ISSN 2234-8417 (Online) ISSN 1598-5857 (Print)

 2012's 30,3-4(May)

 Two-layer Muti-Parameterized Schwarz Alternating Method for two-dimensional problems By Sang-Bae Kim ..........1325

Generic Number - 1325
References - 0
Written Date - May 15th, 12
Modified Date - May 15th, 12
Visited Counts - 440

Original File
 Summary he convergence rate of a numerical procedure based on { Sch-warz Alternating Method}(SAM) for solving elliptic boundary value problems depends on the selection of the { interface conditions} applied on the interior boundaries of the overlapping subdomains. It has been observed that the mixed interface condition, controlled by a parameter, can optimize SAM's convergence rate. In \cite{Kim_paper2}, one introduced the {\em two-layer multi-parameterized SAM} and determined the optimal values of the multi-parame-ters to produce the best convergence rate for {\em one-dimensional} elliptic boundary value problems. In this paper, we present a method which utilizes the {\em one-dimensional} result to get the optimal convergence rate for the {\em two-dimensional} problem.

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http://www.springer.com/journal/12190
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