Author(s)

Fuzheng Gao, Yirang Yuan, Ning Du

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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.

Nonlinear, Convection-Diffusion, Tetrahedron Partition, Error Estimates

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.