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Title:
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Convergence rate analysis of a multiplicative Schwarz method for variational inequalities.
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Author:
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Badea, Lori.; Tai, Xue Cheng.; Wang, Junping.
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Copyright year:
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2003 |
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Abstract:
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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. |
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Subject:
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DRNTU::Science::Mathematics::Applied mathematics::Numerical analysis. |
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Type:
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Journal Article |
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Series/ Journal Title:
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SIAM journal on numerical analysis |
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School:
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School of Physical and Mathematical Sciences |
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Rights:
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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/ |
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Version:
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Published version |
