A new edge-multiscale homogenization method for high-wavenumber Maxwell equations in heterogeneous media achieves near-linear mesh-size scaling with wavenumber via a nonstandard variational formulation.
Bulovyatov , A parallel multigrid method for band structure computation of 3D photonic crystals with higher order finite elements , PhD thesis, Karlsruhe, Univ., Diss., 2010
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Numerical homogenization for indefinite time-harmonic Maxwell equations
A new edge-multiscale homogenization method for high-wavenumber Maxwell equations in heterogeneous media achieves near-linear mesh-size scaling with wavenumber via a nonstandard variational formulation.