Projection method for Fractional Lavrentiev Regularisation method in Hilbert scales
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Date
2022
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Journal ISSN
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Publisher
Springer Science and Business Media B.V.
Abstract
We study finite dimensional Fractional Lavrentiev Regularization (FLR) method for linear ill-posed operator equations in the Hilbert scales. We obtain an optimal order error estimate under Hölder type source condition and under a parameter choice strategy. Numerical experiments confirming the theoretical results are also given. © 2022, The Author(s), under exclusive licence to The Forum D’Analystes.
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Keywords
Discrepancy principle, Finite dimension, Hilbert scales, Ill-posed problem, Lavrentiev Regularization
Citation
Journal of Analysis, 2022, , , pp. -