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Singular cubature over triangles
Author(s) -
Liggett J. A.
Publication year - 1982
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620180909
Subject(s) - singularity , mathematics , boundary element method , boundary (topology) , element (criminal law) , order (exchange) , mathematical analysis , geometry , finite element method , engineering , structural engineering , law , finance , political science , economics
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.