On the Homogenization of a Scalar Scattering Problem for Highly Oscillating Anisotropic Media

DOI10.1137/15M1018009zbMath1343.35245MaRDI QIDQ3188465

Bojan B. Guzina, Shari Moskow, Fioralba Cakoni

Publication date: 11 August 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

scatteringhigher-order expansiontwo-scale homogenizationperiodic inhomogeneities

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Boundary value problems for higher-order elliptic equations (35J40) Inverse problems for PDEs (35R30) Electromagnetic theory (general) (78A25)

Related Items (9)

A convergent low-wavenumber, high-frequency homogenization of the wave equation in periodic media with a source term ⋮ Homogenization of the wave equation with non-uniformly oscillating coefficients ⋮ On the dynamic homogenization of periodic media: Willis’ approach versus two-scale paradigm ⋮ Scattering by Finely Layered Obstacles: Frequency-Explicit Bounds and Homogenization ⋮ A homogenized model accounting for dispersion, interfaces and source points for transient waves in 1D periodic media ⋮ Limiting boundary correctors for periodic microstructures and inverse homogenization series ⋮ Scattering of gravity waves by a periodically structured ridge of finite extent ⋮ Leading and second order homogenization of an elastic scattering problem for highly oscillating anisotropic medium ⋮ Scattering by a Bounded Highly Oscillating Periodic Medium and the Effect of Boundary Correctors

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