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

J. Droniou

doi:10.1163/156939503322004873

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

J. Droniou

Research output: Contribution to journal › Article › Research › peer-review

14 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 language	English
Pages (from-to)	1-32
Number of pages	32
Journal	Journal of Numerical Mathematics
Volume	11
Issue number	1
DOIs	https://doi.org/10.1163/156939503322004873
Publication status	Published - 2 Jun 2003
Externally published	Yes

Keywords

Convection-diffusion equations
Convergence rate
Finite Volume
Interpolation

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10.1163/156939503322004873

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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.",

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KW - Convection-diffusion equations

KW - Convergence rate

KW - Finite Volume

KW - Interpolation

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

Abstract

Keywords

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