A convergent projective iteration method combined with spatial decomposition for solving electromagnetic problems

A convergent iterative method is presented which is based on truncating the known function in the decomposed subdomain and using a projection procedure. The difference between the decomposition technique in this method and the spatial decomposition technique is that the unknown function is not decomposed in space and the solution is improved by means of an orthographic projection procedure. A series of suboperator equations defined on subdomains are solved in each step of the iterations, with much less computer memory and execution time than a direct method for the original equation. Two kinds of acceleration techniques are proposed; one employs a relaxation factor and the other is a multilevel technique like the multigrid method. Numerical results verify the computer efficiency of the proposed iteration method.<>