A Subregion Expansion Method for Computational Electromagnetics

A new semi-analytical method, subregion expansion method (SEM), is presented for computational electromagnetics. In this scheme, the entire field domain is divided into subregions; in each subregion, a semi-analytical expansion is constructed to approximate the solution. Then all these subregions are jointed together at the fictitious boundaries, and all the boundary conditions are satisfied to determine the coefficients of the expansions. The 2D Laplace equation was investigated, and numerical examples are given to verify the validity of the method