Two topics related to nonperiodic multiscale problems

Claude Le Bris
École Nationale des Ponts-et-Chaussées

We present two series of works related to some nonperiodic multiscale problems. The first series consists of joint works with X. Blanc (CEA) and PL. Lions (College de France) and concerns a theory and the derivation of a numerical approach in nonperiodic homogenization, a topic related to materials with defects. The second series of works is a collaboration with A. Lozinski (Toulouse) and F. Legoll (ENPC/INRIA).
Multiscale Finite elements methods in the style of Crouzeix Raviart finite elements are derived, tested and theoretically analyzed.

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