Coupling of Discontinuous Galerkin Finite Element and Boundary Element Methods

This paper presents three new coupling methods for interior penalty discontinuous Galerkin finite element methods and boundary element methods. The new methods allow one to use discontinuous basis functions on the interface between the subdomains represented by the finite element and boundary elemen...

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Bibliographic Details
Published in:SIAM journal on scientific computing 2012-01, Vol.34 (3), p.A1659-A1677
Main Authors: Of, G., Rodin, G. J., Steinbach, O., Taus, M.
Format: Article
Language:English
Subjects:
Algebra
Applied mathematics
Boundary element method
Boundary value problems
Convergence
Error analysis
Finite element method
Galerkin methods
Integral equations
Joining
Mathematical analysis
Methods
Permissible error
Radiation
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Summary:This paper presents three new coupling methods for interior penalty discontinuous Galerkin finite element methods and boundary element methods. The new methods allow one to use discontinuous basis functions on the interface between the subdomains represented by the finite element and boundary element methods. This feature is particularly important when discontinuous Galerkin finite element methods are used. Error and stability analysis is presented for one of the methods. Numerical examples suggest that all three methods exhibit very similar convergence properties, consistent with available theoretical results. [PUBLICATION ABSTRACT]
ISSN:1064-8275
1095-7197
DOI:10.1137/110848530