FE heterogeneous multiscale method for long-time wave propagation

Assyr Abdulle (1) , Marcus J. Grote (2) , Christian Stohrer (3)

1 EPFL - Ecole Polytechnique Fédérale de Lausanne
2 Unibas - Université de Bâle = University of Basel = Basel Universität
3 POEMS - Propagation des Ondes : Étude Mathématique et Simulation

A new finite element heterogeneous multiscale method (FE-HMM) is proposed for the numerical solution of the wave equation over long times in a rapidly varying medium. Our FE-HMM captures long-time dispersive effects of the true solution at a cost similar to that of a standard numerical homogenization scheme which, however, only captures the short-time macroscale behavior of the wave field.

Domaines: Analyse numérique [cs.NA]

Assyr Abdulle, Marcus J. Grote, Christian Stohrer. FE heterogeneous multiscale method for long-time wave propagation. Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2013, 351, pp.495-499. ⟨10.1016/j.crma.2013.06.002⟩. ⟨hal-00968874⟩