{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T07:44:25Z","timestamp":1776843865721,"version":"3.51.2"},"reference-count":29,"publisher":"American Mathematical Society (AMS)","issue":"273","license":[{"start":{"date-parts":[[2011,8,17]],"date-time":"2011-08-17T00:00:00Z","timestamp":1313539200000},"content-version":"am","delay-in-days":365,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>In this paper we propose and analyze some new methods for coupling mixed finite element and boundary element methods for the model problem of the Laplace equation in free space or in the exterior of a bounded domain. As opposed to the existing methods, which use the complete matrix of operators of the Calder\u00f3n projector to obtain a symmetric coupled system, we propose methods with only one integral equation. The system can be considered as a further generalization of the Johnson\u2013N\u00e9d\u00e9lec coupling of BEM\u2013FEM to the case of mixed formulations in the bounded domain. Using some recent analytical tools we are able to prove stability and convergence of Galerkin methods with very general conditions on the discrete spaces and no restriction relating the finite and boundary element spaces. This can be done for general Lipschitz interfaces and in particular, the coupling boundary can be taken to be a Lipschitz polyhedron. Both the indirect and the direct approaches for the boundary integral formulation are explored.<\/p>","DOI":"10.1090\/s0025-5718-2010-02401-9","type":"journal-article","created":{"date-parts":[[2010,10,4]],"date-time":"2010-10-04T11:01:54Z","timestamp":1286190114000},"page":"43-68","source":"Crossref","is-referenced-by-count":11,"title":["Nonsymmetric coupling of BEM and mixed FEM on polyhedral interfaces"],"prefix":"10.1090","volume":"80","author":[{"given":"Salim","family":"Meddahi","sequence":"first","affiliation":[]},{"given":"Francisco-Javier","family":"Sayas","sequence":"additional","affiliation":[]},{"given":"Virginia","family":"Selg\u00e1s","sequence":"additional","affiliation":[]}],"member":"14","published-online":{"date-parts":[[2010,8,17]]},"reference":[{"key":"1","series-title":"Pure and Applied Mathematics, Vol. 65","volume-title":"Sobolev spaces","author":"Adams, Robert A.","year":"1975"},{"issue":"1","key":"2","doi-asserted-by":"publisher","first-page":"107","DOI":"10.1090\/qam\/1096235","article-title":"Symmetric finite element and boundary integral coupling methods for fluid-solid interaction","volume":"49","author":"Bielak, J.","year":"1991","journal-title":"Quart. 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