3 papers
math.NA2018
Optimal Convergence Rates for Tikhonov Regularization in Besov Spaces
Frederic Weidling, Benjamin Sprung, Thorsten Hohage
This paper deals with Tikhonov regularization for linear and nonlinear ill-posed operator equations with wavelet Besov norm penalties. We show order optimal rates of convergence fo…
math.NA2016
Characterizations of variational source conditions, converse results, and maxisets of spectral regularization methods
Thorsten Hohage, Frederic Weidling
We describe a general strategy for the verification of variational source condition by formulating two sufficient criteria describing the smoothness of the solution and the degree…
math.NA2015
Variational source conditions and stability estimates for inverse electromagnetic medium scattering problems
Frederic Weidling, Thorsten Hohage
This paper is concerned with the inverse problem to recover the scalar, complex-valued refractive index of a medium from measurements of scattered time-harmonic electromagnetic wav…