Analytical evaluation of the BEM singular integrals for 3D Laplace and Stokes flow equations using coordinate transformation

Qinlong Ren, Cho Lik Chan

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

It is well-known that singular integrals arise when the source point and field point are in the same element in boundary element method. To improve the accuracy, analytical evaluation of the singular integral should be carried out whenever possible. However, the analytical formulas for the BEM singular integrals are always quite complicated in 3D problems. In this paper, by applying a coordinate transformation, the analytical formulas of the singular integrals for 3D Laplace's and Stokes flow equations are obtained for arbitrary triangular boundary elements with constant elements approximation. In addition, numerical examples will be presented to demonstrate the improvement on accuracy.

Original languageEnglish (US)
Pages (from-to)1-8
Number of pages8
JournalEngineering Analysis with Boundary Elements
Volume53
DOIs
StatePublished - Apr 2015

Keywords

  • Analytical integration
  • Boundary element method
  • Coordinate transformation
  • Laplace's equation
  • Stokes flow

ASJC Scopus subject areas

  • Analysis
  • Engineering(all)
  • Computational Mathematics
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Analytical evaluation of the BEM singular integrals for 3D Laplace and Stokes flow equations using coordinate transformation'. Together they form a unique fingerprint.

  • Cite this