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The Global ETD Search service is a free service for researchers
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Showing 1 to 2 of 2 (0.072 seconds)Spelling suggestions: "subject:"regularisierung"" "subject:"gitterregularisierung""
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Parameter choice in Banach space regularization under variational inequalitiesHofmann, Bernd, Mathé, Peter 17 April 2012 (has links) (PDF)
The authors study parameter choice strategies for Tikhonov regularization of nonlinear ill-posed problems in Banach spaces. The effectiveness of any parameter choice for obtaining convergence rates depend on the interplay of the solution smoothness and the nonlinearity structure, and it can be expressed concisely in terms of variational inequalities. Such inequalities are link conditions between the penalty term, the norm misfit and the corresponding error measure. The parameter choices under consideration include an a priori choice, the discrepancy principle as well as the Lepskii principle. For the convenience of the reader the authors review in an appendix a few instances where the validity of a variational inequality can be established.
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Parameter choice in Banach space regularization under variational inequalitiesHofmann, Bernd, Mathé, Peter January 2012 (has links)
The authors study parameter choice strategies for Tikhonov regularization of nonlinear ill-posed problems in Banach spaces. The effectiveness of any parameter choice for obtaining convergence rates depend on the interplay of the solution smoothness and the nonlinearity structure, and it can be expressed concisely in terms of variational inequalities. Such inequalities are link conditions between the penalty term, the norm misfit and the corresponding error measure. The parameter choices under consideration include an a priori choice, the discrepancy principle as well as the Lepskii principle. For the convenience of the reader the authors review in an appendix a few instances where the validity of a variational inequality can be established.
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