Séminaire ACSIOM :

Le 01 décembre 2015 à 10:00 - salle 9.11 (1er étage)

Présentée par Lemaire Simon - INRIA, Lille

On the best constant matrix approximating an oscillatory
matrix-valued coefficient in divergence-form operators

We approximate an elliptic problem with oscillatory coefficients using a problem of the same type, but with constant coefficients. We deliberately take an engineering perspective, where the information on the oscillatory coefficients in the equation can be incomplete. A theoretical foundation of the approach in the limit of infinitely small oscillations of the coefficients is provided, using the classical theory of homogenization. We present a comprehensive study of the implementation aspects of our method, and a set of numerical tests and comparisons that show the potential practical interest of the approach.