{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,14]],"date-time":"2025-05-14T04:47:34Z","timestamp":1747198054065,"version":"3.40.5"},"reference-count":33,"publisher":"Walter de Gruyter GmbH","issue":"4","funder":[{"DOI":"10.13039\/501100020884","name":"Agencia Nacional de Investigaci\u00f3n y Desarrollo","doi-asserted-by":"publisher","award":["ACE210010 and FB210005"],"award-info":[{"award-number":["ACE210010 and FB210005"]}],"id":[{"id":"10.13039\/501100020884","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-2137305"],"award-info":[{"award-number":["DMS-2137305"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2022,10,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>In their article <jats:italic>\u201cCoupling at a distance HDG and BEM\u201d<\/jats:italic>, 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.<\/jats:p>","DOI":"10.1515\/cmam-2022-0004","type":"journal-article","created":{"date-parts":[[2022,7,21]],"date-time":"2022-07-21T16:58:12Z","timestamp":1658422692000},"page":"945-970","source":"Crossref","is-referenced-by-count":2,"title":["Afternote to \u201cCoupling at a Distance\u201d: Convergence Analysis and A Priori Error Estimates"],"prefix":"10.1515","volume":"22","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3235-3113","authenticated-orcid":false,"given":"Nestor","family":"S\u00e1nchez","sequence":"first","affiliation":[{"name":"Departamento de Ingenier\u00eda Matem\u00e1tica , Universidad de Concepci\u00f3n ; and Centro de Investigaci\u00f3n en Ingenier\u00eda Matem\u00e1tica (CI2MA), Universidad de Concepci\u00f3n , Concepci\u00f3n , Chile ; and Instituto de Matem\u00e1ticas, Unidad Juriquilla, Universidad Nacional Aut\u00f3noma de M\u00e9xico, M\u00e9xico City, M\u00e9xico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8930-2798","authenticated-orcid":false,"given":"Tonatiuh","family":"S\u00e1nchez-Vizuet","sequence":"additional","affiliation":[{"name":"Department of Mathematics , The University of Arizona , Tucson , USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8589-3685","authenticated-orcid":false,"given":"Manuel E.","family":"Solano","sequence":"additional","affiliation":[{"name":"Departamento de Ingenier\u00eda Matem\u00e1tica , Universidad de Concepci\u00f3n ; and Centro de Investigaci\u00f3n en Ingenier\u00eda Matem\u00e1tica (CI2MA), Universidad de Concepci\u00f3n , Concepci\u00f3n , Chile"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2022,7,22]]},"reference":[{"key":"2023033113381595467_j_cmam-2022-0004_ref_001","doi-asserted-by":"crossref","unstructured":"P. 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