An Analysis of a Cell-Vertex

Finite Volume Method for a

Parabolic Convection-Diffusion Problem

Authors:
Wen Guo and Martin Stynes

Journal:
Math. Comp. **66** (1997), 105-124

MSC (1991):
Primary 65M60, 65M12; Secondary 76M25

DOI:
https://doi.org/10.1090/S0025-5718-97-00795-3

MathSciNet review:
1372006

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Abstract | References | Similar Articles | Additional Information

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 norm.

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Additional Information

**Wen Guo**

Affiliation:
Department of Mathematics, University College, Cork, Ireland

**Martin Stynes**

Affiliation:
Department of Mathematics, University College, Cork, Ireland

Email:
stynes@ucc.ie

DOI:
https://doi.org/10.1090/S0025-5718-97-00795-3

Received by editor(s):
August 23, 1993

Received by editor(s) in revised form:
February 22, 1995, and January 26, 1996

Article copyright:
© Copyright 1997
American Mathematical Society