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A regularization scheme for 2D conductivity imaging by the D-bar method

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 tBm 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 non-smooth conductivities.

Author(s)

Toufic Mohamad Anis El Arwadi

Coauthor(s)

Toni Sayah

Journal/Conference Information

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION,DOI: https://doi.org/10.1080/01630563.2019.1606011, Volume: 40, Issue: 12, Pages Range: 0-15,