A stabilized mixed discontinuous Galerkin method for Darcy flow

Thomas J.R. Hughes, Arif Masud, Jing Wan

Research output: Contribution to journalArticlepeer-review


A new mixed, stabilized, discontinuous Galerkin formulation for Darcy flow is presented. The formulation combines several attributes not simultaneously satisfied by other methods: It is convergent for any combination of velocity and pressure interpolation higher than first-order, it exactly satisfies a mass balance on each element, and it passes two- and three-dimensional constant-flow "patch tests" for distorted element geometries. The key ingredient in the formulation is a volumetric, residual-based, stabilization term that does not involve any mesh-dependent parameters.

Original languageEnglish (US)
Pages (from-to)3347-3381
Number of pages35
JournalComputer Methods in Applied Mechanics and Engineering
Issue number25-28
StatePublished - May 1 2006
Externally publishedYes


  • Darcy flow
  • Discontinuous Galerkin method
  • Error estimates
  • Finite elements
  • Mass balance
  • Mixed method
  • Patch test
  • Stabilized method

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications


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