Coupling of Raviart-Thomas and hybridizable discontinuous Galerkin methods with BEM

Bernardo Cockburn, Johnny Guzman, Francisco Javier Sayas

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

We present new a priori error analyses of the coupling of the Raviart-Thomas (RT) method and BEM as well as of the coupling of the hybridizable discontinuous Galerkin (HDG) method with BEM. The novel features of the analysis of the RT-BEM coupling are the superconvergence estimates for the scalar approximation of the interior problem and new bounds in weak and strong norms for the boundary variables. The analysis of the HDG-BEM coupling is the first analysis of this coupling and shows that the coupling provides approximations with the same convergence properties as those of the RT-BEM coupling.

Original languageEnglish (US)
Pages (from-to)2778-2801
Number of pages24
JournalSIAM Journal on Numerical Analysis
Volume50
Issue number5
DOIs
StatePublished - Nov 9 2012

Keywords

  • Boundary element methods
  • Coupling
  • Discontinuous Galerkin methods
  • Mixed finite element

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