dc.contributor.author Tu, Xuemin dc.contributor.author Li, Jing dc.date.accessioned 2016-12-19T21:58:03Z dc.date.available 2016-12-19T21:58:03Z dc.date.issued 2015-03-03 dc.identifier.citation Tu, X., & Li, J. (2015). A FETI-DP Type Domain Decomposition Algorithm for Three-Dimensional Incompressible Stokes Equations. SIAM Journal on Numerical Analysis, 53(2), 720-742. doi:10.1137/13094997x en_US dc.identifier.uri http://hdl.handle.net/1808/22269 dc.description.abstract The FETI-DP (dual-primal finite element tearing and interconnecting) algorithms, en_US proposed by the authors in [SIAM J. Numer. Anal., 51 (2013), pp. 1235–1253] and [Internat. J. Numer. Methods Engrg., 94 (2013), pp. 128–149] for solving incompressible Stokes equations, are extended to three-dimensional problems. A new analysis of the condition number bound for using the Dirichlet preconditioner is given. The algorithm and analysis are valid for mixed finite elements with both continuous and discontinuous pressures. An advantage of this new analysis is that the numerous coarse level velocity components, required in the previous analysis to enforce the divergence-free subdomain boundary velocity conditions, are no longer needed. This greatly reduces the size of the coarse level problem in the algorithm, especially for three-dimensional problems. The coarse level velocity space can be chosen as simple as those coarse spaces for solving scalar elliptic problems corresponding to each velocity component. Both the Dirichlet and lumped preconditioners are analyzed using the same framework in this new analysis. Their condition number bounds are proved to be independent of the number of subdomains for fixed subdomain problem size. Numerical experiments in both two and three dimensions, using mixed finite elements with both continuous and discontinuous pressures, demonstrate the convergence rate of the algorithms. dc.publisher Society for Industrial and Applied Mathematics en_US dc.rights Copyright © by SIAM. Unauthorized reproduction of this article is prohibited. en_US dc.subject Domain Decomposition en_US dc.subject Incompressible Strokes en_US dc.subject FETI-DP en_US dc.subject BDDC en_US dc.subject Divergence-Free en_US dc.title A FETI-DP TYPE DOMAIN DECOMPOSITION ALGORITHM FOR THREE-DIMENSIONAL INCOMPRESSIBLE STOKES EQUATIONS en_US dc.type Article en_US kusw.kuauthor Tu, Xuemin kusw.kudepartment Mathematics en_US dc.identifier.doi 10.1137/13094997X en_US kusw.oaversion Scholarly/refereed, publisher version en_US kusw.oapolicy This item meets KU Open Access policy criteria. en_US dc.rights.accessrights openAccess
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