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

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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

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