Local projection finite element stabilization for darcy flow

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Abstract

Local projection based stabilized finite element methods for the solution of Darcy flow offer several advantages as compared to mixed Galerkin methods. In particular, the avoidance of stability conditions between finite element spaces, the efficiency in solving the reduced linear algebraic system, and the convenience of using equal order continuous approximations for all variables. In this paper we analyze the pressure gradient method for Darcy flow and investigate its stability and convergence properties.

Original languageEnglish
Pages (from-to)656-666
Number of pages11
JournalInternational Journal of Numerical Analysis and Modeling
Volume7
Issue number4
Publication statusPublished - 2010

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Keywords

  • Convergence
  • Darcy equations
  • Error estimates
  • Stabilized finite elements

ASJC Scopus subject areas

  • Numerical Analysis

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