Approximation of the velocity by coupling discontinuous Galerkin and mixed finite element methods for flow problems

Bernardo Cockburn, Clint Dawson

Research output: Contribution to journalArticlepeer-review

32 Scopus citations

Abstract

In this paper, we show how to couple the local discontinuous Galerkin method and the Raviart-Thomas mixed finite element method for elliptic equations modeling flow problems. We then show that the approximation of the velocity converges with the optimal order of k when we take the local discontinuous Galerkin that uses polynomials of degree k and the Raviart-Thomas space of polynomials of degree k-1.

Original languageEnglish (US)
Pages (from-to)505-522
Number of pages18
JournalComputational Geosciences
Volume6
Issue number3-4
DOIs
StatePublished - Dec 1 2002

Keywords

  • Discontinuous Galerkin method
  • Elliptic equations
  • Mixed finite element method

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