Mixed FEM for Second Order Elliptic Problems on Polygonal Meshes with BEM-Based Spaces Conference Paper

abstract

• We 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.

authors

• Efendiev, Yalchin
• Lazarov, Raytcho

published proceedings

• LARGE-SCALE SCIENTIFIC COMPUTING, LSSC 2013

author list (cited authors)

• Efendiev, Y., Galvis, J., Lazarov, R., & Weisser, S.

citation count

• 7

complete list of authors

• Efendiev, Yalchin||Galvis, Juan||Lazarov, Raytcho||Weisser, Steffen

editor list (cited editors)

• Lirkov, I., Margenov, S., & Wasniewski, J.

publication date

• January 2014

publisher

• Springer Nature  Publisher

published in

• Lecture Notes in Computer Science  Journal

keywords

• Bem-based Fem
• Mixed Formulation
• Polygonal Mesh

Digital Object Identifier (DOI)

• 10.1007/978-3-662-43880-0_37

International Standard Book Number (ISBN) 13

• 978-3-662-43879-4

start page

• 331

end page

• 338

volume

• 8353

URL

• http%3A%2F%2Fdx.doi.org%2F10.1007%2F978-3-662-43880-0_37