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- W4288000136 abstract "In this article we are interested in quantitative homogenization results for linear elliptic equations in the non-stationary situation of a straight interface between two heterogenous media. This extends the previous work [Josien, 2019] to a substantially more general setting, in which the surrounding heterogeneous media may be periodic or random stationary and ergodic. Our main result is a quantification of the sublinearity of a homogenization corrector adapted to the interface, which we construct using an improved version of the method developed in [Fischer and Raithel, 2017]. This quantification is optimal up to a logarithmic loss and allows to derive almost-optimal convergence rates." @default.
- W4288000136 created "2022-07-26" @default.
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- W4288000136 date "2019-12-02" @default.
- W4288000136 modified "2023-09-25" @default.
- W4288000136 title "Quantitative homogenization for the case of an interface between two heterogeneous media" @default.
- W4288000136 doi "https://doi.org/10.48550/arxiv.1912.00724" @default.
- W4288000136 hasPublicationYear "2019" @default.
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