Author:
Gavrilieva Uygulaana,Vasilyeva Maria,Harris Isaac,Chung Eric T.,Efendiev Yalchin
Abstract
Abstract
In this paper, we consider the wave scattering problem in heterogeneous domain. The mathematical model is described by the Helmholtz equation for time-harmonic wave propagation with absorbing boundary condition. We construct a coarse grid approximation for the efficient numerical solution on coarse grids using the Multiscale Finite Element Method (MsFEM), where we construct a multiscale space using solution of some local problems in each local domain. Numerical results are presented to illustrate the performance of the method.
Subject
General Physics and Astronomy
Reference10 articles.
1. The interior transmission problem for regions with cavities;Cakoni;SIAM Journal on Mathematical Analysis,2010
2. On the homogenization of a scalar scattering problem for highly oscillating anisotropic media;Cakoni;SIAM Journal on Mathematical Analysis,2016
3. Homogenization approach for the transmission eigenvalue problem for periodic media and application to the inverse problem;Cakoni,2014
4. The factorization method for a defective region in an anisotropic material;Cakoni;Inverse Problems,2015
5. A generalized multiscale finite element method for elastic wave propagation in fractured media;Chung;GEM-International Journal on Geomathematics,2016
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