33 citations · 303 across the 46 of their papers we have counts for
3 papers · 1 filter
Regularization of inverse problems via box constrained minimization
Philipp Hungerländer, Barbara Kaltenbacher, Franz Rendl
In the present paper we consider minimization based formulations of inverse problems $(x,Φ)\in\mbox{argmin}\{\mathcal{J}(x,Φ;y)\colon(x,Φ)\in M_{ad}(y) \}$ for the specific but hig…
Regularization of ill-posed problems with non-negative solutions
Christian Clason, Barbara Kaltenbacher, Elena Resmerita
This survey reviews variational and iterative methods for reconstructing non-negative solutions of ill-posed problems in infinite-dimensional spaces. We focus on two classes of met…
On convergence and convergence rates for Ivanov and Morozov regularization and application to some parameter identification problems in elliptic PDEs
Barbara Kaltenbacher, Andrej Klassen
In this paper we provide a convergence analysis of some variational methods alternative to the classical Tikhonov regularization, namely Ivanov regularization (also called method o…