A non-symmetric coupling of boundary elements with the hybridizable discontinuous Galerkin method
Zhixing Fu, Norbert Heuer and Francisco-Javier Sayas
Comput. Math. Appl. 74 (11), 2752-2768, 2017.
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.