Article citationsMore>>

Z. Q. Cai,J. Mandel and S. F. McCormick, “The Finite Volume Element Method for Diffusion Equations on Ge- neral Triangulations,” SIAM Journal on Numerical Ana- lysis, Vol. 28, No. 2, 1991, pp. 392-402. doi:10.1137/0728022

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.