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math.AP2018
A rational framework for dynamic homogenization at finite wavelengths and frequencies
Bojan Guzina, Shixu Meng, Othman Oudghiri-Idrissi
In this study, we establish an inclusive paradigm for the homogenization of scalar wave motion in periodic media (with or without the source term) at finite frequencies and wavelen…
math.AP2018
Leading and second order homogenization of an elastic scattering problem for highly oscillating anisotropic medium
Yi-Hsuan Lin, Shixu Meng
We consider the scattering of elastic waves by highly oscillating anisotropic periodic media with bounded support. Applying the two-scale homogenization, we first obtain a constant…