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dc.contributor.authorEfendiev, Yalchin R.
dc.contributor.authorGalvis, Juan
dc.contributor.authorLazarov, Raytcho
dc.contributor.authorWeißer, Steffen
dc.date.accessioned2016-02-25T13:42:17Z
dc.date.available2016-02-25T13:42:17Z
dc.date.issued2014
dc.identifier.citationEfendiev Y, Galvis J, Lazarov R, Weißer S (2014) Mixed FEM for Second Order Elliptic Problems on Polygonal Meshes with BEM-Based Spaces. Lecture Notes in Computer Science: 331–338. Available: http://dx.doi.org/10.1007/978-3-662-43880-0_37.
dc.identifier.issn0302-9743
dc.identifier.issn1611-3349
dc.identifier.doi10.1007/978-3-662-43880-0_37
dc.identifier.urihttp://hdl.handle.net/10754/598843
dc.description.abstractWe present a Boundary Element Method (BEM)-based FEM for mixed formulations of second order elliptic problems in two dimensions. The challenge, we would like to address, is a proper construction of H(div)-conforming vector valued trial functions on arbitrary polygonal partitions of the domain. The proposed construction generates trial functions on polygonal elements which inherit some of the properties of the unknown solution. In the numerical realization, the relevant local problems are treated by means of boundary integral formulations. We test the accuracy of the method on two model problems. © 2014 Springer-Verlag.
dc.description.sponsorshipThe research of Y. Efendiev, J. Galvis, and R. Lazarov has beensupported in parts by award KUS-C1-016-04, made by King Abdullah University ofScience and Technology (KAUST). R. Lazarov is also supported in part by the awardmade by NSF DMS-1016525. Y. Efendiev would like to acknowledge a partial supportfrom NSF (724704, 0811180, 0934837) and DOE.
dc.publisherSpringer Science + Business Media
dc.subjectBEM-based FEM
dc.subjectMixed formulation
dc.subjectPolygonal mesh
dc.titleMixed FEM for Second Order Elliptic Problems on Polygonal Meshes with BEM-Based Spaces
dc.typeBook Chapter
dc.identifier.journalLecture Notes in Computer Science
dc.contributor.institutionTexas A and M University, College Station, United States
dc.contributor.institutionUniversidad Nacional de Colombia, Bogota, Colombia
dc.contributor.institutionUniversitat des Saarlandes, Saarbrucken, Germany
kaust.grant.numberKUS-C1-016-04


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