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- W3105686119 endingPage "045001" @default.
- W3105686119 startingPage "045001" @default.
- W3105686119 abstract "In this paper we study adaptive discretization of the iteratively regularized Gauss-Newton method IRGNM with an a posteriori (discrepancy principle) choice of the regularization parameter in each Newton step and of the stopping index. We first of all prove convergence and convergence rates under some accuracy requirements formulated in terms of four quantities of interest. Then computation of error estimators for these quantities based on a weighted dual residual method is discussed, which results in an algorithm for adaptive refinement. Finally we extend the results from the Hilbert space setting with quadratic penalty to Banach spaces and general Tikhonov functionals for the regularization of each Newton step." @default.
- W3105686119 created "2020-11-23" @default.
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- W3105686119 date "2014-02-28" @default.
- W3105686119 modified "2023-09-27" @default.
- W3105686119 title "Goal oriented adaptivity in the IRGNM for parameter identification in PDEs: I. reduced formulation" @default.
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- W3105686119 doi "https://doi.org/10.1088/0266-5611/30/4/045001" @default.
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