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The positions of multi-layer small inclusions are identified based on the potential layer theory
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Journal Article
The positions of multi-layer small inclusions are identified based on the potential layer theory
2026
Overview
This paper proposes a method for locating small multi-layer inclusions, addressing the challenge of accurately identifying the position and properties of such inclusions within layered materials. The difficulty lies in the complex nature of multi-layered structures, where traditional methods often fail to provide precise results. A mathematical model for multiple-layered inclusions is developed using the Laplace system to tackle this. The solution is then derived through asymptotic analysis and layer-potential techniques. The uniqueness of the recovery process is confirmed by applying the unique continuation theorem, ensuring the method’s reliability for precise identification of small inclusions in layered media.
Publisher
IOP Publishing
Subject
