Some iterative processes of solution of elliptic equations with discontinuous coefficients and solutions with a design estimates of the rate of convergence of iterations

We study the approximate solution of the contact boundary problems for elliptic equations in inhomogeneous anisotropic media with discontinuous coefficients and solution when contacting the internal borders of multilayer media define the conditions of conjugation nonideal contact type. Developed and validated method for solving these classes of problems with discontinuous coefficients and solutions to equations of mathematical physics of elliptic type. Questions of convergence of the iterative process. And the set design of the rate of convergence of iterations (with calculated constants).