Error estimates for the convergence of a finite volume discretization of convection-diffusion equations

Research output: Contribution to journalArticleResearchpeer-review

11 Citations (Scopus)

Abstract

A study was performed on error estimates for a finite volume discretization of an elliptic equation. It was shown that finite volume methods are widely used to approximate the solutions of convection-diffusion equations. The error estimates were proved, thus filling a gap between finite volume methods and finite element methods.

Original languageEnglish
Pages (from-to)1-32
Number of pages32
JournalJournal of Numerical Mathematics
Volume11
Issue number1
DOIs
Publication statusPublished - 2 Jun 2003
Externally publishedYes

Keywords

  • Convection-diffusion equations
  • Convergence rate
  • Finite Volume
  • Interpolation

Cite this

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title = "Error estimates for the convergence of a finite volume discretization of convection-diffusion equations",
abstract = "A study was performed on error estimates for a finite volume discretization of an elliptic equation. It was shown that finite volume methods are widely used to approximate the solutions of convection-diffusion equations. The error estimates were proved, thus filling a gap between finite volume methods and finite element methods.",
keywords = "Convection-diffusion equations, Convergence rate, Finite Volume, Interpolation",
author = "J. Droniou",
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Error estimates for the convergence of a finite volume discretization of convection-diffusion equations. / Droniou, J.

In: Journal of Numerical Mathematics, Vol. 11, No. 1, 02.06.2003, p. 1-32.

Research output: Contribution to journalArticleResearchpeer-review

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KW - Interpolation

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