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The convergence of a mixed finite element method for steady convective incompressible viscous flow

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Abstract

Some results on the convergence of the “assumed deviatoric stress-pressure-velocity” mixed finite element method for steady, convective, incompressible, viscous flow are given. An abstract error estimate is proved, which shows that the same LBB conditions for hybrid finite element method for Stokes flow are also applicable to the present method. An unusual term appears in the estimate, the rate of convergence for this term is examined. To make our idea clear, the same finite element method is applied to single elliptic equations first.

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Authors and Affiliations

  1. Department of Mathematics, Peking University, Beijing, China

    L. -A. Ying

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  1. L. -A. Ying
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Communicated by S. N. Atluri, April 18, 1986

This work was supported by the Science Foundation of Academia Sinica, No. (84)-103

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Ying, L.A. The convergence of a mixed finite element method for steady convective incompressible viscous flow. Computational Mechanics 2, 45–53 (1987). https://doi.org/10.1007/BF00282043

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  • DOI: https://doi.org/10.1007/BF00282043

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