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FE heterogeneous multiscale method for long-time wave propagation

Assyr Abdulle 1 Marcus J. Grote 2 Christian Stohrer 3 
3 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : 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.
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Submitted on : Tuesday, April 1, 2014 - 4:39:49 PM
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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⟩



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