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Further results on ultraconvergence derivative recovery for odd-order rectangular finite elements 被引量:1

Further results on ultraconvergence derivative recovery for odd-order rectangular finite elements
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摘要 For rectangular finite element, we give a superconvergence method by SPR technique based on the generalization of a new ultraconvergence record and the sharp Green function estimates, by which we prove that the derivative has ultra-convergence of order O(hk+3) (k 3 being odd) and displacement has order of O(hk+4) (k 4 being even) at the locally symmetry points. For rectangular finite element, we give a superconvergence method by SPR technique based on the generalization of a new ultraconvergence record and the sharp Green function estimates, by which we prove that the derivative has ultra-convergence of order O(h k+3) (k ? 3 being odd) and displacement has order of O(h k+4) (k ? 4 being even) at the locally symmetry points.
出处 《Science China Mathematics》 SCIE 2009年第8期1671-1684,共14页 中国科学:数学(英文版)
关键词 finite element ultra-convergence LOCALLY symmetric MESHES SPR operator finite element ultra-convergence locally symmetric meshes SPR operator 65N30
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  • 1Zhu Q D,Meng L X,Some results of the derivative recovery technique for odd - order quadrilateral elements. (2002) (To appear).
  • 2Li B, Zhang Z M, Analysis of a class of superconvergence patch recovery for linear and bilinear finite elements[ J]. Num. Meth. for PDES. 1999,15 :151 - 157.
  • 3Zienkiewiez O C,Zhu J Z.The superconvergence patch recovery and a posterior estimates[J]. Part I :The recovery technique. Int J Numer Methods Eng,1992,33:1331 - 1364.
  • 4Zienkiewicz O C,Zhu J Z.The superconvergence patch recovery and a posterior estimates[ J]. Part 2: Error estimates and adaptivity. Int J Numer Methods Eng, 1992,33:1365- 1382.
  • 5Zienkiewicz O C,Zhu J Z.The superconvergence patch recorery (SPR) and adaptive finite element refinement[J]. Compt Methods Appl Mech Eng,1992, 101:207 - 224.
  • 6Lin Q, Zhu Q D, The Preprocessing and Postprocessing for the Finite Element Method [ M ]. Shanghai: Shanghai Sci. and Tech. Publishers, 1994, ( in Chinese).
  • 7Zhang Z M. Uhraconvergence of the patch recovery technique[J]. Mathematics of Computation, 1996,216(65) : 1431 - 1437.
  • 8Zhnng Z M, Ultraconvergence of the patch recovery technique II[J]. Math Comp, 2000,69:141 - 158.
  • 9Zhu Q D, Lin Q,The superconvergence theory of finite element methods, (in Chinese)[M]. Changsha: Hunan scientific and technical publishers.1989.
  • 10Qiding Zhu,Qinghua Zhao.SPR technique and finite element correction[J].Numerische Mathematik.2003(1)

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