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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2012, Volume 15, Number 2, Pages 157–164
(Mi sjvm466)
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Artificial boundary conditions to compute correctors in linear elasticity
V. Bonnaillie-Noëlabcd, D. Brancheriede, M. Dambrinedf, G. Vialghd 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.
Received: 24.10.2011
Citation:
V. Bonnaillie-Noël, D. Brancherie, M. Dambrine, G. Vial, “Artificial boundary conditions to compute correctors in linear elasticity”, Sib. Zh. Vychisl. Mat., 15:2 (2012), 157–164; Num. Anal. Appl., 5:2 (2012), 129–135
Linking options:
https://www.mathnet.ru/eng/sjvm466 https://www.mathnet.ru/eng/sjvm/v15/i2/p157
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Statistics & downloads: |
Abstract page: | 179 | Full-text PDF : | 56 | References: | 41 | First page: | 2 |
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