Premium
The weighted Ritz‐Galerkin method for elliptic boundary value problems on unbounded domains
Author(s) -
Oh HaeSoo,
Jang Bongsoo,
Jou Yichung
Publication year - 2003
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.10049
Subject(s) - mathematics , boundary value problem , galerkin method , finite element method , bounded function , ritz method , mathematical analysis , boundary (topology) , physics , thermodynamics
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.