A globally convergent numerical method for a 3D coefficient inverse problem for a wave-like equation

Abstract

A version of the convexification globally convergent numerical method is constructed for a coefficient inverse problem for a wave-like partial differential equation. The presence of the Carleman Weight Function in the corresponding Tikhonov-like cost functional ensures the global strict convexity of this functional. Numerical results are presented to illustrate the effectiveness and efficiency of the proposed method.

References in corpus (2)

• The d-bar approach to approximate inverse scattering at fixed energy in three dimensions
• Convexification for a 3D inverse scattering problem with the moving point source