On adaptive discretization schemes for the regularization of ill-posed problems with semiiterative methods
Numerical Analysis
2014-07-22 v1
Abstract
In this paper we investigate an adaptive discretization strategy for ill-posed linear prob- lems combined with a regularization from a class of semiiterative methods. We show that such a discretization approach in combination with a stopping criterion as the discrepancy principle or the balancing principle yields an order optimal regularization scheme and allows to reduce the computational costs.
Cite
@article{arxiv.1407.5189,
title = {On adaptive discretization schemes for the regularization of ill-posed problems with semiiterative methods},
author = {Wolfgang Erb and Evgeniya V. Semenova},
journal= {arXiv preprint arXiv:1407.5189},
year = {2014}
}
Comments
19 pages, 5 figures, 4 tables