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Anisotropic Error Estimates in the Layers

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Singular Problems in Shell Theory

Abstract

As we saw in the last chapter, the normal displacement u3, as a solution of the limit membrane model, is at best in L2(Ω), whereas the solution \(u^\varepsilon_3\) of the Koiter model is in H2(Ω) (for ε> 0). Consequently, boundary and internal layers, leading to singularities of the displacements inside the layers, may appear during the asymptotic process when ε decreases toward zero.

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Sanchez-Palencia, E., Millet, O., Béchet, F. (2010). Anisotropic Error Estimates in the Layers. In: Singular Problems in Shell Theory. Lecture Notes in Applied and Computational Mechanics, vol 54. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13815-7_4

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  • DOI: https://doi.org/10.1007/978-3-642-13815-7_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-13814-0

  • Online ISBN: 978-3-642-13815-7

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