1MSME - Laboratoire de Modélisation et Simulation Multi Echelle (Université Paris-Est, 5 Bd Descartes, 77454 Marne-la-Vallée, Cedex 2
Université Paris-Est Créteil Val de Marne (UPEC) Faculté des Sciences et Technologie - Equipe de Biomécanique
61 avenue du général de Gaulle 94010 Créteil Cedex - France)
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.
https://hal-upec-upem.archives-ouvertes.fr/hal-00691099
Contributor : Guy Bonnet <>
Submitted on : Monday, February 1, 2016 - 12:26:07 PM Last modification on : Thursday, March 19, 2020 - 11:52:04 AM Long-term archiving on: : Friday, November 11, 2016 - 6:33:39 PM
Guy Bonnet. A general regularization of the hypersingular integrals in the symmetric Galerkin boundary element method. International Journal for Numerical Methods in Engineering, Wiley, 2009, 80 (8), pp.1110-1123. ⟨10.1002/nme.2658⟩. ⟨hal-00691099⟩