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Conforming and nonconforming finite element methods for solving the plate problem

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Conference on the Numerical Solution of Differential Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 363))

Abstract

For the clamped plate problem (Ω ⊂ R2):

$$\Delta ^2 u = f in \Omega , u = \frac{{\partial u}}{{\partial n}} = 0 on \partial \Omega {\mathbf{ }},$$

various finite element methods are described and compared as regards their asymptotic order of convergence. A particular emphasis is put upon the connections between the patch test and convergence for nonconforming methods.

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Authors
  1. P. G. Ciarlet
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G. A. Watson

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© 1974 Springer-Verlag

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Ciarlet, P.G. (1974). Conforming and nonconforming finite element methods for solving the plate problem. In: Watson, G.A. (eds) Conference on the Numerical Solution of Differential Equations. Lecture Notes in Mathematics, vol 363. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069122

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  • DOI: https://doi.org/10.1007/BFb0069122

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06617-0

  • Online ISBN: 978-3-540-37914-0

  • eBook Packages: Springer Book Archive

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