A locally conservative finite element method based on piecewise constant enrichment of the continuous galerkin method

Shuyu Sun*, Jiangguo Liu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

90 Scopus citations


This paper presents a locally conservative finite element method based on enriching the approximation space of the continuous Galerkin method with elementwise constant functions. The proposed method has a smaller number of degrees of freedom than the discontinuous Galerkin method. Numerical examples on coupled flow and transport in porous media are provided to illustrate the advantages of this method. We also present a theoretical analysis of the method and establish optimal convergence of numerical solutions.

Original languageEnglish (US)
Pages (from-to)2528-2548
Number of pages21
JournalSIAM Journal on Scientific Computing
Issue number4
StatePublished - Aug 10 2009


  • Continuous Galerkin methods
  • Discontinuous Galerkin methods
  • Enriched Galerkin methods
  • Flow
  • Locally conservative methods
  • Transport

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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