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Numerical simulation of high frequency waves in highly heterogeneous media is a challenging problem. Resolving the fine structure of the wave field typically requires extremely small time steps and spatial meshes. We show that capturing macroscopic quantities of the wave field, such as the wave energy density, is achievable with much coarser discretizations. We obtain such a result using a time splitting algorithm that solves separately and successively propagation and scattering in the simplified...
Numerical simulation of high frequency waves in highly heterogeneous
media is a challenging problem. Resolving the fine structure of the
wave field typically requires extremely small time steps and spatial
meshes. We show that capturing macroscopic quantities of the wave
field, such as the wave energy density, is achievable with much
coarser discretizations. We obtain such a result using a time
splitting algorithm that solves separately and successively
propagation and scattering in the...
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