Comptes Rendus
no. 8
Numerical Analysis
Influence coefficients for variational integral equations

Presented by: Philippe G. Ciarlet

Marc Lenoir1
1 POems UMR 2706 du CNRS & ENSTA UMA, 32, boulevard Victor, 75739 Paris cedex 15, France
Comptes Rendus. Mathématique, Volume 343 (2006) no. 8, pp. 561-564.

We compute exact formulas for the influence coefficients deriving from the finite element discretization of integral equation methods. We consider the case of the Newtonian potential and plane triangles of the lower degree.

Nous établissons des formules exactes pour les coefficients d'influence issus de la discrétisation par éléments finis des méthodes d'équations intégrales, dans le cas du potentiel Newtonien et de triangles plans du plus bas degré.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2006.09.020

Marc Lenoir 1

1 POems UMR 2706 du CNRS & ENSTA UMA, 32, boulevard Victor, 75739 Paris cedex 15, France 
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Marc Lenoir. Influence coefficients for variational integral equations. Comptes Rendus. Mathématique, Volume 343 (2006) no. 8, pp. 561-564. doi : 10.1016/j.crma.2006.09.020. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2006.09.020/

[1] S. Erichsen; S. Sauter Efficient automatic quadrature in 3-D Galerkin BEM, Comput. Methods Appl. Mech. Eng., Volume 157 (1998), pp. 215-224

[2] J.-C. Nédélec Acoustic and Electromagnetic Equations, Applied Mathematical Sciences, vol. 144, Springer, 2001

[3] D. Rosen; D.E. Cormack Singular and near singular integrals, SIAM J. Appl. Math., Volume 53 (1993) no. 2, pp. 340-357

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