Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (5): 557-566.

• 论文 • 上一篇    下一篇

LEAST-SQUARES MIXED FINITE ELEMENT METHOD FOR A CLASS OF STOKES EQUATION

顾海明1, 羊丹平2, 隋树林1, 刘新民1   

  1. 1. Department of Computers, Qingdao Institute of Chemical Technology, Qingdao 266042, P. R. China;
    2. Department of Mathematics, Shandong University, Jinan 250100, P. R. China
  • 收稿日期:1998-09-01 修回日期:2000-01-16 出版日期:2000-05-18 发布日期:2000-05-18
  • 基金资助:
    the Doctoral Foundation of the Educational Committe of China

LEAST-SQUARES MIXED FINITE ELEMENT METHOD FOR A CLASS OF STOKES EQUATION

Gu Haiming1, Yang Danping2, Sui Shulin1, Liu Xinmin1   

  1. 1. Department of Computers, Qingdao Institute of Chemical Technology, Qingdao 266042, P. R. China;
    2. Department of Mathematics, Shandong University, Jinan 250100, P. R. China
  • Received:1998-09-01 Revised:2000-01-16 Online:2000-05-18 Published:2000-05-18
  • Supported by:
    the Doctoral Foundation of the Educational Committe of China

摘要: A least-squares mixed finite element method was formulated for a class of Stokes equations in two dimensional domains. The steady state and the time-dependent Stokes' equations were considered. For the stationary equation, optimal H1 and L2 -error estimates are derived under the standard regularity assumption on the finite element partition(the LBB-condition is not required). For the evolutionary equation, optimal L2 estimates are derived under the conventional Raviart-Thomas spaces.

Abstract: A least-squares mixed finite element method was formulated for a class of Stokes equations in two dimensional domains. The steady state and the time-dependent Stokes' equations were considered. For the stationary equation, optimal H1 and L2 -error estimates are derived under the standard regularity assumption on the finite element partition(the LBB-condition is not required). For the evolutionary equation, optimal L2 estimates are derived under the conventional Raviart-Thomas spaces.

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