数学季刊 ›› 2007, Vol. 22 ›› Issue (1): 43-51.

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对流占优扩散问题流线扩散法的最优误差估计--线性三角元

  

  1. 1.Department of Mathematics,Hebei University of Technology,Tianjin 300130,China; 2.Department of Mathematics,Tianjin University of Finance and Economics,Tianjin 300222,China
  • 收稿日期:2004-10-12 出版日期:2007-03-30 发布日期:2023-11-13
  • 作者简介:ZHOU Jun-ming(1964-),male,native of Fuxin,Liaoning,an associate professor of Hebei University of Technology,Ph.D.,engages in the theories of the finite element method.
  • 基金资助:
     Supported by the National Natural Science Foundation of China(10471103);

Analysis of Linear Triangular Elements for Convection-diffusion Problems by Streamline Diffusion Finite Element Methods

  1. 1.Department of Mathematics,Hebei University of Technology,Tianjin 300130,China; 2.Department of Mathematics,Tianjin University of Finance and Economics,Tianjin 300222,China
  • Received:2004-10-12 Online:2007-03-30 Published:2023-11-13
  • About author:ZHOU Jun-ming(1964-),male,native of Fuxin,Liaoning,an associate professor of Hebei University of Technology,Ph.D.,engages in the theories of the finite element method.
  • Supported by:
     Supported by the National Natural Science Foundation of China(10471103);

摘要: This paper is devoted to studying the superconvergence of streamline diffusion finite element methods for convection-diffusion problems.In [8], under the condition that ε≤h2 the optimal finite element error estimate was obtained in L2-norm.In the present paper,however,the same error estimate result is gained under the weaker condition that ε≤h.

关键词: convection-diffusion, streamline diffusion finite element methods, linear trian- gular elements, superconvergence

Key words: convection-diffusion, streamline diffusion finite element methods, linear trian- gular elements, superconvergence

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