Convergence Rate of the Modified Landweber Method for Solving Inverse Potential Problems-Reference-Cited by-同舟云学术

Convergence Rate of the Modified Landweber Method for Solving Inverse Potential Problems

Published:2020-04-16 Issue:4 Volume:8 Page:608
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Pornsawad Pornsarp^ORCID,Sungcharoen Parada,Böckmann Christine^ORCID

Abstract

In this paper, we present the convergence rate analysis of the modified Landweber method under logarithmic source condition for nonlinear ill-posed problems. The regularization parameter is chosen according to the discrepancy principle. The reconstructions of the shape of an unknown domain for an inverse potential problem by using the modified Landweber method are exhibited.

Funder

Faculty of Science of Silpakorn University

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/8/4/608/pdf

Reference21 articles.

1. Logarithmic convergence rate of Levenberg–Marquardt method with application to an inverse potential problem

2. Iterative methods for the reconstruction of an inverse potential problem

3. A Second Degree Method for Nonlinear Inverse Problems

4. On level set regularization for highly ill-posed distributed parameter estimation problems

5. Logarithmic convergence rates of the iteratively regularized Gauss - Newton method for an inverse potential and an inverse scattering problem

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