Pointwise and local error estimates for the quantities of interest in two-dimensional elasticity. (English) Zbl 1221.74071
Summary: A technique is presented to obtain pointwise and local a posteriori error estimates for the quantities of interest in finite-element approximations to linear elasticity problems. Two numerical experiments on stress concentration problems are presented to validate the analysis. They show that useful error estimates on the global energy of the error and on the local peak stresses can be achieved with coarse meshes.
MSC:
| 74S05 | Finite element methods applied to problems in solid mechanics |
| 65N15 | Error bounds for boundary value problems involving PDEs |
| 65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |
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