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• W2003751325 abstract "The optimized Schwarz method and the closely related 2-Lagrange multiplier method are domain decomposition methods which can be used to parallelize the solution of partial differential equations. Although these methods are known to work well in special cases (e.g., when the domain is a square and the two subdomains are rectangles), the problem has never been systematically stated nor analyzed for general domains with general subdomains. The problem of cross points (when three or more subdomains meet at a single vertex) has been particularly vexing. We introduce a 2-Lagrange multiplier method for domain decompositions with cross points. We estimate the condition number of the iteration and provide an optimized Robin parameter for general domains. We hope that this new systematic theory will allow broader utilization of optimized Schwarz and 2-Lagrange multiplier preconditioners." @default.
• W2003751325 created "2016-06-24" @default.
• W2003751325 creator A5070836239 @default.
• W2003751325 date "2013-01-01" @default.
• W2003751325 modified "2023-09-25" @default.
• W2003751325 title "Condition Number Estimates for the Nonoverlapping Optimized Schwarz Method and the 2-Lagrange Multiplier Method for General Domains and Cross Points" @default.
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• W2003751325 doi "https://doi.org/10.1137/100803316" @default.
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