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A posteriori analysis of a finite element discretization of a Naghdi shell model. (English) Zbl 1329.74268

Summary: We are interested in the finite element discretization of the Naghdi equations, which model a thin three-dimensional shell. The discrete problem is derived from a mixed formulation of these equations. Its a posteriori analysis leads to the construction of error indicators, which satisfy optimal estimates. We describe a mesh adaptivity strategy relying on these indicators and we present some numerical experiments that confirm its efficiency.

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74K25 Shells
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N15 Error bounds for boundary value problems involving PDEs

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