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服从幂律的拟牛顿流动稳定化有限元方法

STABILIZED FINITE ELEMENT METHODS OF A QUASI-NEWTONIAN FLOW OBEYING POWER LAW
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摘要 In this paper, a Galerkin /least squares-type finite element method is proposed for a quasi-Newtonian flow, where the viscosity obeys the power law, The method is consistent and stable for P1/P1(PO) and Q1/Q1(QO) combination of discrete velocity and pressure spaces (without requiring the "inf-sup" stability condition).The existence, uniqueness and convergence of the discrete solution is proved. In this paper, a Galerkin /least squares-type finite element method is proposed for a quasi-Newtonian flow, where the viscosity obeys the power law, The method is consistent and stable for P1/P1(PO) and Q1/Q1(QO) combination of discrete velocity and pressure spaces (without requiring the 'inf-sup' stability condition).The existence, uniqueness and convergence of the discrete solution is proved.
作者 周磊 周天孝
出处 《计算数学》 CSCD 北大核心 1997年第4期409-420,共12页 Mathematica Numerica Sinica
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二级参考文献4

  • 1周天孝,J Comput Math,1995年,13卷,2期,172页
  • 2周天孝,Math Comput,1993年,60卷,202期,531页
  • 3周天孝,Proceedings of the Second Conference on Numer Meth for Part Differ Equations,1991年
  • 4周天孝,中国科学,1981年,1期,13页

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