Forschungsinteressen
- Inverse und schlecht gestellte Probleme
- Regularisierungstheorie
- Iterative Verfahren in Banachraum
- Impedanz Tomographie
Publikationen
1. Mixed gradient Tikhonov methods for solving non-linear ill-posed problems in Banach spaces, Inverse Problems, 2016. Submitted.
2. An inexact Newton regularization in Banach spaces based on the nonstationary iterated Tikhonov method, J. Inverse Ill-Posed Problems 23(4), 373–392, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, 2014, with A. Rieder.
3. A Kaczmarz version of the REGINN-Landweber iteration for ill-posed problems in Banach spaces, SIAM J. Numer. Anal. 52(3), 1439-1465, 2014, with A. Rieder and A. Leitão.
Dissertation
Fábio Margotti, On Inexact Newton Methods for Inverse Problems in Banach Spaces, KIT-2015 (Betreuer: Prof. Dr. Andreas Rieder).
Masterarbeit (auf Portuguiesich)
Fábio Margotti, Métodos Tipo Newton Inexatos para Problemas Inversos, UFSC-2011 (Betreuer: Prof. Dr. Antonio C. G. Leitão).