The devising of symmetric couplings of boundary element and discontinuous Galerkin methods

Bernardo Cockburn, Francisco Javier Sayas

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

We propose a general framework that allows for a new natural coupling of boundary element and a wide class of finite element methods (FEMs) for a model second-order elliptic problem. This class of FEMs includes mixed methods, discontinuous Galerkin methods and the continuous Galerkin method. We provide sufficient conditions guaranteeing the well-posedness of the methods and give several examples that include new as well as old methods.

Original languageEnglish (US)
Pages (from-to)765-794
Number of pages30
JournalIMA Journal of Numerical Analysis
Volume32
Issue number3
DOIs
StatePublished - Jul 2012

Bibliographical note

Funding Information:
Supported in part by the National Science Foundation (grant DMS-0712955) and by the University of Minnesota Supercomputing Institute.

Keywords

  • boundary element methods
  • coupling
  • discontinuous Galerkin methods
  • hybridization

Fingerprint Dive into the research topics of 'The devising of symmetric couplings of boundary element and discontinuous Galerkin methods'. Together they form a unique fingerprint.

Cite this