An upwind finite volume method for convection-diffusion equations on rectangular mesh

Jiawei Tan

Chaos, Solitons & Fractals, 2019, vol. 118, issue C, 159-165

Abstract: In this paper, we present an upwind finite volume method to solve the convection-diffusion equations with Dirichlet boundary on rectangular mesh. By utilizing the technique of element-by-element analysis, the stability of the method has been proved and the H1-norm error estimate is presented. Furthermore, we provide the proofs of the maximum principle and L∞-norm error estimate. Finally, some numerical experiments are provided to confirm our theoretical results.

Keywords: Convection-diffusion; Upwind finite volume method; Maximum principle; Stability; Error estimate (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:118:y:2019:i:c:p:159-165

DOI: 10.1016/j.chaos.2018.09.011

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