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.


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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