Numerische Mathematik

, Volume 44, Issue 3, pp 349–361

A convergence condition for the quadrilateral Wilson element

  • Zhong-ci Shi

DOI: 10.1007/BF01405567

Cite this article as:
Shi, Z. Numer. Math. (1984) 44: 349. doi:10.1007/BF01405567


The paper deals with the convergence properties of the nonconforming quadrilateral wilson element which violates the patch test. The convergence of the element is proved under a certain condition on mesh subdivisions without any modifications of the variational formulation. This result extends the range of applicability of Wilson's element. The necessity of the proposed condition is also discussed.

Subject Classifications

AMS(MOS): 65N30 CR: G 1.8 

Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • Zhong-ci Shi
    • 1
  1. 1.Fachbereich MathematikJohann Wolfgang Goethe-UniversitätFrankfurt a.M. (Fed. Rep.)
  2. 2.Department of MathematicsChina University of Science and TechnologyHefeiPeople's Republic of China

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