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Publications

Papers in refereed journals

  • J. Flemming, B. Hofmann: Convergence rates in constrained Tikhonov regularization: equivalence of projected source conditions and variational inequalities, Inverse Problems, 2011, volume 27, issue 8, page 085001 (11 pp)
  • J. Flemming: Solution smoothness of ill-posed equations in Hilbert spaces: four concepts and their cross connections, 2010; to appear in Applicable Analysis, available online, DOI: 10.1080/00036811.2011.563736
  • J. Flemming, B. Hofmann, P. Mathé: Sharp converse results for the regularization error using distance functions, Inverse Problems, 2011, volume 27, issue 2, page 025006 (18 pp); earlier version: WIAS Preprint No. 1535, Weierstrass Institute for Applied Analysis and Stochastics, Berlin, 2010, PDF file
  • J. Flemming: Theory and examples of variational regularization with non-metric fitting functionals, Journal of Inverse and Ill-posed Problems, 2010, volume 18, issue 6, pages 677-699; earlier version: Preprint series of the Department of Mathematics 2010-14, Chemnitz University of Technology, PDF file
  • J. Flemming, B. Hofmann: A new approach to source conditions in regularization with general residual term, Numerical Functional Analysis and Optimization, 2010, volume 31, issue 3, pages 254-284; earlier version available at arXiv:0906.3438v1 [math.NA]

Books

  • J. Flemming: Generalized Tikhonov regularization and modern convergence rate theory in Banach spaces, Shaker Verlag, Aachen, 2012, ISBN 978-3-8440-0867-8

Theses

  • J. Flemming: Generalized Tikhonov regularization. Basic theory and comprehensive results on convergence rates, dissertation, Chemnitz University of Technology, October 2011, PDF file (or permanent link)
  • J. Geissler (now J. Flemming): Untersuchungen zu Konvergenzraten bei der Tikhonov-Regularisierung mit allgemeinen Abstandsfunktionalen (Studies on convergence rates for Tikhonov regularization with general residual functionals), diploma thesis, Chemnitz University of Technology, June 2009, in German, corrected version (PDF)