Improving on computation of homogenized coefficients in the periodic and quasi-periodic settings
Xavier Blanc, ,Laboratoire J. L. Lions, Université Pierre et Marie Curie, Boî te courrier 187, F-75252 Paris, Claude Le Bris, ,Université Paris-Est, CERMICS, Ecole Nationale des Ponts et Chaussées, 6 et 8 avenue Blaise Pascal, 77455 Marne-la-Valléauthore Cedex 2 · Networks and Heterogeneous Media · 2010
In quasi-periodic homogenization of elliptic equations or nonlinearperiodic homogenization of systems, the cell problem must be ingeneral set on the whole space. Numerically computing thehomogenization coefficient therefore implies a truncation error, dueto the fact that the problem is approximated on a bounded, largedomain. We present here an approach that improves the rate ofconvergence of this approximation.