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J. Douglas Jr. and T. F. Russell, “Numerical Methods for Convection-Dominated Diffusion Problems Based on Com- bining the Method of Characteristics with Finite Element or Finite Difference Procedures,” SIAM Journal on Numerical Analysis, Vol. 19, No. 5, 1982, pp. 871-885. doi:10.1137/0719063

has been cited by the following article:

• 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.