optimization, Bd. 44(5), S. 1636-1649. (link)
  • Rösch, A.; Wachsmuth, D. (2005) Regularity of the adjoint state of the instationary Navier-Stokes equations. Zeitschrift für Analysis und ihre Anwendungen, Bd. 24(1), S. 103-116. (link)
  • Rösch, A.; Wachsmuth, D. (2005) Regularity of solutions for an optimal control problem with mixed control-state constraints..

Conference Contribution: Publication in Proceedings
  • T. Apel, A. Rösch, G. Winkler (2006) Discretization error estimates for an optimal control problem in a nonconvex domain., Numerical Mathematics and Advanced Applications, Proceedings of the ENUMATH 2005 the 6th European Conference on Numerical Mathematics and Advanced Applications , Santiago de Compostela, Spain; Berlin: Springer, S. 299-307.
  • Rösch, A. (2006) Finite Dimensional Approximation of Optimal Control Problems Governed by Partial Differential Equations., Proceedings of the 12th International Conference on Methods and Models in Automation and Robotics in Miedzyzdroje (Poland), S. 101-104.

Research Report
  • Rösch, A.; Vexler, B. (2005) Superconvergence in Finite Element Methods for the Optimal Control Problem of the Stokes Equations. Bericht-Nr. 2005-13; RICAM:. (link)