22 citations · 49 across the 6 of their papers we have counts for
6 papers
Oversmoothing Tikhonov regularization in Banach spaces
De-Han Chen, Bernd Hofmann, Irwin Yousept
This paper develops a Tikhonov regularization theory for nonlinear ill-posed operator equations in Banach spaces. As the main challenge, we consider the so-called oversmoothing sta…
Variational source conditions in Lp-spaces
De-Han Chen, Irwin Yousept
We propose and analyze variational source conditions (VSC) for the Tikhonov regularization method with Lp-norm penalties for a general ill-posed operator equation in a Banach space…
Convergence Rates of Tikhonov Regularizations for Elliptic and Parabolic Inverse Radiativity Problems
De-Han Chen, Daijun Jiang, Jun Zou
We shall study in this paper the Lipschitz type stabilities and convergence rates of Tikhonov regularization for the recovery of the radiativities in elliptic and parabolic systems…
Variational source conditions for the reconstruction of distributed fluxes
De-Han Chen, Yousept Irwin, Jun Zou
This paper is devoted to the inverse problem of recovering the unknown distributed flux on an inaccessible part of boundary using measurement data on the accessible part. We establ…
Elastic-net regularization versus -regularization for linear inverse problems with quasi-sparse solutions
De-Han Chen, Bernd Hofmann, Jun Zou
We consider the ill-posed operator equation with an injective and bounded linear operator mapping between and a Hilbert space , possessing the unique solutio…
Well-posedness of a Pulsed Electric Field Model in Biological Media and its Finite Element Approximation
Habib Ammari, Dehan Chen, Jun Zou
This work aims at providing a mathematical and numerical framework for the analysis on the effects of pulsed electric fields on biological media. Biological tissues and cell suspen…