Extrapolation for the Approximations to the Solution of a Boundary Integral Equation on Polygonal Domains
Year: 1989
Author: Qun Lin, Rui-Feng Xie
Journal of Computational Mathematics, Vol. 7 (1989), Iss. 2 : pp. 174–181
Abstract
In this paper, we consider a boundary integral equation of second kind rising from potential theory. The equation may be solved numerically by Galerkin's method using piecewise constant functions. Because of the singularities produced by the corners, we have to grade the mesh near the corner. In general, Chandler obtained the order 2 superconvergence of the iterated Galerkin solution in the uniform norm. It is proved in this paper that the Richardson extrapolation increases the accuracy from order 2 to order 4.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1989-JCM-9467
Journal of Computational Mathematics, Vol. 7 (1989), Iss. 2 : pp. 174–181
Published online: 1989-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8