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Stokes特征值问题Q_1元的展开式及其外推

Expansions and Extrapolation of Stokes Eigenvalue Problems by Bilinear Element with the Stream Function-Vorticity-Pressure Method
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摘要 考虑利用Q1元来求解Stokes特征值问题的误差渐进展开式,并以此为基础进行外推获得高精度. The asymptotic error expansion of the approximation for the Stokes eigenvalue problems by the Q1 mixed finite element with the stream function-vorticity-pressure method is considered. The Richardson extrapolation is adopted to improve the accuracy of the eigenvalue approximation.
出处 《数学的实践与认识》 CSCD 北大核心 2007年第18期194-196,共3页 Mathematics in Practice and Theory
关键词 Q1元 Stokes特征值问题 渐进误差展开式 外推 Q1 mixed finite element Stokes eigenvalue problem asymptotic error expansion Richardson extrapolation
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参考文献4

  • 1Chen W, Lin Q. Approximation of an eigenvalue problem associated with the Stokes problem by the stream function-vorticity-pressure method[J]. Appl Math, 2006,51(1) : 73--88.
  • 2Girault V, Raviart P A. Finite Element Methods for Navier-Stokes Equations[MJ. Theory and Algorithms, Berlin Heidelberg New York, Springer, 1986.
  • 3Lin Q, Lin J. Finite Element Methods: Accuracy and Inprovement[M]. Science Press, Beijing,2006.
  • 4Lin Q, Lu T. Asymptotic Expansions for Finite Element Eigenvalues and Finite Element Solution[M]. Bonn Math Schrift, 1984.

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