Stochastic bridging of scales in the Arlequin framework

Régis Cottereau (1) , Hachmi Ben Dhia (1) , Didier Clouteau (1)

1 MSSMat - Laboratoire de mécanique des sols, structures et matériaux

As the use of multiscale and multiphysics models spreads out, the need to use stochastic models increases. However the numerical costs associated with the resolution of such models is usually much larger than that of their deterministic counterpart. We present here a method, set in the Arlequin framework, to couple a probabilistic model with a deterministic one, therefore introducing randomness only where necessary to improve the reliability of our quantities of interest.

Mots clés: Multiscale modeling; Stochastic modeling; Coupling method; Arlequin method; Homogenization

Domaines: Mécanique [physics.med-ph]

Régis Cottereau, Hachmi Ben Dhia, Didier Clouteau. Stochastic bridging of scales in the Arlequin framework. 9e Colloque national en calcul des structures, CSMA, May 2009, Giens, France. ⟨hal-01413823⟩