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

Yalchin R. Efendiev, Juan Galvis, Raytcho Lazarov, Steffen Weißer

Research output: Chapter in Book/Report/Conference proceedingChapter

10 Scopus citations

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.
Original languageEnglish (US)
Title of host publicationLecture Notes in Computer Science
PublisherSpringer Nature
Pages331-338
Number of pages8
ISBN (Print)9783662438794
DOIs
StatePublished - Jun 26 2014
Externally publishedYes

Fingerprint Dive into the research topics of 'Mixed FEM for Second Order Elliptic Problems on Polygonal Meshes with BEM-Based Spaces'. Together they form a unique fingerprint.

Cite this