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Regularization of nearly singular integrals in the boundary element method of potential problems

โœ Scribed by Zhou Huan-lin; Niu Zhong-rong; Wang Xiu-xi


Publisher
Springer
Year
2003
Tongue
English
Weight
351 KB
Volume
24
Category
Article
ISSN
0253-4827

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๐Ÿ“œ SIMILAR VOLUMES


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The paper concentrates on the numerical evaluation of nearly singular kernel integrals commonly encountered in boundary element analysis. Limitations of the method developed recently by Huang and Cruse (1993) for the direct evaluation of nearly singular kernel integrals are analysed and pointed out.

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Strongly singular integrals which are unbounded in the sense of Lebesgue appear naturally in boundary integral equations. Extending the analytic continuation method we derive finite part values for a class of singular integrals which arise frequently in practice. In connection with boundary integral

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The paper attempts to improve the efficiency of a general method developed previously for computing nearly singular kernel integrals. Three new formulations are presented by following an approach similar to that used in the previous method. Their numerical efficiency is compared with the previous me

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## Abstract The symmetric Galerkin boundary element method is used to solve boundary value problems by keeping the symmetric nature of the matrix obtained after discretization. The matrix elements are obtained from a double integral involving the double derivative of Green's operator, which is high

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โœ Xianyun Qin; Jianming Zhang; Guizhong Xie; Fenglin Zhou; Guanyao Li ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 872 KB

A general numerical method is proposed to compute nearly singular integrals arising in the boundary integral equations (BIEs). The method provides a new implementation of the conventional distance transformation technique to make the result stable and accurate no matter where the projection point is