A Preconditioner for FETI-DP Method of Stokes Problem with Mortar-Type CR(h)-P0(h) Discretization

A Preconditioner for FETI-DP Method of Stokes Problem with Mortar-Type CR(h)-P0(h) Discretization

FETI-DP method is developed for incompressible Stokes problem discretized by mortar-type CR(h)−P0(h) mixed elements. A preconditioner is proposed, and it is proved that the condition number of the preconditioned FETI-DP operator is bounded by (1+log(H/h))2, where H and h are mesh sizes. Finally, the...

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Main Author: Chunmei Wang
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2013/485628
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spelling doaj-293f90d989274680a36b187f59d1a6052020-11-25T00:18:54ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472013-01-01201310.1155/2013/485628485628A Preconditioner for FETI-DP Method of Stokes Problem with Mortar-Type CR(h)-P0(h) DiscretizationChunmei Wang0Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, ChinaFETI-DP method is developed for incompressible Stokes problem discretized by mortar-type CR(h)−P0(h) mixed elements. A preconditioner is proposed, and it is proved that the condition number of the preconditioned FETI-DP operator is bounded by (1+log(H/h))2, where H and h are mesh sizes. Finally, the numerical tests are presented to verify the theoretical results.http://dx.doi.org/10.1155/2013/485628
collection DOAJ
language English
format Article
sources DOAJ
author Chunmei Wang
spellingShingle Chunmei Wang
A Preconditioner for FETI-DP Method of Stokes Problem with Mortar-Type CR(h)-P0(h) Discretization
Mathematical Problems in Engineering
author_facet Chunmei Wang
author_sort Chunmei Wang
title A Preconditioner for FETI-DP Method of Stokes Problem with Mortar-Type CR(h)-P0(h) Discretization
title_short A Preconditioner for FETI-DP Method of Stokes Problem with Mortar-Type CR(h)-P0(h) Discretization
title_full A Preconditioner for FETI-DP Method of Stokes Problem with Mortar-Type CR(h)-P0(h) Discretization
title_fullStr A Preconditioner for FETI-DP Method of Stokes Problem with Mortar-Type CR(h)-P0(h) Discretization
title_full_unstemmed A Preconditioner for FETI-DP Method of Stokes Problem with Mortar-Type CR(h)-P0(h) Discretization
title_sort preconditioner for feti-dp method of stokes problem with mortar-type cr(h)-p0(h) discretization
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2013-01-01
description FETI-DP method is developed for incompressible Stokes problem discretized by mortar-type CR(h)−P0(h) mixed elements. A preconditioner is proposed, and it is proved that the condition number of the preconditioned FETI-DP operator is bounded by (1+log(H/h))2, where H and h are mesh sizes. Finally, the numerical tests are presented to verify the theoretical results.
url http://dx.doi.org/10.1155/2013/485628
work_keys_str_mv AT chunmeiwang apreconditionerforfetidpmethodofstokesproblemwithmortartypecrhp0hdiscretization
AT chunmeiwang preconditionerforfetidpmethodofstokesproblemwithmortartypecrhp0hdiscretization
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