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Hybrid methods for fourth order elliptic equations

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

Abstract

A "displacement version" of the assumed stresses hybrid method is proposed for solving fourth order elliptic equations with Dirichlet boundary conditions.

Keywords

  • Finite Dimensional Space
  • Order Problem
  • Green Formula
  • Finite Dimensional Subspace
  • Potential Energy Principle

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References

  1. T.H.H. PIAN, P. TONG: "Basis of finite element methods for solid continua". Internat. Journal Numer. Methods Enginering 1, 3–28, 1969.

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  9. F. BREZZI: "On the existence, uniqueness and approximation of saddle point problems arising from Lagrangian multipliers". R.A.I.R.O., 8, 129–151, 1974.

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© 1977 Springer-Verlag

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Brezzi, F. (1977). Hybrid methods for fourth order elliptic equations. 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/BFb0064454

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  • DOI: https://doi.org/10.1007/BFb0064454

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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