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

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  • Tan, Jiawei

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.

Suggested Citation

  • Tan, Jiawei, 2019. "An upwind finite volume method for convection-diffusion equations on rectangular mesh," Chaos, Solitons & Fractals, Elsevier, vol. 118(C), pages 159-165.
    • Handle: RePEc:eee:chsofr:v:118:y:2019:i:c:p:159-165
    DOI: 10.1016/j.chaos.2018.09.011
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