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Symmetric finite element computation of convection-diffusion equations on a URR machine

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Abstract

We approximate convection-diffusion equations with irrotational flows by a symmetric finite element formulation. Since very large real numbers appear in this formulation, we realize it on a URR (an internal representation method of real numbers) machine where practically no overflow/underflow occurs. Numerical results show that this formulation is applicable for sufficiently high Peclet number problems and is promising in terms of computation time and storage.

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Authors and Affiliations

  1. Department of Computer Science and Information-Mathematics, The University of Electro-Communications, 182, Chofu, Tokyo, Japan

    Masahisa Tabata, Yoshiichi Ozeki & Hozumi Hamada

Authors
  1. Masahisa Tabata
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  2. Yoshiichi Ozeki
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  3. Hozumi Hamada
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Tabata, M., Ozeki, Y. & Hamada, H. Symmetric finite element computation of convection-diffusion equations on a URR machine. Japan J. Indust. Appl. Math. 8, 153–163 (1991). https://doi.org/10.1007/BF03167190

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  • DOI: https://doi.org/10.1007/BF03167190

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