Title: Identification of an inclusion in Multifrequency Electrical Impedance Tomography

Speaker: Professor Faouzi Triki

Datetime: 14:30p.m.-15:15p.m. March 29th

Venus: A1-512 Main Building

Abstract

In the talk I will present recent results on multifrequency electrical impedance tomography. The inverse problem consists in identifying a conductivity inclusion inside a homogeneous background medium by injecting one current. I will use an original spectral decomposition of the solution of the forward conductivity problem to retrieve the Cauchy data corresponding to the extreme case of perfect conductor. Considering results based on the unique continuation I will then prove the uniqueness of the multifrequency electrical impedance tomography and obtain rigorous stability estimates. Finally, I will present numerical results inspired by the developed theoretical approach.

  Faouzi Triki教授现为法国格勒诺布尔大学教授，主要研究兴趣为反问题和渐进分析建模，已在J. Differential Equations，SIAM J. Appl. Math.，Inverse Problems，SIAM J. Math. Anal.等期刊上发表论文三十余篇。