Mathematics of Computation

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ISSN 1088-6842(e) ISSN 0025-5718(p)

An Analysis of a Cell-Vertex Finite Volume Method for a Parabolic Convection-Diffusion Problem

Author(s): Wen Guo; Martin Stynes.
Journal: Math. Comp. 66 (1997), 105-124.
MSC (1991): Primary 65M60, 65M12; Secondary 76M25
MathSciNet review: 1372006
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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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