This article is cited in 1 paper

The best possible for the convergence of the semimixed finite element method for the main boundary-value problems of the theory of shallow shells in polygonal regions

L. V. Maslovskaya

Odessa

Abstract: Best possible bounds are derived for the rate of convergence of a version of the finite element method for the main boundary-value problems of the theory of flat shells in a polygonal region. Approximation theorems are proved for the Sobolev weight spaces, making it possible to derive bounds with minimal assumptions on the smoothness of the solution. Recommendations are made concerning the choice of the degrees of the approximating splines, depending on the smoothness of the solution.

UDC: 519.6:539.3

MSC: Primary 74S05; Secondary 74K15, 65N12, 35B65

Received: 09.03.1989

 English version: USSR Computational Mathematics and Mathematical Physics, 1990, 30:2, 114–120

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