Energy based a posteriori analysis for finite element modeling of elastic wave propagation in heterogeneous media

Wen Xu (1, 2) , Régis Cottereau (1, 2, 3) , Bing Tie (1, 2, 3) , Denis Aubry (1, 2)

1 MSSMat - Laboratoire de mécanique des sols, structures et matériaux
2 CentraleSupélec
3 CNRS - Centre National de la Recherche Scientifique

This work deals with a posteriori quality control for FE modeling of high frequency wave propagation in heterogeneous media. Special attention should be paid here in the defini- tion of numerical models to ensure accuracy of solutions and optimality of computation costs. Herein, we propose to qualify the numerical waves in terms of energy densities governed by ra- diative transfer equations, obtained by a multi-scale asymptotic analysis and Wigner transforms. Radiative transfer residuals of FE wave solutions are used to build a posteriori error analysis.

Mots clés: a posteriori quality control; Wigner transform; energy quantity; radiative transfer equation

Domaines: Mécanique des structures [physics.class-ph]

Wen Xu, Régis Cottereau, Bing Tie, Denis Aubry. Energy based a posteriori analysis for finite element modeling of elastic wave propagation in heterogeneous media. 13e colloque national en calcul des structures, Université Paris-Saclay, May 2017, Giens, Var, France. ⟨hal-01899288⟩