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Adaptive regularization and discretization for nonlinear inverse problems with PDEs

open access: yes, 2014
In this thesis, efficient methods for the solution of inverse problems, combining adaptive regularization and discretization are proposed. For the computation of a Tikhonov regularization parameter, we consider an inexact Newton method based on Morozov's discrepancy principle. In each step, a regularized problem is solved on a different discretization
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