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Computational Mechanics ’86 pp 159–164Cite as

Development of Hierarchal Finite Element Methods at BIAA

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Summary

Research work on the hierarchal finite element method at BIAA is reported. Three kinds of hierarchal shape functions based on the polynomials of progressively ascending power are presented in explicit and the neatest form, and their merits and demerits are compared with one another. Unified and explicit formulas for evaluating the relevant element matrices are developed such as to reduce the numerical error during computation to the lowest level. Sample examples are given to show the efficiency and advantages of the present hierarchal finite element method.

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References

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Author information

Authors and Affiliations

  1. The Solid Mechanics Research Center, Beijing Institute of Aeronautics and Astronautics, Beijing, China

    Zhu De-Chao

Authors
  1. Zhu De-Chao
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Editor information

Editors and Affiliations

  1. Department of Nuclear Engineering, The University of Tokyo, 3-1, Hongo 7-chome, Bunkyo-ku, Tokyo 113, Japan

    Genki Yagawa

  2. Center for the Advancement of Computational Mechanics, School of Civil Engineering, Georgia Institute of Technology, 225, North Avenue, Atlanta, GA, 30332, USA

    Satya N. Atluri

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© 1986 Springer Japan

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De-Chao, Z. (1986). Development of Hierarchal Finite Element Methods at BIAA. In: Yagawa, G., Atluri, S.N. (eds) Computational Mechanics ’86. Springer, Tokyo. https://doi.org/10.1007/978-4-431-68042-0_17

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  • DOI: https://doi.org/10.1007/978-4-431-68042-0_17

  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-68044-4

  • Online ISBN: 978-4-431-68042-0

  • eBook Packages: Springer Book Archive

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