Regularization of systems of nonlinear ill-posed equations: II. Applications
Numerical Analysis
2020-11-20 v1 Numerical Analysis
Abstract
In part I we introduced modified Landweber-Kaczmarz methods and have established a convergence analysis. In the present work we investigate three applications: an inverse problem related to thermoacoustic tomography, a nonlinear inverse problem for semiconductor equations, and a nonlinear problem in Schlieren tomography. Each application is considered in the framework established in the previous part. The novel algorithms show robustness, stability, computational efficiency and high accuracy.
Keywords
Cite
@article{arxiv.2011.09913,
title = {Regularization of systems of nonlinear ill-posed equations: II. Applications},
author = {M. Haltmeier and R. Kowar and A. Leitao and O. Scherzer},
journal= {arXiv preprint arXiv:2011.09913},
year = {2020}
}
Comments
20 pages, 12 figures