A Robust Multigrid Method for Elliptic Optimal Control Problems

Abstract

We consider the discretized optimality system of a special class of elliptic optimal control problems and propose an all-at-once multigrid method for solving this discretized system. Under standard assumptions the convergence of the multigrid method and the robustness of the convergence rates with respect to the involved parameter are shown. Numerical… (More)
DOI: 10.1137/100783285

Topics

6 Figures and Tables

Cite this paper

@article{Schberl2011ARM, title={A Robust Multigrid Method for Elliptic Optimal Control Problems}, author={Joachim Sch{\"o}berl and Ren{\'e} Simon and Walter Zulehner}, journal={SIAM J. Numerical Analysis}, year={2011}, volume={49}, pages={1482-1503} }