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- W4225484924 abstract "We consider a family of -periodic Schrödinger operators with rapidly oscillating potentials on , where is a Bravais lattice of , the two-scale potential is -periodic with zero mean with respect to its second variable, is -periodic, and . We construct correctors at second-order in for both the linear equation with fixed right-hand side and the eigenvalue problem and use these correctors to obtain accurate estimates on physical observables such as the integrated density of states. We illustrate numerically that second-order corrections to the homogenized solution can significantly improve the first-order ones, even when is not small." @default.
- W4225484924 created "2022-05-05" @default.
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- W4225484924 date "2023-06-16" @default.
- W4225484924 modified "2023-10-14" @default.
- W4225484924 title "Second-Order Homogenization of Periodic Schrödinger Operators with Highly Oscillating Potentials" @default.
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- W4225484924 doi "https://doi.org/10.1137/22m1478446" @default.
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