Finite difference schemes for problems of mixture of two component elastic materials

In this paper we consider the numerical approximation of the solution of the 2D unsteady equations of mixture on a rectangular domain using the operator-splitting schemes for solving unsteady elasticity problems. Its major peculiarity is that transition to the next time level is performed by solving separate elliptic problems for each component of the displacement vector. The previous results make it possible to design efficient numerical algorithms for two component mixture elasticity equations.