Proposal for a Boundary-Integral Method without Using Green´s Function

A new method for solving electromagnetic boundary-value problems is presented. The new method is a modification of the conventional boundary-element method; the conventional method is modified by using the reciprocity theorem derived from Green´s identity, making the use of Green´s function unnecessary. To confirm the validity of the new method, numerical analyses are presented for Dirichfet- and Neumann-type boundary-value problems of a two-dimensional scalar wave equation.