Article citationsMore>>

Y. R. Yuan, “The Upwind Finite Difference Fractional Steps Methods for Two-phase Compressible Flow in Po- rous Media,” Numerical Methods for Partial Differential Equations, Vol. 19, No. 1, 2003, pp. 67-88. doi:10.1002/num.10036

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.