An error bounding technique for the certification of Galerkin-POD surrogates
Résumé
In this paper, we present an upper bounding technique for reduced order modelling applied to homogenisation. The error estimate relies on the construction of a reduced model for the stress field. Upon ensuring that the reduced stress satisfies the equilibrium in the finite element sense, the bounding property is obtained. We show that the sharpness of the estimate can be seamlessly controlled by adapting the parameters of the reduced order model for the stress field.
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