Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/91828
Title: Convergence rate analysis of a multiplicative Schwarz method for variational inequalities
Authors: Badea, Lori
Tai, Xue Cheng
Wang, Junping
Keywords: DRNTU::Science::Mathematics::Applied mathematics::Numerical analysis
Issue Date: 2003
Source: Badea, 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.
Series/Report no.: SIAM journal on numerical analysis
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.
URI: https://hdl.handle.net/10356/91828
http://hdl.handle.net/10220/6043
ISSN: 0036-1429
DOI: 10.1137/S0036142901393607.
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/
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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