We apply multiresolution techniques to study the effective properties of boundary value problems. Conditions under which boundary values are preserved in the effective (`homogenized') formulation are developed and discussed. Relations between the eigenfunctions and eigenvalues of the generic...

The contribution deals with heat equation in the form (cu+W[u])t=div(a·∇u)+f, where the nonlinear functional operator W[u] is a Prandtl–Ishlinskii hysteresis operator of play type characterized by a distribution function η. The spatially dependent initial boundary value problem is studied....

The paper deals with a structural optimization of composite materials with periodic microstructures invoking an elasto-plasticity model with the von Mises yield criterion. Closest-point return mapping algorithms within the incremental finite element method are applied for the numerical solution...

The paper deals with a model of the homogenized fluid saturated porous material which recently was obtained by the authors using the asymptotic analysis of the Biot type medium characterized by the double porosity. The homogenized macroscopic model is featured by the fading memory effects...