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

✍ Scribed by Hae-Soo Oh; Bongsoo Jang; Yichung Jou

Publisher: John Wiley and Sons
Year: 2003
Tongue: English
Weight: 211 KB
Volume: 19
Category: Article
ISSN: 0749-159X
DOI: 10.1002/num.10049

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✦ Synopsis

Abstract

Recently Babus̆ka‐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. © 2003 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 19: 301–326, 2003.

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