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

Bernardo Cockburn; Francisco Javier Sayas

doi:10.1093/imanum/drr019

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

Bernardo Cockburn, Francisco Javier Sayas

Mathematics

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12 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 language	English (US)
Pages (from-to)	765-794
Number of pages	30
Journal	IMA Journal of Numerical Analysis
Volume	32
Issue number	3
DOIs	https://doi.org/10.1093/imanum/drr019
State	Published - 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

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AU - Sayas, Francisco Javier

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AB - 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.

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KW - discontinuous Galerkin methods

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

Abstract

Bibliographical note

Keywords

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