Solution smoothness of ill-posed equations in Hilbert spaces: four concepts and their cross connections

Numerical solution of ill-posed operator equations requires regularization techniques. The convergence of regularized solutions to the exact solution can be usually guaranteed, but to also obtain estimates for the speed of convergence one has to exploit some kind of smoothness of the exact solution....

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Bibliographic Details

Published in:	Applicable analysis Vol. 91; no. 5; pp. 1029 - 1044
Main Author:	Flemming, Jens
Format:	Journal Article
Language:	English
Published:	Abingdon Taylor & Francis Group 01.05.2012 Taylor & Francis Ltd
Subjects:	Approximation Convergence Euclidean space Exact solutions Hilbert space ill-posed problem Inequalities Mathematical analysis Mathematical functions Mathematical models Mathematical problems Numerical analysis Smoothness source condition variational inequality
ISSN:	0003-6811, 1563-504X
Online Access:	Get full text
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