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Reissner-Mindlin板问题的一种有限元近似解

The Approximate solutions of the Finite Element Method for the Reissner-Mindlin Plate
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摘要 通过应用对板的厚度做局部修改的混合有限元方法,计算R e issner-M ind lin板问题的近似解,得到横向位移和旋度的误差分别在H1模和L2模意义下的阶都是2,并且它们不依赖于板的厚度. We compute the approximate solutions of Reissner-Mindlin plates using finite element method, in which only the plate-thickness is locally madified. Error bounds o(h2) are established in H1 and L2 -norms for both transverse displacement and rotation, the bound are independent of the thickness of the plate.
出处 《数学的实践与认识》 CSCD 北大核心 2007年第19期127-133,共7页 Mathematics in Practice and Theory
关键词 Reissner-Mindlin板问题 有限元方法 近似解 Reissner-Mindlin plates finite element method approximate solution
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参考文献4

  • 1Duan H. Two Finite Element Methods for Reissner-Mindlin Plates, to appear.
  • 2Ciarlet P G. The Finite Element Method for Elliptic Problems[M]. North-Holland, Amsterdam,1978.
  • 3Brezzi F, Fortin M. Mixed Hybrid Finite Element Methods[M]. Springer-Verlag,1991.
  • 4Lin Q, Lin J. Finite Element Methods : Accuracy and Improvement[M]. Science Press, Beijing, 2006.

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