Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (6): 561-569.

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MIXED COMPATIBLE ELEMENT AND MIXED HYBRID INCOMPATIBLE ELEMENT VARIATIONAL METHODS IN DYNAMICS OF VISCOUS BAROTROPIC FLUIDS

Shen Xiao-ming   

  1. Baoshan Branch of Shanghai TV University, Shanghai
  • Received:1992-09-12 Online:1994-06-18 Published:1994-06-18

Abstract: This paper presents and proves the mixed compatible finite element variationalprinciples in dynamics of viscous barotropic fluids. When the principles are proved, itis found that the compatibility conditions of stress can be naturally satisfied. The gene-rallzed variational principles with mixed hybrid incompatible finite elements are alsopresented and proved, and they can reduce the computation of incompatible elements indynamics of viscous barotropic flows.

Key words: Lü-system, chaos control, partial linearization, mechanics of viscous fluids, computational fluid mechanics, vari-ational principle, finite element method, mixed compatible el-ement, mixed hybrid incompatible element

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