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A second order characteristic finite element scheme for convection-diffusion problems

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Summary.

A new characteristic finite element scheme is presented for It is of second order accuracy in time increment, symmetric, and unconditionally stable. Optimal error estimates are proved in the framework of \(L^2\)-theory. Numerical results are presented for two examples, which show the advantage of the scheme.

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Authors and Affiliations

  1. Department of Mathematics, Shandong University, Jinan, 250100 China; e-mail: hxrui@sdu.edu.cn , , , , , , CN

    Hongxing Rui

  2. Department of Mathematical Sciences, Kyushu University, Fukuoka, 812-8581 Japan; e-mail: tabata@math.kyushu-u.ac.jp , , , , , , JP

    Masahisa Tabata

Authors
  1. Hongxing Rui
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  2. Masahisa Tabata
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Received November 22, 2000 / Revised version received July 11, 2001 / Published online October 17, 2001

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Rui, H., Tabata, M. A second order characteristic finite element scheme for convection-diffusion problems. Numer. Math. 92, 161–177 (2002). https://doi.org/10.1007/s002110100364

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  • DOI: https://doi.org/10.1007/s002110100364

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