dc.contributor.author Li, Jing dc.contributor.author Tu, Xuemin dc.date.accessioned 2014-07-07T15:20:37Z dc.date.available 2014-07-07T15:20:37Z dc.date.issued 2013 dc.identifier.citation Jing Li, Xuemin Tu. (2013). A non-overlapping domain decomposition method for incompressible Stokes equations with continuous pressures. SIAM Journal on Numerical Analysis 51:1235-1253. http://www.dx.doi.org/10.1137/120861503 dc.identifier.issn 0036-1429 dc.identifier.uri http://hdl.handle.net/1808/14626 dc.description This is the publisher's version, also available electronically from http://epubs.siam.org/doi/abs/10.1137/120861503 dc.description.abstract A nonoverlapping domain decomposition algorithm is proposed to solve the linear system arising from mixed finite element approximation of incompressible Stokes equations. A continuous finite element space for the pressure is used. In the proposed algorithm, Lagrange multipliers are used to enforce continuity of the velocity component across the subdomain boundary. The continuity of the pressure component is enforced in the primal form, i.e., neighboring subdomains share the same pressure degrees of freedom on the subdomain interface and no Lagrange multipliers are needed. After eliminating all velocity variables and the independent subdomain interior parts of the pressures, a symmetric positive semidefinite linear system for the subdomain boundary pressures and the Lagrange multipliers is formed and solved by a preconditioned conjugate gradient method. A lumped preconditioner is studied and the condition number bound of the preconditioned operator is proved to be independent of the number of subdomains for fixed subdomain problem size. Numerical experiments demonstrate the convergence rate of the proposed algorithm. dc.publisher Society for Industrial and Applied Mathematics dc.subject Domain decomposition dc.subject Incompressible stokes dc.subject Feti-dp dc.subject Bddc dc.title A Nonoverlapping Domain Decomposition Method for Incompressible Stokes Equations with Continuous Pressures dc.type Article kusw.kuauthor Tu, Xuemin kusw.kudepartment Mathematics kusw.oastatus fullparticipation dc.identifier.doi 10.1137/120861503 kusw.oaversion Scholarly/refereed, publisher version kusw.oapolicy This item meets KU Open Access policy criteria. dc.rights.accessrights openAccess
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