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• W2836070825 abstract "Abstract In this paper, we deal with nonlinear ill-posed operator equations involving a monotone operator in the setting of Hilbert scales. Our convergence analysis of the proposed derivative-free method is based on the simple property of the norm of a self-adjoint operator. Using a general Hölder-type source condition, we obtain an optimal order error estimate. Also we consider the adaptive parameter choice strategy proposed by Pereverzev and Schock (2005) for choosing the regularization parameter. Finally, we applied the proposed method to the parameter identification problem in an elliptic PDE in the setting of Hilbert scales and compare the results with the corresponding method in Hilbert space." @default.
• W2836070825 created "2018-07-19" @default.
• W2836070825 creator A5050607529 @default.
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• W2836070825 date "2018-07-07" @default.
• W2836070825 modified "2023-09-25" @default.
• W2836070825 title "Derivative Free Regularization Method for Nonlinear Ill-Posed Equations in Hilbert Scales" @default.
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• W2836070825 doi "https://doi.org/10.1515/cmam-2018-0019" @default.
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