higher-order expansion

Wednesday, February 15, 2017 - 11:30am - 12:20pm
Shari Moskow (Drexel University)
We study the homogenization of a transmission problem arising in the scattering theory for bounded inhomogeneities with periodic coefficients modeled by the anisotropic Helmholtz equation. The coefficients are assumed to be periodic functions of the fast variable, specified over the unit cell with characteristic size epsilon. Using multiple scale expansion, we find bulk and boundary corrections to the leading-order (O(1)) homogenized transmission problem.
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