Premium
A general regularization of the hypersingular integrals in the symmetric Galerkin boundary element method
Author(s) -
Bonnet G.
Publication year - 2009
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.2658
Subject(s) - mathematics , boundary element method , mathematical analysis , discretization , symmetric tensor , galerkin method , regularization (linguistics) , operator (biology) , boundary value problem , finite element method , exact solutions in general relativity , physics , computer science , biochemistry , chemistry , repressor , artificial intelligence , transcription factor , gene , thermodynamics
Abstract The symmetric Galerkin boundary element method is used to solve boundary value problems by keeping the symmetric nature of the matrix obtained after discretization. The matrix elements are obtained from a double integral involving the double derivative of Green's operator, which is highly singular. The paper presents a regularization of the hypersingular integrals which depend only on the properties of Green's tensor. The method is presented in the case of Laplace's operator, with an example of application. The case of elasticity is finally addressed theoretically, showing an easy extension to any case of anisotropy. Copyright © 2009 John Wiley & Sons, Ltd.