The numerical solution of a non-uniform problem theory of elasticity with the curvilinear interface

In the paper a non-uniform problem of elasticity with the curvilinear interface between materials is considered. For these decision, the domain decomposition method in a combination to approximation of a problem by a nonconforming finite element method is applied. For a received system of a linear algebraic equations the effective iterative method with a block preconditioning is constructed. The analysis of numerical experiments is carried out.