On Schwarz-type smoothers for saddle point problems with applications to PDE-constrained optimization problems |
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Authors: | René Simon Walter Zulehner |
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Affiliation: | 1.SFB 013, Johannes Kepler University Linz,Linz,Austria;2.Institute of Computational Mathematics,Johannes Kepler University,Linz,Austria |
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Abstract: | In this paper we consider a (one-shot) multigrid strategy for solving the discretized optimality system (KKT system) of a PDE-constrained optimization problem. In particular, we discuss the construction of an additive Schwarz-type smoother for a certain class of optimal control problems. A rigorous multigrid convergence analysis is presented. Numerical experiments are shown which confirm the theoretical results. The work was supported by the Austrian Science Fund (FWF) under grant SFB 013/F1309. |
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Keywords: | KeywordHeading" >Mathematics Subject Classification (2000) 65N22 65N55 49M15 |
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