A fast numerical method for integral equations of the first kind with logarithmic kernel using mesh grading

Qi Yuan Chen*, Tao TANG, Zhen Huan Teng

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)287-298
Number of pages12
JournalJournal of Computational Mathematics
Volume22
Issue number2
Publication statusPublished - Mar 2004

Scopus Subject Areas

  • Computational Mathematics

User-Defined Keywords

  • Fast numerical method
  • Integral equations
  • Mesh grading

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