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Finite Element Models Based on the Method of Weighted Residuals

  • H. Y. Yang
  • Z. G. Zhao
  • L. J. Ni
Conference paper

Abstract

The most general equation of weighted residuals for finite element method is presented and based on this the compatibility, equilibrium and mixed/hybrid models of finite element method are deduced. It is pointed out that with the weight functions being appropriately chosen these models will reduce to the wellknown ones which are based on the variational principles. The problem about the conditions of continuity of some variables acrossing the interface of elements and some other substantial problems in current finite element method are discussed. The possibility of more widespread application of the method of weighted residuals to practice is revealed.

Keywords

Weight Function Trial Function Weighted Residual Minimum Potential Energy Nite Element 
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References

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    Yang, H. Y. and Zhao, Z. G., The mixed method of line-location with its applications in elasticity, Int. J. Computers and Structures, Vol.21, No,4, 1985.Google Scholar
  2. 2.
    Zienkiewicz, O. C., The finite element method in engineering science, 2nd ed., McGraw-Hill, London, 1971.MATHGoogle Scholar
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    Kwok, W. L., Cheung, Y.K. and Delcourt, C., Application of least square collocation technique in finite element and finite strip formulation, Int. J. Numerical Method in Engineering, Vol.11, 1977.Google Scholar
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    Carey, G.F., Cheung, Y.K. and Lau, S.L., Mixed operator problems using least square finite element collocation, Computer Method in Applied Mechanics and Engineering, 22, 1980.Google Scholar

Copyright information

© Springer Japan 1986

Authors and Affiliations

  • H. Y. Yang
    • 1
  • Z. G. Zhao
    • 1
  • L. J. Ni
    • 1
  1. 1.Department of MechanicsTianjin UniversityTianjinChina

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