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.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Afternote to “Coupling at a Distance”: Convergence Analysis and A Priori Error Estimates ; volume:22 ; number:4 ; year:2022 ; pages:945-970 ; extent:26
Computational methods in applied mathematics ; 22, Heft 4 (2022), 945-970 (gesamt 26)
- Creator
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Sánchez, Nestor
Sánchez-Vizuet, Tonatiuh
Solano, Manuel E.
- DOI
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10.1515/cmam-2022-0004
- URN
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urn:nbn:de:101:1-2022093014020945306714
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:34 AM CEST
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Associated
- Sánchez, Nestor
- Sánchez-Vizuet, Tonatiuh
- Solano, Manuel E.
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