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Weakly singular 2D quadratures for some fundamental solutions

  • Friedrich-Alexander University Erlangen-Nürnberg

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

The paper deals with numerical integration of weakly singular integrals arising in 2D BEM. In all, three fundamental solutions are addressed: steady state conduction in moving bodies, axisymmetric potential and axisymmetric elasticity. It is shown how these fundamental solutions can be rearranged to a form suitable for logarithmically weighted Gaussian integration. An algorithm of evaluating weakly singular integrals for arbitrary location of the singular point is described.

Original languageEnglish
Pages (from-to)333-336
Number of pages4
JournalEngineering Analysis with Boundary Elements
Volume18
Issue number4
DOIs
Publication statusPublished - Dec 1996

Keywords

  • Boundary element method
  • Numerical integration
  • Weakly singular integrals

ASJC Scopus subject areas

  • Analysis
  • General Engineering
  • Computational Mathematics
  • Applied Mathematics

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