A FETI-DP FORMULATION FOR THE THREE-DIMENSIONAL STOKES PROBLEM WITHOUT PRIMAL PRESSURE UNKNOWNS

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A FETI-DP (dual-primal finite element tearing and interconnecting) algorithm for the three-dimensional Stokes problem is developed and analyzed. This is an extension of the previous work for the two-dimensional problem in [H. H. Kim, C.-O. Lee, and E.-H. Park, SIAM J. Numer. Anal., 47 (2010), pp. 4142-4162]. Advantages of this approach are the coarse problem without primal pressure unknowns and the use of a computationally cheap lumped preconditioner. Especially in three dimensions, these advantages provide a more practical FETI-DP algorithm. In three dimensions, the velocity unknowns at subdomain corners and the averages of velocity unknowns over common faces are selected as the primal unknowns in the FETI-DP formulation. Its condition number bound is analyzed to be CH/h, where C is a positive constant which is independent of any mesh parameters and H/h is the number of elements across each subdomain. Numerical results are included.
Publisher
SIAM PUBLICATIONS
Issue Date
2010
Language
English
Article Type
Article
Citation

SIAM JOURNAL ON SCIENTIFIC COMPUTING, v.32, no.6, pp.3301 - 3322

ISSN
1064-8275
DOI
10.1137/090777335
URI
http://hdl.handle.net/10203/98550
Appears in Collection
MA-Journal Papers(저널논문)
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