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arXiv · 1407.5189

On adaptive discretization schemes for the regularization of ill-posed problems with semiiterative methods

Wolfgang Erb·Evgeniya V. Semenova
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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.

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Wolfgang Erb, Evgeniya V. Semenova. 2014-07-19. On adaptive discretization schemes for the regularization of ill-posed problems with semiiterative methods. https://arxiv.org/abs/1407.5189

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