Singular cubature over triangles
โ Scribed by J. A. Liggett
- Publisher
- John Wiley and Sons
- Year
- 1982
- Tongue
- English
- Weight
- 353 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0029-5981
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โฆ Synopsis
Abstract
Integration over triangles where the integrand contains a singularity at one of the vertices is considered in this paper. The applications for such problems arise in using the boundary element method. Low order formulae are presented and compared to previous methods where the singularity was not considered.
๐ SIMILAR VOLUMES
The present paper studies in a uniรฟed way the numerical computation of integrals over triangles with weak singularities arising from the ln r and 1=r kernels present in the boundary element method by mapping the triangle into a square and thus obtaining a regularizing e ect. Three types of co-ordina
## Abstract If three points on a circle are rotated around the circle in such a way that the lengths of two sides of the triangle they define do not change, then neither does the length of the third side. If instead of a circle we consider the unit sphere of a norm in a twoโdimensional normed space