A Regularization Scheme for 2D Conductivity Imaging by the D-Bar Method. (10th September 2019)

• Record Type: Journal Article
• Authors: El Arwadi, Toufic; Sayah, Toni
• Is Part Of: Numerical functional analysis and optimization. Volume 40:Number 12(2019)
• Page Start: 1410
• Page End: 1425
• Publication Date: 2019-09-10
• Subjects: D-bar Method -- Inverse conductivity problem; 65R32; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2019.1606011
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: This article deals with the D-bar method in order to determine the conductivity distribution inside a body from the electrical measurements at the boundary. We introduce a new algorithm called t m B regularization which allows us to get a high order error estimates. Then we prove the stability of the corresponding method and we treat the case of nonsmooth conductivities.