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Numerical solution of the problem of a plate with ribs by the finite element method is studied in this paper. Since the regularity of a solution of the trial problem is not a priori known, the convergence of the finite element method is ensured when a space of smooth enough functions which is dense in the trial space is found. To find such a space is the main goal of this paper. Some numerical results are compared with the folded plate method in the last part.
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