A boundary element method for electromagnetic transmission problems

Abstract

Time-harmonic electromagnetic waves are scattered by a homogeneous dielectric obstacle. We transform Maxwell's equations via an ansatz into a system of second kind integral equations on the interface. Uniqueness and Fredholm properties of the boundary integral operator are proven. A Garding inequality is satisfied and ensures the stability of the corresponding Galerkin scheme.

Keywords:

• eddy current problem
• second kind integral equation
• boundary element method