Numerical solution of an exterior Neumann problem using a double layer potential-Reference-Cited by-同舟云学术

Numerical solution of an exterior Neumann problem using a double layer potential

Published:1978 Issue:144 Volume:32 Page:973-990
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Giroire J.,Nédélec J.-C.

Abstract

We give here a variational formulation in H 1 / 2 ( Γ ) / R {H^{1/2}}(\Gamma )/R of the exterior Neumann problem for the Laplace operator using a double layer potential. This formulation is then applied to the construction of a finite element method. Optimal error estimates are given.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1978-32-144/S0025-5718-1978-0495015-8/S0025-5718-1978-0495015-8.pdf

Reference17 articles.

1. Studies in Mathematics and its Applications, Vol. 4;Ciarlet, Philippe G.,1978

2. General Lagrange and Hermite interpolation in 𝑅ⁿ with applications to finite element methods;Ciarlet, P. G.;Arch. Rational Mech. Anal.,1972

3. M. DJAOUA, Méthode d’Éléments Finis pour la Résolution d’un problème extérieur dans 𝐑³ , Rapport Interne du Centre de Mathématiques Appliquées de l’Ecole Polytechnique, no. 3, 1975.

4. J. GIROIRE, Formulation Variationnelle par Équations Intégrales de Problèmes aux Limites Extérieurs, Rapport Interne du Centre de Mathématiques Appliquées de l’Ecole Polytechnique, no. 6, 1976.

5. J. GIROIRE, Mise en Oeuvre Numérique de la Résolution par Potentiel de Double Couche du Probleme de Neumann Extérieur, Rapport Interne du Centre de Mathématiques Appliquées de l’Ecole Polytechnique. (To appear.)

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