Boundary Element Methods for Maxwell Transmission Problems in Lipschitz Domains

@article{Buffa2003BoundaryEM,
  title={Boundary Element Methods for Maxwell Transmission Problems in Lipschitz Domains},
  author={Annalisa Buffa and Ralf Hiptmair and Tobias von Petersdorff and Christoph Schwab},
  journal={Numerische Mathematik},
  year={2003},
  volume={95},
  pages={459-485}
}
We consider the Maxwell equations in a domain with Lipschitz boundary and the boundary integral operator A occuring in the Calderón projector. We prove an inf-sup condition for A using a Hodge decomposition. We apply this to two types of boundary value problems: the exterior scattering problem by a perfectly conducting body, and the dielectric problem with two different materials in the interior and exterior domain. In both cases we obtain an equivalent boundary equation which has a unique… CONTINUE READING