arXiv Analytics

Sign in

arXiv:2011.09913 [math.NA]AbstractReferencesReviewsResources

Regularization of systems of nonlinear ill-posed equations: II. Applications

M. Haltmeier, R. Kowar, A. Leitao, O. Scherzer

Published 2020-11-19Version 1

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.

Comments: 20 pages, 12 figures
Journal: Inverse Problems and Imaging 1 (2007), no. 3, 507-523
Categories: math.NA, cs.NA
Subjects: 65J20, 65J15, 47J06
Related articles: Most relevant | Search more
arXiv:1509.05084 [math.NA] (Published 2015-09-16)
An Accelerated Dual Gradient Method and Applications in Viscoplasticity
arXiv:1209.2246 [math.NA] (Published 2012-09-11)
An Application of Source Inequalities for Convergence Rates of Tikhonov Regularization with a Non-differentiable Operator
arXiv:1512.06626 [math.NA] (Published 2015-12-21)
Banded operational matrices for Bernstein polynomials and application to the fractional advection-dispersion equation

Links

Toolbox