V. Bonnaillie-Noël, D. Brancherie, M. Dambrine, G. Vial, “Artificial boundary conditions to compute correctors in linear elasticity”, Sib. Zh. Vychisl. Mat., 2012, Volume 15, Number 2,Pages <nobr>157

Artificial boundary conditions to compute correctors in linear elasticity

V. Bonnaillie-Noël^abcd, D. Brancherie^de, M. Dambrine^df, G. Vial^ghd

^a Institut de Recherche Mathematique de Rennes, Rennes, France
^b ENS Cachan Bretagne, Bruz, France
^c Universite de Rennes 1, Rennes, France
^d Centre National de la Recherche Scientifique, Paris, France
^e Roberval, Universite de Technologie de Compiegne, Compiegne, France
^f LMA, Universite de Pau et des Pays de l'Adour, Pau, France
^g Institut Camile Jordan, Villeurbanne, France
^h Ecole Centrale de Lyon, Ecully, France

Abstract: We present the derivation of a transparent boundary condition of order two to solve the equations of linear elasticity in a half plane. The resolution of the boundary value problem leads to a noncoercive variational formulation. We also present some numerical examples.

Key words: linear elasticity equations, transparent boundary conditions.

MSC: 74S05, 35J25, 65N99

Received: 24.10.2011