Homogenization and a galerkin approximation in three–dimensional beam theory
Maria Luisa Mascarenhas, Luis Trabucho · Applicable Analysis · 1991
In this work we study the limit relations between a Galerkin approximation method, of the spectral type, for the three–dimensional linearized elasticity model of a multicellular beam, and the respective homogenization process. We show that the choice of the basis functions, of the Galerkin approximation, .commutes with the homogenization process but the same does not hold for the final approximations of the three-dimensional solution