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Pré-Publication, Document De Travail Année : 2023

On Ventcel-type transmission conditions for a Helmholtz problem with a non-uniform thin layer

Résumé

We study the asymptotic behaviour of the electric field in the transverse magnetic (TM) mode, propagating in a material composed of a two-dimensional object surrounded by a thin layer of non-constant thickness and embedded in an ambient medium. Using an asymptotic expansion of the solution u ε to the Helmholtz problem, we derive Ventcel-type transmission conditions on the limit interface Γ modelling the effect of the thin layer with accuracy up to O(ε^2).
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Dates et versions

hal-04225907 , version 1 (03-10-2023)

Identifiants

  • HAL Id : hal-04225907 , version 1

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Khaled El-Ghaouti Boutarene, Sami Galleze, Victor Péron. On Ventcel-type transmission conditions for a Helmholtz problem with a non-uniform thin layer. 2023. ⟨hal-04225907⟩

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