A Fast Numerical Method for Integral Equations of the First Kind with Logarithmic Kernel Using Mesh Grading
Year: 2004
Author: Qiyuan Chen, Tao Tang, Zhenhuan Teng
Journal of Computational Mathematics, Vol. 22 (2004), Iss. 2 : pp. 287–298
Abstract
The aim of this paper is to develop a fast numerical method for two-dimensional boundary integral equations of the first kind with logarithm kernels when the boundary of the domain is smooth and closed. In this case, the use of the conventional boundary element methods gives linear systems with dense matrix. In this paper, we demonstrate that the dense matrix can be replaced by a sparse one if appropriate graded meshes are used in the quadrature rules. It will be demonstrated that this technique can increase the numerical efficiency significantly.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2004-JCM-10329
Journal of Computational Mathematics, Vol. 22 (2004), Iss. 2 : pp. 287–298
Published online: 2004-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Integral equations Mesh grading Fast numerical method.