Analysis of preconditioners for saddle-point problems

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 for...

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Main Authors: Loghin, D, Wathen, A
Format: Report
Published: Unspecified 2002
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author Loghin, D
Wathen, A
author_facet Loghin, D
Wathen, A
author_sort Loghin, D
collection OXFORD
description 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 Babuska-Brezzi, or inf-sup conditions).
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spelling oxford-uuid:06042bc2-649b-4c2d-ad5e-39578f10edcc2022-03-26T09:00:22ZAnalysis of preconditioners for saddle-point problemsReporthttp://purl.org/coar/resource_type/c_93fcuuid:06042bc2-649b-4c2d-ad5e-39578f10edccMathematical Institute - ePrintsUnspecified2002Loghin, DWathen, AMixed 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 Babuska-Brezzi, or inf-sup conditions).
spellingShingle Loghin, D
Wathen, A
Analysis of preconditioners for saddle-point problems
title Analysis of preconditioners for saddle-point problems
title_full Analysis of preconditioners for saddle-point problems
title_fullStr Analysis of preconditioners for saddle-point problems
title_full_unstemmed Analysis of preconditioners for saddle-point problems
title_short Analysis of preconditioners for saddle-point problems
title_sort analysis of preconditioners for saddle point problems
work_keys_str_mv AT loghind analysisofpreconditionersforsaddlepointproblems
AT wathena analysisofpreconditionersforsaddlepointproblems