TITLE:
An Upwind Finite Volume Element Method for Nonlinear Convection Diffusion Problem
AUTHORS:
Fuzheng Gao, Yirang Yuan, Ning Du
KEYWORDS:
Nonlinear, Convection-Diffusion, Tetrahedron Partition, Error Estimates
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.1 No.4,
December
9,
2011
ABSTRACT: 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.