Mixed FEM for Second Order Elliptic Problems on Polygonal Meshes with BEM-Based Spaces
KAUST Grant NumberKUS-C1-016-04
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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.
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.
SponsorsThe 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.
PublisherSpringer Science + Business Media