articleSIAM Journal on Numerical AnalysisJan 1, 2002Closed access

Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems

DNDouglas N. ArnoldFBFranco BrezziBCBernardo CockburnLDL. D. Marini

University of Minnesota · National Academies of Sciences, Engineering, and Medicine

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Abstract

Abstract. We provide a framework for the analysis of a large class of discontinuous methods for second-order elliptic problems. It allows for the understanding and comparison of most of the discontinuous Galerkin methods that have been proposed over the past three decades for the numerical treatment of elliptic problems.

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Topics & keywords

Topics
Keywords
  • Discontinuous Galerkin method
  • Mathematics
  • Galerkin method
  • Elliptic curve
  • Applied mathematics
  • Numerical analysis
  • Class (philosophy)
  • Finite element method
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