Year: 2000
Author: Han-Lin Chen, Si-Long Peng
Journal of Computational Mathematics, Vol. 18 (2000), Iss. 5 : pp. 487–512
Abstract
In solving integral equations with logarithmic kernel which arises from the boundary integral equation reformulation of some boundary value problems for the two dimensional Helmholtz equation, we combine the Galerkin method with Beylkin's ([2]) approach, series of dense and nonsymmetric matrices may appear if we use traditional method. By appealing the so-called periodic quasi-wavelet (PQW in abbr.) ([5]), some of these matrices become diagonal, therefore we can find an algorithm with only $O(K(m)^2)$ arithmetic operations where $m$ is the highest level. The Galerkin approximation has a polynomial rate of convergence.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2000-JCM-9061
Journal of Computational Mathematics, Vol. 18 (2000), Iss. 5 : pp. 487–512
Published online: 2000-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 26
Keywords: Periodic Quasi-Wavelet