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 | |
| 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