A posteriori global error estimator based on the error in the constitutive relation for reduced basis approximation of parametrized linear elastic problems

Laurent Gallimard (1) , David Ryckelynck (2)

1 LEME - Laboratoire Energétique Mécanique Electromagnétisme
2 MAT - Centre des Matériaux

Mots clés: Finite element analysis; Model reduction; Error bounds; Global error estimator; Reduced basis error indicator; Finite element error indicator

Domaines: Physique [physics]; Matière Condensée [cond-mat]; Science des matériaux [cond-mat.mtrl-sci]

Laurent Gallimard, David Ryckelynck. A posteriori global error estimator based on the error in the constitutive relation for reduced basis approximation of parametrized linear elastic problems. Applied Mathematical Modelling, 2016, 40, pp.4271-4284. ⟨10.1016/j.apm.2015.11.016⟩. ⟨hal-01305736⟩