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两点边值问题有限元解的校正方法 被引量:2

Correction Methods of Finite Element Solution for Two Point Boundary Problem
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摘要 本文提出了插值校正和亏损校正方法,这些方法可用来改善有限元解的精度阶。 In this paper,we suggest interpolation correction and defect correction methods.The methods can be used to improve the accuracy of finite element solution.
作者 杨一都
机构地区 贵州大学数学系
出处 《贵州大学学报(自然科学版)》 1989年第2期69-77,共9页 Journal of Guizhou University:Natural Sciences
关键词 两点边值问题 有限元解 校正方法 interpolation correctiond efect correction
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参考文献1

  • 1Jim Douglas. Galerkin approximations for the two point boundary problem using continuous, piecewise polynomial spaces[J] 1974,Numerische Mathematik(2):99~109

同被引文献19

  • 1林群,杨一都.奇异解的校正[J].系统科学与数学,1993,13(3):279-284. 被引量:2
  • 2Babuska I, Osborn J. Eigenvalue Problems. Handbook of Numerical Analysis, VOL.2, Finite Element MethodS(Part 1), Edited by P.G. Ciarlet, J.L. Lions[M]. North-Holand: Elsevier Science Publishers B.V., 1991.
  • 3Douglas J, Dupont T. Superconvergence for Galerkin methods for the two point boundary problems via local projections, Numer. Math., 1973, 21: 270-278.
  • 4Lin Q. Global error expansion and superconvergence for higher order interpolation of finite elements[J]. J. Comput. Math., 1992(Suppl.Issue.): 286-289.
  • 5Tao Tang, Jinchao Xu.Adaptive Computations:Theory and Algorithms[M]. Beijing, Science Press, 2007.
  • 6Wahlbin L B. Superconvergence in Galerkin finite element methods[M]. Springer-Verlag, 1995.
  • 7Yan N. Superconvergence analysis and a posteriori error estimation in finite element methods. Beijing:Science Press, 2008.
  • 8Zienkjewicz O C, Cheung Y K. The finite element method in structrural and continuum mechanics[M]. McGraw-Hill, 1967.
  • 9Zienkjewicz O C, Zhu J Z. The superconvergent patch recovery and a posteriori error estimates, 1: The recovery technique[J]. Internat. J. Numer. Methods Engrg., 1992, 33: 1331-1364.
  • 10Zienkjewicz O C, Zhu J Z. The superconvergent patch recovery and a posteriori error estimates, 2: Error estimates and adaptivity[J]. Internat. J. Numer. Methods Engrg., 1992, 33: 1365-1382.

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