Paper Info
Title
Mixed FEM for Second Order Elliptic Problems on Polygonal Meshes with BEM-Based Spaces.
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.
Year
DOI
Venue
2013
10.1007/978-3-662-43880-0_37
Lecture Notes in Computer Science
Keywords
DocType
Volume
Mixed formulation,BEM-based FEM,Polygonal mesh
Conference
8353
ISSN
Citations 
PageRank 
0302-9743
4
0.49
References 
Authors
4
4
Name
Order
Citations
PageRank
Yalchin Efendiev158167.04
Juan Galvis234926.24
Raytcho D. Lazarov345682.23
Steffen Weißer4243.63