In this paper we propose and analyze a new coupling procedure for the Hybridizable Discontinuous Galerkin Method with Galerkin Boundary Element Methods based on a double layer potential representation of the exterior component of the solution of a transmission problem. We show a discrete uniform coercivity estimate for the non-symmetric bilinear form and prove optimal convergence estimates for all the variables, as well as superconvergence for some of the discrete fields. Some numerical experiments support the theoretical findings.
@article{arxiv.1212.2128,
title = {Coupling of HDG with a double-layer potential BEM},
author = {Zhixing Fu and Norbert Heuer and Francisco-Javier Sayas},
journal= {arXiv preprint arXiv:1212.2128},
year = {2012}
}