A globally convergent numerical method for a 3D coefficient inverse problem for a wave-like equation
Numerical Analysis
2021-11-09 v1 Numerical Analysis
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.
Cite
@article{arxiv.2111.04242,
title = {A globally convergent numerical method for a 3D coefficient inverse problem for a wave-like equation},
author = {Michael V. Klibanov and Jingzhi Li and Wenlong Zhang},
journal= {arXiv preprint arXiv:2111.04242},
year = {2021}
}