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Pré-Publication, Document De Travail Année : 2016

L 2 convergence rates of elliptic boundary value problems with singular parameterizations for Isogeometric analysis

Résumé

In this paper, we discuss the impact of singular parameterizations on L 2 convergence rates of elliptic boundary value problems by deriving a priori estimate. Different from the traditional finite element method, for an elliptic boundary value problem with a non-smooth weak solution, the L 2 convergence rate is improved by controlling singularities of a parameterization in the framework of Isogeometric analysis. Several numerical experiments are presented.
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Dates et versions

hal-01276699 , version 1 (19-02-2016)
hal-01276699 , version 2 (14-11-2016)

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  • HAL Id : hal-01276699 , version 1

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Meng Wu, Yicao Wang, Bernard Mourrain, Boniface Nkonga. L 2 convergence rates of elliptic boundary value problems with singular parameterizations for Isogeometric analysis. 2016. ⟨hal-01276699v1⟩
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