Artificial boundary conditions to compute correctors in linear elasticity

Virginie Bonnaillie-Noël (1) , Delphine Brancherie (2) , Marc Dambrine (3) , Grégory Vial (4, 5, 6)

1 IRMAR - Institut de Recherche Mathématique de Rennes
2 Roberval - Roberval
3 LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau]
4 ICJ - Institut Camille Jordan
5 MMCS - Modélisation mathématique, calcul scientifique
6 ECL - École Centrale de Lyon

In this paper, we derive artificial boundary conditions for the computation of correcting terms in a perturbed problem of linear elasticity. Theses conditions appear to be of Ventcel form, and lead to a non-coercive boundary value problem.

Mots clés: linear elasticity equations; transparent boundary conditions

Domaines: Analyse numérique [math.NA]

Virginie Bonnaillie-Noël, Delphine Brancherie, Marc Dambrine, Grégory Vial. Artificial boundary conditions to compute correctors in linear elasticity. Numerical Analysis and Applications, 2012, 5 (2), pp.129-135. ⟨10.1134/S199542391202005X⟩. ⟨hal-00951567⟩