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Chinese Science Bulletin

, Volume 43, Issue 1, pp 22–24 | Cite as

Superconvergence for L2-projection in finite elements

  • Chuanmiao Chen
Bulletin
  • 45 Downloads

Abstract

Two classes of superconvergence points forL 2-projection un inn-degree finite elements on uniform grids are shown by element analysis method. Superconvergence points ofu n aren + 1 order Gauss point Gn+1 for oddd≳-1 (so the endpoint of each element is of superconvergent), andn + 1 order pointset Zn+1 for even n≥2 (which includes the endpoints and midpoint), respectively. Symmetry point is only an important part of them.

Keywords

superconvergence finite elements L2-projection 

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References

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    Chen, C. M., Optimal points of approximation solution for Galerkin method for two-point boundary value problem,Numer. Math. J. Chinese Univ. (in Chinese), 1979,1: 73.Google Scholar
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    Chen, C. M., Huang, Y. Q.,High Accuracy Theory of Finite Elements (in Chinese), Changsha: Hunan Science and Technique Press, 1995, 1–638.Google Scholar
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    Chen, C.M., Element analysis method and superconvergence,The first International Conference on Finite Element Methods: Superconvergence, Postprocessing and a Posteriori Estimates, Finland: Univ. Jyvaskyla, July 1–4, 1996.Google Scholar
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    Wahlbin, L., Superconvergence in Galerkin finite element methods, inLecture Notes in Math., New York: Springer, 1995, 1–166.Google Scholar

Copyright information

© Science in China Press 1998

Authors and Affiliations

  • Chuanmiao Chen
    • 1
  1. 1.Hunan Normal UniversityInstitute of ComputingChangshaChina

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