A Numerical Study for Convergence of a Classic 3D Problem Solved by BEM

  • Guo-Ming Han
  • Hong-Bao Li
Conference paper
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)

Abstract

The convergence problem of solution of 3D structural analysis by using BEM has not been mathematically well-proven. As an example, a numerical study for convergence computation of a classic 3D shell problem (a ring with circular cross-section under concentrated loading) solved by using BEM is presented. Some numerical analysis experience in 30 BEM with isoparametric element has also been summarized in this paper. By way of a great number of numerical examples, the generation of meshes, singular integration, traction discontinuity, concentrated loading and so on are given. An interesting numerical comparison of the BEM solution to that of FEM is obtained to show that the BEM is better than the FEM for this kind of problem.

Keywords

Boundary Element Method Concentrate Loading Symmetrical Plane Isoparametric Element Ring Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • Guo-Ming Han
    • 1
  • Hong-Bao Li
    • 1
  1. 1.Zhengzhou Research Institute of Mechanical EngineeringZhengzhou, HenanThe People’s Republic

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