The Impact of the Discrepancy Principle on the Tikhonov-Regularized Solutions with Oversmoothing Penalties

The Impact of the Discrepancy Principle on the Tikhonov-Regularized Solutions with Oversmoothing Penalties

This paper deals with the Tikhonov regularization for nonlinear ill-posed operator equations in Hilbert scales with oversmoothing penalties. One focus is on the application of the discrepancy principle for choosing the regularization parameter and its consequences. Numerical case studies are perform...

Full description

Bibliographic Details
Main Authors: Bernd Hofmann, Christopher Hofmann
Format: Article
Language:English
Published: MDPI AG 2020-03-01
Series:Mathematics
Subjects:
tikhonov regularization
oversmoothing penalty
discrepancy principle
nonlinear ill-posed problems
hilbert scales
convergence
rates
Online Access:https://www.mdpi.com/2227-7390/8/3/331

Internet

https://www.mdpi.com/2227-7390/8/3/331

Similar Items