Local projection finite element stabilization for darcy flow

Research output: Contribution to journalArticle

1 Citation (Scopus)

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

Fingerprint

Darcy Flow
Gradient methods
Convergence of numerical methods
Galerkin methods
Pressure gradient
Linear systems
Stabilization
Projection
Finite Element
Stabilized Finite Element Method
Finite element method
Mixed Methods
Gradient Method
Stability and Convergence
Pressure Gradient
Galerkin Method
Stability Condition
Convergence Properties
Approximation

Keywords

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

ASJC Scopus subject areas

  • Numerical Analysis

Cite this

Local projection finite element stabilization for darcy flow. / Nafa, Kamel.

In: International Journal of Numerical Analysis and Modeling, Vol. 7, No. 4, 2010, p. 656-666.

Research output: Contribution to journalArticle

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