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A robust all-at-once multigrid method for the Stokes control problem

Abstract:

In this paper we present an all-at-once multigrid method for a distributed Stokes control problem (velocity tracking problem). For solving such a problem, we use the fact that the solution is characterized by the optimality system (Karush-Kuhn-Tucker-system). The discretized optimality system is a large-scale linear system whose condition number depends on the grid size and on the choice of the regularization parameter forming a part of the problem. Recently, block-diagonal preconditioners ha...

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Stefan Takacs More by this author
Publication date:
2013-06-05
URN:
uuid:51788c1c-f1d8-42c9-854d-b3941956bedf
Local pid:
oai:eprints.maths.ox.ac.uk:1707

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