An analysis of a cell-vertex finite volume method for a parabolic convection-diffusion problem

Guo, Wen; Stynes, Martin

doi:10.1090/S0025-5718-97-00795-3

An analysis of a cell-vertex finite volume method for a parabolic convection-diffusion problem
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by Wen Guo and Martin Stynes PDF

Math. Comp. 66 (1997), 105-124 Request permission

Abstract:

We examine a cell-vertex finite volume method which is applied to a model parabolic convection-diffusion problem. By using techniques from finite element analysis, local errors away from all layers are obtained in a seminorm that is related to, but weaker than, the $L^2$ norm.

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