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Uniform convergence and a posteriori error estimators for the enhanced strain finite element method. (English) Zbl 1050.65097
The authors present rigorous error estimates for the enhanced strain finite element method for the linear elasticity problem. The first result is an a priori convergence estimate which is uniform in (i.e., independent of) the relevant Lamé constant \(\lambda\). Then a residual-based a posteriori estimate is given for the \(L^2\) norm of the stress error.

MSC:
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N15 Error bounds for boundary value problems involving PDEs
74B05 Classical linear elasticity
74S05 Finite element methods applied to problems in solid mechanics
35J25 Boundary value problems for second-order elliptic equations
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