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On the Inverse Problem in Variational Calculus

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Computational Mechanics ’95

  • 23 Accesses

Abstract

Calculus of variations is a very important tool to study mechanics, physics and other else technical science. The importance of variational method has been tested by a lot of facts in many fields. But how to find a general method to convert the boundary value problem into stationary value problem, has been attended to by many mathematicians and mechanicians, and this problem is called the inverse problem in calculus of variations.

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References

  1. Gurtin, M. E., Variational principles for linear elasto-dynamics, Arch. Rat. Mech., 16 (1964).

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  2. Lou En, On various Gurtin-type variational principles in linear elastodynamics. Sciemia Sinica (Serial A), 9 (1987).

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Author information

Authors and Affiliations

  1. Northern Jiao-tong University, Beijing, 100044, P.R.China

    Zhang Zimao

  2. Harbin Engineering University, Harbin, 150001, P.R.China

    Liang Lifu

Authors
  1. Shi Zhifei
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  2. Zhang Zimao
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  3. Liang Lifu
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Editor information

Editors and Affiliations

  1. Computational Modeling Center, Georgia Institute of Technology, Atlanta, GA, 30332-0356, USA

    S. N. Atluri

  2. Department of Quantum Engineering & Systems Science, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113, Japan

    G. Yagawa

  3. Department of Mechanical Engineering, Vanderbilt University, P.O. Box 1592, Station B, Nashville, TN, 37235, USA

    Thomas Cruse

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© 1995 Springer-Verlag Berlin Heidelberg

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Zhifei, S., Zimao, Z., Lifu, L. (1995). On the Inverse Problem in Variational Calculus. In: Atluri, S.N., Yagawa, G., Cruse, T. (eds) Computational Mechanics ’95. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79654-8_28

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  • DOI: https://doi.org/10.1007/978-3-642-79654-8_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-79656-2

  • Online ISBN: 978-3-642-79654-8

  • eBook Packages: Springer Book Archive

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