A new regularization of the D-bar method with complex conductivity. Issue 5 (4th May 2021)

• Record Type: Journal Article
• Authors: El Arwadi, Toufic; Sayah, Toni
• Is Part Of: Complex variables and elliptic equations. Volume 66:Issue 5(2021)
• Page Start: 826
• Page End: 842
• Publication Date: 2021-05-04
• Subjects: Inverse conductivity problems -- complex conductivity -- regularization; 35J15; Functions of complex variables -- Periodicals; Differential equations, Elliptic -- Periodicals; 515.905
• DOI: 10.1080/17476933.2020.1747056
• Languages: English
• ISSNs: 1747-6933

Abstract

Abstract : The aim of the D-bar method is to solve inverse conductivity problems. For complex conductivity, Hamilton et al. presented a reconstruction method which consists of six steps. In this article, we present a new regularization denoted by S m based on an iterative algorithm which allows us to reconstruct an approximation of the conductivity of the domain. The advantage of this new regularization is the performance of high-order error estimates.