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The Elliptic Property and Local Truncation Error for the Full Finite Volume Method of the Convection-Diffusion Problem | ||
| Journal of College of Education for Pure Science | ||
| Article 1, Volume 2, Issue 1, 2012, Pages 226-238 | ||
| Authors | ||
| Mohammed S. Chechan; Hashim A. kashkool | ||
| Abstract | ||
| In this paper, a full finite volume method is studied for the two-dimensional linear convection- diffusion problem. A linear convection term is approximated by the upwind finite element method considered over a mesh to the triangular grid, whereas the linear diffusion term is approximated by using divergence theorem and approximate the direction derivative by difference quotient. The elliptic property, the discrete conservation law and local truncation error of this method are proved under some assumption on the numerical fluxes. | ||
| Keywords | ||
| Finite volume method; convection; diffusion problem; elliptic property; local truncation error | ||
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