Convergence rate of the modified Landweber method for solving inverse potential problems
- 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.
| Author details: | Pornsarp PornsawadORCiDGND, Parada Sungcharoen, Christine BöckmannORCiDGND |
|---|---|
| DOI: | https://doi.org/10.3390/math8040608 |
| ISSN: | 2227-7390 |
| Title of parent work (English): | Mathematics : open access journal |
| Publisher: | MDPI |
| Place of publishing: | Basel |
| Publication type: | Article |
| Language: | English |
| Date of first publication: | 2020/04/16 |
| Publication year: | 2020 |
| Release date: | 2024/01/11 |
| Tag: | discrepancy principle; logarithmic source condition; modified Landweber method; nonlinear operator; regularization |
| Volume: | 8 |
| Issue: | 4 |
| Article number: | 608 |
| Number of pages: | 22 |
| Funding institution: | Faculty of Science of Silpakorn University [148 SRF-JRG-2561-07]; Centre; of Excellence in Mathematics of Mahidol University |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Peer review: | Referiert |
| Publishing method: | Open Access / Gold Open-Access |
| DOAJ gelistet | |
| License (German): |  CC-BY - Namensnennung 4.0 International |
