A Preconditioner for FETI-DP Method of Stokes Problem with Mortar-TypeCR(h)-P0(h)Discretization-Reference-Cited by-同舟云学术

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

Published:2013 Issue: Volume:2013 Page:1-11
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Wang Chunmei¹²

Affiliation:

1. Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, China

2. Nanjing Normal University Taizhou College, Taizhou 225300, China

Abstract

FETI-DP method is developed for incompressible Stokes problem discretized by mortar-typeCR(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, whereHandhare mesh sizes. Finally, the numerical tests are presented to verify the theoretical results.

Funder

National Science Foundation

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2013/485628.pdf

Reference19 articles.

1. A FETI-DP Formulation of Three Dimensional Elasticity Problems with Mortar Discretization

2. Dual-Primal FETI Methods for Three-Dimensional Elliptic Problems with Heterogeneous Coefficients

3. Dual-primal FETI methods for linear elasticity

4. A Dual-Primal FETI method for incompressible Stokes equations

5. Inexact FETI-DP methods

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