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Analysis of a cell-vertex finite volume method for convection-diffusion problems |
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| Authors: | K. W. Morton Martin Stynes Endre Sü li. |
| Affiliation: | Oxford University Computing Laboratory, Wolfson Building, Parks Road, Oxford OX1 3QD, United Kingdom ; Department of Mathematics, University College, Cork, Ireland ; Oxford University Computing Laboratory, Wolfson Building, Parks Road, Oxford OX1 3QD, United Kingdom |
| 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  -norm. |
| Keywords: | Finite volume methods stability error analysis |
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