{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,7]],"date-time":"2026-04-07T07:28:32Z","timestamp":1775546912879,"version":"3.50.1"},"reference-count":23,"publisher":"Walter de Gruyter GmbH","issue":"2","funder":[{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["GSC 233"],"award-info":[{"award-number":["GSC 233"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2020,4,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>Many problems in electrical engineering or fluid mechanics can be\nmodeled by parabolic-elliptic interface problems,\nwhere the domain for the exterior elliptic problem might be unbounded.\nA possibility to solve this class of problems numerically is\nthe non-symmetric coupling of finite elements (FEM) and boundary elements (BEM)\nanalyzed in [H. Egger, C. Erath and R. Schorr,\nOn the nonsymmetric coupling method for parabolic-elliptic interface problems,\nSIAM J. Numer. Anal. 56 2018, 6, 3510\u20133533].\nIf, for example, the interior problem represents a fluid,\nthis method is not appropriate\nsince FEM in general lacks conservation of numerical fluxes and in case of\nconvection dominance also stability.\nA possible remedy to guarantee both is the use\nof the vertex-centered finite volume method (FVM) with an\nupwind stabilization option.\nThus, we propose a (non-symmetric) coupling of FVM and BEM for a semi-discretization of the\nunderlying problem. For the subsequent time discretization we introduce two\noptions: a variant\nof the backward Euler method which allows us to develop an analysis under minimal regularity assumptions\nand the classical backward Euler method.\nWe analyze both, the semi-discrete and the fully-discrete system, in terms of convergence\nand error estimates. Some numerical examples illustrate the theoretical findings and\ngive some ideas for practical applications.<\/jats:p>","DOI":"10.1515\/cmam-2018-0253","type":"journal-article","created":{"date-parts":[[2019,5,7]],"date-time":"2019-05-07T09:03:03Z","timestamp":1557219783000},"page":"251-272","source":"Crossref","is-referenced-by-count":3,"title":["Stable Non-symmetric Coupling of the Finite Volume Method and the Boundary Element Method for Convection-Dominated Parabolic-Elliptic Interface Problems"],"prefix":"10.1515","volume":"20","author":[{"given":"Christoph","family":"Erath","sequence":"first","affiliation":[{"name":"Department of Mathematics , TU Darmstadt , Dolivostr. 15, 64293 Darmstadt , Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0811-5473","authenticated-orcid":false,"given":"Robert","family":"Schorr","sequence":"additional","affiliation":[{"name":"Graduate School of Computational Engineering , Dolivostr. 15, 64293 Darmstadt , Germany"}]}],"member":"374","published-online":{"date-parts":[[2019,5,7]]},"reference":[{"key":"2023033110443921158_j_cmam-2018-0253_ref_001_w2aab3b7e3074b1b6b1ab2ab1Aa","doi-asserted-by":"crossref","unstructured":"M.  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