Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 74, Issue 11, Pages 2752-2768Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2017.08.035
Keywords
Hybridizable discontinuous Galerkin; Boundary elements; Coupling
Categories
Funding
- FONDECYT [1150056]
- CONICYT [Anillo ACT1118]
- National Science Foundation [DMS 1216356]
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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. (c) 2017 Elsevier Ltd. All rights reserved.
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