A boundary element method for an exterior problem for three-dimensional maxwell’s equations

Abstract

This paper contains an analysis of a Galerkin pro-cedure for a system of integral equations arising in electro¬magnetic theory. The boundary value problem is that of Max¬well's equations in air in the exterior of a perfect conductor. The system of equations contains pseudodifferential operators on the obstacle surface. It is shown that the system is coercive and from this asymptotic convergence of Galerkin's method is established together with quasi-optimal estimates on convergence rates