Homogenization

Homogenization and Wave Functional Materials

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B9 L2 R2325

In this talk, I will give a brief review on the progress from on homogenization and its impact on achieving unusual wave functional materials, such as zero-index materials in which the effective refractive index is vanishing.

Physics-informed Neural Networks for Learning the Homogenized Coefficients of Multiscale Elliptic Equations

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KAUST

Abstract Multiscale elliptic equations with scale separation are often approximated by the corresponding homogenized equations with slowly varying homogenized coefficients (the G-limit). The traditional homogenization techniques typically rely on the periodicity of the multiscale coefficients, thus finding the G-limits often requires sophisticated techniques in more general settings even when multiscale coefficient is known, if possible. Alternatively, we propose a simple approach to estimate the G-limits from (noisy-free or noisy) multiscale solution data, either from the existing forward

Zainab Alali

Visiting Student, Waves in Complex Media
Research Interests ​Zainab Alali is doing Directed Research in WCM group for the summer 2013.

Bingmu Xiao

Master, KAUST 2013 Research Interests: Homogenization