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Title: Afternote to “Coupling at a Distance”: Convergence Analysis and A Priori Error Estimates
Abstract In their article “Coupling at a distance HDG and BEM” , Cockburn, Sayas and Solano proposed an iterative coupling of the hybridizable discontinuous Galerkin method (HDG) and the boundary element method (BEM) to solve an exterior Dirichlet problem. The novelty of the numerical scheme consisted of using a computational domain for the HDG discretization whose boundary did not coincide with the coupling interface. In their article, the authors provided extensive numerical evidence for convergence, but the proof of convergence and the error analysis remained elusive at that time. In this article we fill the gap by proving the convergence of a relaxation of the algorithm and providing a priori error estimates for the numerical solution.  more » « less
Award ID(s):
2137305
PAR ID:
10427970
Author(s) / Creator(s):
; ;
Date Published:
Journal Name:
Computational Methods in Applied Mathematics
Volume:
22
Issue:
4
ISSN:
1609-4840
Page Range / eLocation ID:
945 to 970
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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