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Bermúdez, A., Nogueiras, M.R. and Vázquez, C. (2006) Numerical Analysis of Convection-Diffusion-Reaction Problems with Higher Order Characteristic/Finite Elements, Part II: Fully Discretized Scheme and Quadrature Formulas. SIAM Journal on Numerical Analysis, 44, 1854-1876.
https://doi.org/10.1137/040615109

has been cited by the following article:

• TITLE: A Second Order Characteristic Mixed Finite Element Method for Convection Diffusion Reaction Equations

  AUTHORS: Tongjun Sun

  KEYWORDS: Mixed Finite Element Method, Characteristic Method, Second Order Accuracy, Convection Diffusion Reaction Equations

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.5 No.6, June 27, 2017

  ABSTRACT: A combined approximate scheme is defined for convection-diffusion-reaction equations. This scheme is constructed by two methods. Standard mixed finite element method is used for diffusion term. A second order characteristic finite element method is presented to handle the material derivative term, that is, the time derivative term plus the convection term. The stability is proved and the L2-norm error estimates are derived for both the scalar unknown variable and its flux. The scheme is of second order accuracy in time increment, symmetric, and unconditionally stable.