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arXiv · 1212.2128

Coupling of HDG with a double-layer potential BEM

Zhixing Fu·Norbert Heuer·Francisco-Javier Sayas
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Abstract

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.

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Zhixing Fu, Norbert Heuer, Francisco-Javier Sayas. 2012-12-10. Coupling of HDG with a double-layer potential BEM. https://arxiv.org/abs/1212.2128

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