In the paper we deal with analytical and numerical methods for modelling phononic elastic structures subject to harmonic loading. The band gap prediction is based on the [...]

We consider materials with different levels of porosity at different scales. Homogenization theory provides a natural way of upscaling fluid-structure interaction proble [...]

The notion of strong heterogeneity is considered in the sense of material scaling: the idea is to study mathematical models where the coefficients of the partial differe [...]

We consider the problem of wave propagation in periodically heterogeneous composite plates with high contrasts in elastic coefficients. The unfolding method of homogeniz [...]

The paper deals with modeling the process of oil expression and filtration in rotating screw pressing machine. In this pilot study we consider linearized behavior of the [...]

We consider a composite medium made of weakly piezoelectric inclusions periodically distributed in the matrix which is made of a different piezoelectric material. The med [...]

The paper summarizes recent efforts in the homogenization based multiscale modelling of biological tissues in the context of the fluid-structure interaction at the micro [...]

The paper contributes to solving optimal flow 3D problems in the context of laminar incompressible flows of Newtonian fluid in rigid ducts. A stabilization of the fin [...]