Domain map finite element method for open boundary electromagnetic field problem

A domain map finite element method was developed to solve open boundary electromagnetic field problems. This method divides the infinite field domain into inner and outer field domains with the standard FEM equations solved in the inner domain and the Kelvin transformation used in outer domain in a new finite element format. The equations for the two parts are coupled at the domains interface. This method used less than 1/9 the elements of the traditional FEM; thus this method has significantly less degrees of freedom and uses much less memory and CPU time than traditional FEM. The method has been successfully applied to 2-D and 3-D open boundary problems.