Numerical solution of nonlocal contact problems for elliptic equations

The present work is devoted to the statement and analysis of one nonlocal contact problem for Poisson´s equation in two-dimensional domain. For numerical solution the iteration process is constructed, which allows one to reduce the solution of the initial problem to the solution of a sequence of classical Dirichlet problems. The algorithm is suitable for parallel realization. The specific problem is considered as example and solved numerically by using Wolfram Mathematica.