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A Possible Homogenization Approach for the Numerical Simulation of Periodic Microstructures with Defects

Blanc, Xavier; Le Bris, Claude; Lions, Pierre-Louis (2012), A Possible Homogenization Approach for the Numerical Simulation of Periodic Microstructures with Defects, Milan Journal of Mathematics, 80, 2, p. 351-367. http://dx.doi.org/10.1007/s00032-012-0186-7

Type
Article accepté pour publication ou publié
Date
2012
Journal name
Milan Journal of Mathematics
Volume
80
Number
2
Publisher
Springer
Pages
351-367
Publication identifier
Metadata
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Author(s)
Blanc, Xavier cc
Le Bris, Claude
Lions, Pierre-Louis
Abstract (EN)
We present a general strategy, adapted from classical homogenization theory, to approximate at the fine scale the solution to an elliptic equation with oscillatory coefficient when this coefficient is a locally perturbed periodic function. We illustrate numerically the efficiency of the approach. The setting considered is a particular case of a more general method which is developed in works in preparation.
Subjects / Keywords
homogenization theory; elliptic equation with oscillatory coefficient