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T-coercivity for the asymptotic analysis of scalar problems with sign-changing coefficients in thin periodic domains

Abstract : We study a scalar problem in thin periodic composite media formed by two materials, a classical one and a metamaterial (also known as negative material). By applying T-coercivity methods and homogenization techniques specific to the thin periodic domains under consideration, for two geometric settings, we derive the homogenized limit problems, which both exhibit dimension-reduction effects.
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https://hal.inria.fr/hal-02974043
Contributor : Karim Ramdani <>
Submitted on : Wednesday, October 21, 2020 - 3:03:23 PM
Last modification on : Friday, December 4, 2020 - 3:29:21 PM

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Renata Bunoiu, Karim Ramdani, Claudia Timofte. T-coercivity for the asymptotic analysis of scalar problems with sign-changing coefficients in thin periodic domains. 2020. ⟨hal-02974043⟩

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