Coupling finite element and integral equation representations to efficiently model large three-dimensional scattering objects

Abstract

The authors outline a method that couples a three-dimensional finite element solution interior to the bounding surface with an efficient integral equation solution that exactly enforces the Sommerfeld radiation condition. Specifically, edge based, vector finite elements are used to model fields in the interior region. Numerical results are presented for the example of scattering from a homogeneous dielectric sphere of relative permittivity 2.<>