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Some Remarks on Free Mesh Method: A Kind of Meshless Finite Element Method

  • G. Yagawa
  • T. Yamada
  • H. Kawai
Conference paper

Abstract

To efficiently simulate complicated physical phenomena with dynamics and non-linearity using computational mechanics, distributed parallel processing techniques for large-scale finite element analyses and adaptive analysis techniques, which modify finite element models dynamically according to posteriori error estimation, are strongly needed. To implement an analysis system, which has the above mentioned capabilities, such kinds of techniques as mesh generation, domain decomposition for load balancing, finite element analysis, posteriori error estimation and remeshing, should be integrated into a system on a distributed parallel environment such as massively parallel processor (MPP). This, however, would make the finite element analysis system too complicated.

Keywords

Central Node Posteriori Error Estimation Candidate Node Satellite Node Nodal Pattern 
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

  1. [1]
    B. Nayroles, G. Touzot and P. Villon, “Generating the Finite Element Method: Diffuse Approximation and Diffuse Elements”, Comp. Mech., 10, 307–318 (1992).MATHCrossRefGoogle Scholar
  2. [2]
    T. Belytschko, Y. Y. Lu and L. Gu, “Element-Free Galerkin Methods”, Int. J. Numer. Methods Eng., 37, 339–256 (1994).MathSciNetGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • G. Yagawa
    • 1
  • T. Yamada
    • 1
  • H. Kawai
    • 1
  1. 1.Faculty of EngineeringUniversity of TokyoBunkyo-ku, Tokyo 113Japan

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