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) |
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Pages (from-to) | 765-794 |
Number of pages | 30 |
Journal | IMA Journal of Numerical Analysis |
Volume | 32 |
Issue number | 3 |
DOIs | |
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