Mixed Higher Order Spectral Finite Elements for Reissner-Mindlin Equations in the Time Domain - Archive ouverte HAL Access content directly
Journal Articles SIAM Journal on Scientific Computing Year : 2007

Mixed Higher Order Spectral Finite Elements for Reissner-Mindlin Equations in the Time Domain

Abstract

We construct a class of high order numerical approximations for the Reissner-Mindlin plate model in the time domain, based on mixed spectral finite elements with mass lumping. In this way we obtain explicit time-stepping schemes. We first compare the Reissner-Mindlin model to three-dimensional (3D) solutions to validate our method. Then, we show the advantages of the schemes in terms of accuracy and computational time.
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Dates and versions

hal-00976782 , version 1 (10-04-2014)

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Gary Cohen, Pascal Grob. Mixed Higher Order Spectral Finite Elements for Reissner-Mindlin Equations in the Time Domain. SIAM Journal on Scientific Computing, 2007, 29 (3), pp.986-1005. ⟨10.1137/050642332⟩. ⟨hal-00976782⟩
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