GRADIENT ESTIMATES FOR ELECTRIC FIELDS WITH MULTISCALE INCLUSIONS IN THE QUASI-STATIC REGIME
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
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Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 641-656 |
| Journal / Publication | Multiscale Modeling and Simulation |
| Volume | 20 |
| Issue number | 2 |
| Online published | 24 Jun 2022 |
| Publication status | Published - 2022 |
Link(s)
| DOI | DOI |
|---|---|
| Attachment(s) | Documents
Publisher's Copyright Statement
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| Link to Scopus | https://www.scopus.com/record/display.uri?eid=2-s2.0-85135414900&origin=recordpage |
| Permanent Link | https://scholars.cityu.edu.hk/en/publications/publication(9ce502de-6495-4673-81cd-1880ca7ee668).html |
Abstract
In this paper, we are concerned with the gradient estimate of the electric field due to two nearly touching dielectric inclusions, which is a central topic in the theory of composite materials. We derive accurate quantitative characterizations of the gradient fields in the transverse electromagnetic case within the quasi-static regime, which clearly indicate the optimal blowup rate or nonblowup of the gradient fields in different scenarios. There are mainly two novelties of our study. First, the sizes of the two material inclusions may be of different scales. Second, we consider our study in the quasi-static regime, whereas most of the existing studies are concerned with the static case.
Research Area(s)
- composite optical materials, nearly touching inclusions, gradient estimates, blowup, quasi-static, multiscale, PLASMON RESONANCES, PERFECT, SYSTEM
Citation Format(s)
GRADIENT ESTIMATES FOR ELECTRIC FIELDS WITH MULTISCALE INCLUSIONS IN THE QUASI-STATIC REGIME. / DENG, Youjun; FANG, Xiaoping; LIU, Hongyu.
In: Multiscale Modeling and Simulation, Vol. 20, No. 2, 2022, p. 641-656.
In: Multiscale Modeling and Simulation, Vol. 20, No. 2, 2022, p. 641-656.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
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