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.