Inverse inclusion problem: A stable method to determine disks

Faouzi Triki, Chun Hsiang Tsou

研究成果: 雜誌貢獻期刊論文同行評審

6 引文 斯高帕斯(Scopus)

摘要

In this paper we are interested in the inverse inclusion problem in the plane. We derived Hölder stability estimates for the inversion using a general single boundary measurement, and under the assumption that the inclusion has a circular shape. The Hölder power in the stability estimates only depends on the position of the target inclusion and shows that the identification is better when the inclusion is closer to the boundary. We finally proposed a simple minimizing numerical scheme for the recovery of the inclusion. Our numerical results are in good agreement with the obtained Hölder stability estimates.

原文???core.languages.en_GB???
頁(從 - 到)3259-3281
頁數23
期刊Journal of Differential Equations
269
發行號4
DOIs
出版狀態已出版 - 5 8月 2020

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