Finite element heterogeneous multiscale method for the wave equation: dispersive effects
Assyr Abdulle, Marcus J. Grote, Christian Stohrer · Infoscience (Ecole Polytechnique Fédérale de Lausanne) · 2013
For limited time the propagation of waves in a highly oscillatory medium is well-described by the non-dispersive homogenized wave equation.With increasing time, however, the true solution deviates from the classical homogenization limit, as a large secondary wave train develops unexpectedly.Here, we propose a new finite element heterogeneous multiscale method (FE-HMM), which captures not only the short-time macroscale behavior of the wave field but also those secondary long-time dispersive effects.