ScholarWorks: The weighted Ritz-Galerkin method for elliptic boundary value problems on unbounded domains

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Computational Mathematical Science Lab (CMS Lab)

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The weighted Ritz-Galerkin method for elliptic boundary value problems on unbounded domains

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Title: The weighted Ritz-Galerkin method for elliptic boundary value problems on unbounded domains

Citation: NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, v.19, no.3, pp.301 - 326

Abstract: Recently Babuška-Oh introduced the method of auxiliary mapping (MAM) which efficiently handles elliptic boundary value problems containing singularities. In this paper, a special weighted residue method, the Weighted Ritz-Galerkin Method (WRGM), is investigated by introducing special weight functions. Together with this method, MAM is modified to yield highly accurate finite element solutions to general elliptic boundary value problems on the exterior of bounded domains at low cost.