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.
Download full text files
SHA-512:35abb5fa38fe0bf58fd64d767a54a0677214d8afb98b9afbd4fa3fff3c733b48e4ac48465a7569cda293c4235826da734144b92897d6a6faadc2f2adca14ce39
Additional Services
| Author details: | Pornsarp PornsawadORCiDGND, Parada Sungcharoen, Christine BöckmannORCiDGND |
|---|---|
| URN: | urn:nbn:de:kobv:517-opus4-471942 |
| DOI: | https://doi.org/10.25932/publishup-47194 |
| ISSN: | 1866-8372 |
| Title of parent work (German): | Postprints der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe |
| Publication series (Volume number): | Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe (1034) |
| Publication type: | Postprint |
| Language: | English |
| Date of first publication: | 2020/12/15 |
| Publication year: | 2020 |
| Publishing institution: | Universität Potsdam |
| Release date: | 2020/12/15 |
| Tag: | discrepancy principle; logarithmic source condition; modified Landweber method; nonlinear operator; regularization |
| Issue: | 1034 |
| Number of pages: | 24 |
| Source: | Mathematics 8(2020) 4, 608; DOI:10.3390/math8040608 |
| 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 / Green Open-Access |
| License (German): |  CC-BY - Namensnennung 4.0 International |
