Finite difference and finite element grid optimization by the grid iteration method

A grid optimization iterative procedure is presented in the paper. It represents the first step of a two step algorithm and is named grid iteration method. Together with the second step, named metric iteration method, it has been developed previously by the authors for simple examples and has been proven to be potentially very efficient. In this paper the grid iteration method is further developed. It is extended to problems with various unknowns; more efficient techniques are developed in order to apply the method to more complex geometries, to improve the convergence tests and to better solve magnetic problems.