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dc.contributor.authorBadea, Lorien
dc.contributor.authorTai, Xue Chengen
dc.contributor.authorWang, Junpingen
dc.identifier.citationBadea, L., Tai, X. C., & Wang, J. (2003). Convergence rate analysis of a multiplicative Schwarz method for variational inequalities. SIAM Journal on Numerical Analysis, 41(3), 1052-1073.en
dc.description.abstractThis paper derives a linear convergence for the Schwarz overlapping domain decomposition method when applied to constrained minimization problems. The convergence analysis is based on a minimization approach to the corresponding functional over a convex set. A general framework of convergence is established for some multiplicative Schwarz algorithm. The abstract theory is particularly applied to some obstacle problems, which yields a linear convergence for the corresponding Schwarz overlapping domain decomposition method of one and two levels. Numerical experiments are presented to confirm the convergence estimate derived in this paper.en
dc.format.extent22 p.en
dc.relation.ispartofseriesSIAM journal on numerical analysisen
dc.rightsSIAM Journal on Numerical Analysis © copyright 2003 Siam Society for Industrial and Applied. The journal's website is located at
dc.subjectDRNTU::Science::Mathematics::Applied mathematics::Numerical analysisen
dc.titleConvergence rate analysis of a multiplicative Schwarz method for variational inequalitiesen
dc.typeJournal Articleen
dc.contributor.schoolSchool of Physical and Mathematical Sciencesen
dc.description.versionPublished versionen
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