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Application of a mixed finite element method to a nonlinear problem of elasticity

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Mathematical Aspects of Finite Element Methods

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 606))

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References

  1. Berger, M.S.: On von Kármán’s equations and the buckling of a thin elastic plate I, The clamped plate. Comm. Pure and Appl. Math. 20,687–720(1967).

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  2. Knightly, G.H.: An existence theorem for the von Kármán equations. Arch. Rational Mech. Anal. 27,233–242(1967).

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  3. Kantrovich, L.V. and G.P.Akilov: Functional Analysis in Normed Spaces: Pergamon press 1964.

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  4. Miyoshi, T.: A finite element method for the solutions of fourth order partial differential equations. Kumamoto J. Sci. (Math.) 9,87–116(1972).

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  5. Miyoshi, T.: A mixed finite element method for the solutions of the von Kármán equations. Numer Math. (to appear).

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  6. Miyoshi, T.: Lumped mass approximation to the nonlinear bending of elastic plates. (to appear)

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Authors and Affiliations

  1. Department of Mathematics, Kumamoto University, Kumamoto, Japan

    T. Miyoshi

Authors
  1. T. Miyoshi
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Ilio Galligani Enrico Magenes

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© 1977 Springer-Verlag

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Miyoshi, T. (1977). Application of a mixed finite element method to a nonlinear problem of elasticity. In: Galligani, I., Magenes, E. (eds) Mathematical Aspects of Finite Element Methods. Lecture Notes in Mathematics, vol 606. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064465

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  • DOI: https://doi.org/10.1007/BFb0064465

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08432-7

  • Online ISBN: 978-3-540-37158-8

  • eBook Packages: Springer Book Archive

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