Analysis of a cell-vertex finite volume method for convection-diffusion problems
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- by K. W. Morton, Martin Stynes and Endre Süli PDF
- Math. Comp. 66 (1997), 1389-1406 Request permission
Abstract:
A cell-vertex finite volume approximation of elliptic convection-dominated diffusion equations is considered in two dimensions. The scheme is shown to be stable and second-order convergent in a mesh-dependent $L_2$-norm.References
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Additional Information
- K. W. Morton
- Affiliation: Oxford University Computing Laboratory, Wolfson Building, Parks Road, Oxford OX1 3QD, United Kingdom
- Email: Bill.Morton@comlab.ox.ac.uk
- Martin Stynes
- Affiliation: Department of Mathematics, University College, Cork, Ireland
- Email: STMT8007@iruccvax.ucc.ie
- Endre Süli
- Affiliation: Oxford University Computing Laboratory, Wolfson Building, Parks Road, Oxford OX1 3QD, United Kingdom
- Email: Endre.Suli@comlab.ox.ac.uk
- Received by editor(s): November 22, 1994
- Received by editor(s) in revised form: January 26, 1996, and June 12, 1996
- Additional Notes: The authors are grateful to the British Council and Forbairt for the generous financial support of this project.
- © Copyright 1997 American Mathematical Society
- Journal: Math. Comp. 66 (1997), 1389-1406
- MSC (1991): Primary 65N99, 65L10; Secondary 76M25
- DOI: https://doi.org/10.1090/S0025-5718-97-00886-7
- MathSciNet review: 1432132