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Convergence rate analysis of a multiplicative Schwarz method for variational inequalities.

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Convergence rate analysis of a multiplicative Schwarz method for variational inequalities.

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Title: Convergence rate analysis of a multiplicative Schwarz method for variational inequalities.
Author: Badea, Lori.; Tai, Xue Cheng.; Wang, Junping.
Copyright year: 2003
Abstract: This 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.
Subject: DRNTU::Science::Mathematics::Applied mathematics::Numerical analysis.
Type: Journal Article
Series/ Journal Title: SIAM journal on numerical analysis
School: School of Physical and Mathematical Sciences
Rights: SIAM Journal on Numerical Analysis © copyright 2003 Siam Society for Industrial and Applied. The journal's website is located at http://www.siam.org/journals/
Version: Published version

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