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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2012, Volume 15, Number 2, Pages 157–164 (Mi sjvm466)  
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
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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
English version:
Numerical Analysis and Applications, 2012, Volume 5, Issue 2, Pages 129–135
DOI: https://doi.org/10.1134/S199542391202005X
Bibliographic databases:
Document Type: Article
MSC: 74S05, 35J25, 65N99
Language: Russian
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
Citation in format AMSBIB
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\by V.~Bonnaillie-No\"el, D.~Brancherie, M.~Dambrine, G.~Vial
\paper Artificial boundary conditions to compute correctors in linear elasticity
\jour Sib. Zh. Vychisl. Mat.
\yr 2012
\vol 15
\issue 2
\pages 157--164
\mathnet{http://mi.mathnet.ru/sjvm466}
\transl
\jour Num. Anal. Appl.
\yr 2012
\vol 5
\issue 2
\pages 129--135
\crossref{https://doi.org/10.1134/S199542391202005X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862122347}
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