Geodesic
Artificial boundary conditions to compute correctors in linear elasticity
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 15 (2012) no. 2, pp. 157-164

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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. 
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     author = {V. Bonnaillie-No\"el and D. Brancherie and M. Dambrine and G. Vial},
     title = {Artificial boundary conditions to compute correctors in linear elasticity},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {157--164},
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     volume = {15},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2012_15_2_a4/}
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V. Bonnaillie-Noël; D. Brancherie; M. Dambrine; G. Vial. Artificial boundary conditions to compute correctors in linear elasticity. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 15 (2012) no. 2, pp. 157-164. http://geodesic.mathdoc.fr/item/SJVM_2012_15_2_a4/