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Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 485628, 11 pages
Research Article

A Preconditioner for FETI-DP Method of Stokes Problem with Mortar-Type Discretization

1Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, China
2Nanjing Normal University Taizhou College, Taizhou 225300, China

Received 19 October 2012; Revised 21 February 2013; Accepted 21 February 2013

Academic Editor: Salvatore Alfonzetti

Copyright © 2013 Chunmei Wang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


FETI-DP method is developed for incompressible Stokes problem discretized by mortar-type mixed elements. A preconditioner is proposed, and it is proved that the condition number of the preconditioned FETI-DP operator is bounded by , where and are mesh sizes. Finally, the numerical tests are presented to verify the theoretical results.