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Block triangular preconditioners for PDE constrained optimization

Abstract:

In this paper we investigate the possibility of using a block triangular preconditioner for saddle point problems arising in PDE constrained optimization. In particular we focus on a conjugate gradient-type method introduced by Bramble and Pasciak which uses self adjointness of the preconditioned system in a non-standard inner product. We show when the Chebyshev semi-iteration is used as a preconditioner for the relevant matrix blocks involving the finite element mass matrix that the main dra...

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Martin Stoll More by this author
Tyrone Rees More by this author
Publication date:
2009
URN:
uuid:ee57a575-1a29-4ba8-ae8b-edddaacf54b5
Local pid:
oai:eprints.maths.ox.ac.uk:805

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