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Efficient smoothers for all-at-once multigrid methods for Poisson and Stokes control problems

Abstract:

In the present paper we concentrate on an important issue in constructing a good multigrid solver: the choice of an efficient smoother. We will introduce all-at-once multigrid solvers for optimal control problems which show robust convergence in the grid size and in the regularization parameter. We will refer to recent publications that guarantee such a convergence behavior. These publications do not pay much attention to the construction of the smoother and suggest to use a normal equation s...

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Publication date:
2013-10-01
UUID:
uuid:09309a96-ecb5-408e-aa50-3cc5ed7bac1f
Local pid:
oai:eprints.maths.ox.ac.uk:1756
Deposit date:
2013-10-31

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