Least-squares finite element approximations for the Reissner-Mindlin plate (Q2760366)
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scientific article; zbMATH DE number 1684522
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Least-squares finite element approximations for the Reissner-Mindlin plate |
scientific article; zbMATH DE number 1684522 |
Statements
19 December 2001
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Reissner-Mindlin plate
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least-squares functional
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finite elements
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weighted norms
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mixed variational formulation
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Helmholtz decomposition of transverse shear strain
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ellipticity
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error estimates
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Least-squares finite element approximations for the Reissner-Mindlin plate (English)
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0.9549699
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0.94693315
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0.94458896
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0.94367236
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0.9400122
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The authors start from a mixed variational formulation combined with the Helmholtz decomposition of transverse shear strain, which has been analyzed by \textit{F. Brezzi} and \textit{M. Fortin} [Math. Comput. 47, 151-158 (1986; Zbl 0596.73058)]. Several least-squares functionals are proposed, involving weighted \(H^{-1}\) and \(L^2\)-norms. The ellipticity and some error estimates are proven, provided the exact solution is regular enough. The cases of clamped or completely free plate boundary are considered separately.
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