A general regularization of the hypersingular integrals in the symmetric Galerkin boundary element methodReport as inadecuate




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1 MSME - Laboratoire de Modélisation et Simulation Multi Echelle

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.

Keywords : symmetric Galerkin boundary element method Green-s function finite element integral equation





Author: Guy Bonnet -

Source: https://hal.archives-ouvertes.fr/



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