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An Upwind Finite Volume Element Method for Nonlinear Convection Diffusion Problem

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DOI: 10.4236/ajcm.2011.14032    4,166 Downloads   8,405 Views   Citations


A class of upwind finite volume element method based on tetrahedron partition is put forward for a nonlinear convection diffusion problem. Some techniques, such as calculus of variations, commutating operators and the a priori estimate, are adopted. The a priori error estimate in L2-norm and H1-norm is derived to determine the error between the approximate solution and the true solution.

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Cite this paper

F. Gao, Y. Yuan and N. Du, "An Upwind Finite Volume Element Method for Nonlinear Convection Diffusion Problem," American Journal of Computational Mathematics, Vol. 1 No. 4, 2011, pp. 264-270. doi: 10.4236/ajcm.2011.14032.


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