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

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.

published proceedings

  • LARGE-SCALE SCIENTIFIC COMPUTING, LSSC 2013

author list (cited authors)

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

citation count

  • 6

complete list of authors

  • Efendiev, Yalchin||Galvis, Juan||Lazarov, Raytcho||Wei├čer, Steffen

editor list (cited editors)

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

publication date

  • June 2014