Solution of the Elliptic Equations by Multigrid Method Using Chebyshev's Iterations

We present the difference method for elliptic equations appearing in connection with constructions of block-structured grids in the complicated curvilinear regions. This method is a special variant of the well-known multigrid method introduced by R.P.Fedorenko. As the inner iterations of the multigrid method we use the special form of Chebyshev's method. The method is realized and used for calculations of block-structured grids, but other applications are possible.