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Mixed compatible element and mixed hybrid incompatible element variational methods in dynamics of viscous barotropic fluids

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Abstract

This paper presents and proves the mixed compatible finite element variational principles in dynamics of viscous barotropic fluids. When the principles are proved, it is found that the compatibility conditions of stress can be naturally satisfied. The generalized variational principles with mixed hybrid incompatible finite elements are also presented and proved, and they can reduce the computation of incompatible elements in dynamics of viscous barotropic flows.

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Authors and Affiliations

  1. Baoshan Branch of Shanghai TV University, Shanghai

    Shen Xiao-ming

Authors
  1. Shen Xiao-ming
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Communicated by Chien Wei-zang

First Received Dec. 2, 1991.

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Xiao-ming, S. Mixed compatible element and mixed hybrid incompatible element variational methods in dynamics of viscous barotropic fluids. Appl Math Mech 15, 561–569 (1994). https://doi.org/10.1007/BF02450769

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  • DOI: https://doi.org/10.1007/BF02450769

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