A stabilized mixed finite element method for Darcy flow

Arif Masud, Thomas J.R. Hughes

Research output: Contribution to journalArticlepeer-review

Abstract

We develop new stabilized mixed finite element methods for Darcy flow. Stability and an a priori error estimate in the "stability norm" are established. A wide variety of convergent finite elements present themselves, unlike the classical Galerkin formulation which requires highly specialized elements. An interesting feature of the formulation is that there are no mesh-dependent parameters. Numerical tests confirm the theoretical results.

Original languageEnglish (US)
Pages (from-to)4341-4370
Number of pages30
JournalComputer Methods in Applied Mechanics and Engineering
Volume191
Issue number39-40
DOIs
StatePublished - Aug 30 2002
Externally publishedYes

ASJC Scopus subject areas

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

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