Finite element analysis for the axisymmetric Laplace operator on polygonal domains (Q633969)

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scientific article; zbMATH DE number 5934915
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Finite element analysis for the axisymmetric Laplace operator on polygonal domains
scientific article; zbMATH DE number 5934915

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    Finite element analysis for the axisymmetric Laplace operator on polygonal domains (English)
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    2 August 2011
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    The author makes an exhaustive analysis of the finite element method for the axisymmetric Laplace operator in polygonal domains. In this respect, two new weighted Sobolev-type spaces are defined and a new projection operator from the weighted space to the finite element subspace is defined.
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    axisymmetric Poisson's equation
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    weighted Sobolev space
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    finite element method
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    optimal convergence rate
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