SINGULARITIES IN BOUNDARY ELEMENT METHODS
Zhu Jialin Department of Natural Science
DOI:10.11835/j.issn.1674-4764.1991.02.013
Received ,Revised , Accepted , Available online July 01, 2015
Volume ,1991,Pages -
- Abstract
This paper presents an all round review of recent deve-lopments in treating the singularities in boundary element methods bothfor numerical computing and for mathematical analysing.Approachesfor numerical treatment of singular and hyper-singular integrations arelisted.Singular behaviour of solution on non-smooth boundary are discus-sed and the mathematical tools for describing it,such as the Sobolevspaces defined on a part of boundary,the pseudo-differential operatorsare presented.In order to incorporate the singular behaviour into theboundary element approximation,the technique of introducing singularboundary element is suggested.