A. Kashkool and Mohammed S. Chechan, H. (2012). Error Estimate and Stability for the Finite Volume Method of the Convection – Diffusion Problem. Alustath, 30(2), 106-127.
Hashim A. Kashkool and Mohammed S. Chechan. "Error Estimate and Stability for the Finite Volume Method of the Convection – Diffusion Problem". Alustath, 30, 2, 2012, 106-127.
A. Kashkool and Mohammed S. Chechan, H. (2012). 'Error Estimate and Stability for the Finite Volume Method of the Convection – Diffusion Problem', Alustath, 30(2), pp. 106-127.
A. Kashkool and Mohammed S. Chechan, H. Error Estimate and Stability for the Finite Volume Method of the Convection – Diffusion Problem. Alustath, 2012; 30(2): 106-127.

Error Estimate and Stability for the Finite Volume Method of the Convection – Diffusion Problem

basrah journal of science
Article 1, Volume 30, Issue 2, December 2012, Pages 106-127    PDF (0 K)
Author
Hashim A. Kashkool and Mohammed S. Chechan
Abstract
In this paper, a finite volume method is studied for two-dimensional linear convection-diffusion problem. A linear convection term is approximated by upwind finite element scheme considered over a mesh to the triangular grid, whereas the diffusion term is approximated by using divergence theorem and approximate the direction derivative by difference quotient. The stability and error estimate of this method are proved under some assumption on the numerical fluxes.
Keywords
Finite volume method; convection; diffusion problem; error estimate; stability
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