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Analysis of preconditioners for saddle-point problems

Abstract:

Mixed finite element formulations give rise to large, sparse, block linear systems of equations, the solution of which is often sought via a preconditioned iterative technique. In this work we present a general analysis of block-preconditioners based on the stability conditions inherited from the formulation of the finite element method (the Babuška-Brezzi, or inf-sup, conditions). The analysis is motivated by the notions of norm-equivalence and field-of-values-equivalence of matrices. In par...

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Publication status:
Published

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Publisher copy:
10.1137/S1064827502418203

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Journal:
SIAM JOURNAL ON SCIENTIFIC COMPUTING
Volume:
25
Issue:
6
Pages:
2029-2049
Publication date:
2004
DOI:
EISSN:
1095-7197
ISSN:
1064-8275
URN:
uuid:aa799608-7791-4b51-89d8-8fbe3b1505f9
Source identifiers:
188829
Local pid:
pubs:188829

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