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A Possible Homogenization Approach for the Numerical Simulation of Periodic Microstructures with Defects |
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| Authors: | X. Blanc C. Le Bris P. -L. Lions |
| Affiliation: | 1. CEA, DAM, DIF, 91297, Arpajon, France 2. ??cole Nationale des Ponts et Chauss??es, 6 et 8 avenue Blaise Pascal, 77455, Marne-La-Vall??e Cedex 2, France 3. INRIA Rocquencourt, MICMAC project-team, Domaine de Voluceau, B.P. 105, 78153, Le Chesnay Cedex, France 4. Coll??ge de France, 11 place Marcelin Berthelot, 75231, Paris Cedex 05, France 5. CEREMADE, Universit?? Paris Dauphine, Place de Lattre de Tassigny, 75775, Paris Cedex 16, France |
| Abstract: | 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 [6]. |
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