Estimation of Linear Functionals on Sobolev Spaces with Application to Fourier Transforms and Spline Interpolation
- 1 March 1970
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Numerical Analysis
- Vol. 7 (1), 112-124
- https://doi.org/10.1137/0707006
Abstract
Summary:A nonconforming finite element method solving the problem of clamped plate with ribs is proposed and discussed. The ribs are assumed stiff against bending and rotsion in the sense of the Saint-Venant theory. The method presented makes use of Ari-Adini's polynomials. error estimates are derived and analysed. A convergence assertion (independent of the regularity of solution) is proved in the special case of nonintersecting ribsKeywords
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