On convergence and convergence rates for Ivanov and Morozov regularization and application to some parameter identification problems in elliptic PDEs

DOI10.1088/1361-6420/aab739zbMath1415.65128arXiv1801.10181OpenAlexW3103586881MaRDI QIDQ4569356

Andrej Klassen, Barbara Kaltenbacher

Publication date: 28 June 2018

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.10181

zbMATH Keywords

parameter identificationnonlinear ill-posed problemTikhonov regularizationIvanov regularizationMorozov regularizationvariational source conditionmethod of residualsmethod of quasisolution

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Inverse problems in optimal control (49N45) Numerical solution to inverse problems in abstract spaces (65J22)

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