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
Keywords

DOMAIN DECOMPOSITION METHOD; ENERGY MINIMIZATION; LINEAR ELASTICITY; MORTAR METHODS; BDDC; PRECONDITIONER; CONVERGENCE; CONSTRAINTS; DIMENSIONS; EQUATIONS

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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