Analysis of the Cell-Centred Finite Volume Method for the Diffusion Equation

Journal of Computational Physics

Volumn 165, Issue 1, 2000, Pages 45-68

  Jones, W P ^a   Menzies, K R ^b  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

^b ROLLS ROYCE PLC   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CELLS; CYTOLOGY; NUMERICAL METHODS; POISSON EQUATION;

CELL-SIZE; DIFFUSION EQUATIONS; FINITE-VOLUME METHOD; NON-UNIFORM GRIDS; NUMERICAL CALCULATION; NUMERICAL EXPERIMENTS; TAYLOR'S SERIES EXPANSION;

FINITE VOLUME METHOD;

EID: 0008599281     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2000.6595     Document Type: Article

References (7)

1. Brenner S. C., Scott L. R. The Mathematical Theory of Finite Element Methods. 1994.
2. Feistauer M. Mathematical Methods in Fluid Dynamics. 67:1993.
3. Lazarov R. D., Mishev I. D., Vassilevski P. S. Finite volume methods for convection-diffusion problems. SIAM J. Numer. Analy. 33:1996;31.
4. Morton K. W., Stynes M., Süli E. Analysis of a cell-vertex finite volume method for convection-diffusion problems. Math. Comput. 66:1997;1389.
5. Süli E. Finite Volume Methods on Distorted Partitions: Stability, Accuracy, Adaptivity. 1989.
6. Süli E. Convergence of finite volume schemes for Poisson's equation on nonuniform meshes. SIAM J. Numer. Anal. 28:1991;1419.
7. Wloka J. Partial Differential Equations. 1987.