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Sur la convergence des méthodes d’éléments finis nonconformes pour des problèmes linéaires de coques minces. (On the convergence of nonconforming finite element method for linear thin shell problems). (French) Zbl 0673.73060

In this paper, we study the convergence of nonconforming finite element method for the approximation of general thin shell problems. We give sufficient conditions for convergence for a large class of finite elements, then we estimate the error on the displacements and on the stresses.
Reviewer: P.Trouvé

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74K15 Membranes
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
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