## 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 singularit
Evidence for triangle singularities?
β Scribed by M. Month
- Publisher
- Elsevier Science
- Year
- 1965
- Weight
- 235 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0031-9163
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π SIMILAR VOLUMES
The present paper studies in a uniΓΏed 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
This paper is about the problem of determining whether singularities can develop from analytic initial conditions in the Euler flow of three-dimensional hydrodynamics. The evidence is supplied by previous numerical simulations. To provide a guide for interpreting this numerical output, a theory base