Space-Frecuency Domain Approximation of Waves in Dispersive Media

Abstract

A finite element iterative domain decomposition algorithm is used to simulate the propagation of waves in bounded viscoacoustic media with absorbing boundary conditions at
the artificial boundaries. For each frequency, the space-frequency iterative domain decomposition formulation leads to the solution of a collection of non-coercive elliptic problems with
Robin type boundary conditions being employed to transmit information between subdomains.
Numerical examples showing the implementation of the procedure are also presented.