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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 ribs.
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