Optimized Schwarz Method for Poisson’s Equation in Rectangular Domains
An analysis of the convergence properties of Optimized Schwarz methods applied as solvers for Poisson’s Equation in a bounded rectangular domain with Dirichlet (physical) boundary conditions and Robin transmission conditions on the artificial boundaries is presented. To our knowledge this is the first time that this is done for multiple subdomains forming a 2D array in a bounded domain.
The author J. C. Garay was supported in part by the U.S. Department of Energy under grant DE-SC0016578. The author D. B. Szyld was supported in part by the U.S. National Science Foundation under grant DMS-1418882 and the U.S. Department of Energy under grant DE-SC0016578.
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