Applied Mathematics and Mechanics

, Volume 24, Issue 12, pp 1456–1465 | Cite as

Coarse-mesh-accuracy improvement of bilinear Q4-plane element by the combined hybrid finite element method

  • Xie Xiao-ping
  • Zhou Tian-xiao


The combined hybrid finite element method is of an intrinsic mechanism of enhancing coarse-mesh-accuracy of lower order displacement schemes. It was confirmed that the combined hybrid scheme without energy error leads to enhancement of accuracy at coarse meshes, and that the combination parameter plays an important role in the enhancement. As an improvement of conforming bilinear Q4-plane element, the combined hybrid method adopted the most convenient quadrilateral displacements-stress mode, i. e., the mode of compatible isoparametric bilinear displacements and pure constant stresses. By adjusting the combined parameter, the optimized version of the combined hybrid element was obtained and numerical tests indicated that this parameter-adjusted version behaves much better than Q4-element and is of high accuracy at coarse meshes. Due to elimination of stress parameters at the elemental level, this combined hybrid version is of the same computational cost as that of Q4-element.

Key words

finite element hybrid method zero energy-error coarse-mesh-accuracy 

Chinese Library Classification number


2000 Mathematics Subject Classification

65N12 65N30 


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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 2003

Authors and Affiliations

  • Xie Xiao-ping
    • 1
  • Zhou Tian-xiao
    • 2
  1. 1.Mathematical CollegeSichuan UniversityChengduP. R. China
  2. 2.Aeronautical Computing Technique Research InstituteXi'anP. R. China

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