Multiresolutional Techniques in Finite Element Method Solution of Eigenvalue Problem

Computational analysis of unidirectional transient problems in multiscale heterogeneous media using specially adopted homogenization technique and the Finite Element Method is described below. Multiresolutional homogenization being the extension of the classical micro-macro traditional approach is used to calculate effective parameters of the composite. Effectiveness of the method is compared against previous techniques thanks to the FEM solution of some engineering problems with real material parameters and with their homogenized values. Further computational studies are necessary in this area, however application of the multiresolutional technique is justified by the natural multiscale character of composites.