In this work, we consider a nonlinear strain-limiting elastic model in heterogeneous
domains. We investigate heterogeneous material with soft and stiff inclusions and …

For the Poisson equation posed in a domain containing a large number of polygonal
perforations, we propose a low-dimensional coarse approximation space based on a coarse …

Piezomagnetoelectric materials have many applications in various areas of science and
engineering. For example, such materials can be used in sensors, transducers, energy …

In this paper, we present a new mathematical model of the interaction of two languages. In
the model, we distinguish percentages of people who speak a non-target language, a target …

In this paper, we consider flow and transport problems in thin domains. Modeling problems
in thin domains occur in many applications, where thin domains lead to some type of …

In this paper, we construct a class of Mixed Generalized Multiscale Finite Element Methods
for the approximation on a coarse grid for an elliptic problem in thin two-dimensional …

In this paper, we consider unsaturated filtration in heterogeneous porous media with rough
surface topography. The surface topography plays an important role in determining the flow …

In this paper, we consider a class of multiscale methods for the solution of nonlinear problem
in perforated domains. These problems are of multiscale nature and their discretizations …

We present a direct numerical method for the solution of an optimal control problem
controlling the growth of LDL (Low-density Lipoprotein), HDL (High-density Lipoprotein) and …

A wide range of applications in science and engineering involve a PDE model in a domain
with perforations, such as perforated metals or air filters. Solving such perforated domain …