Nonlinear Tikhonov regularization in Hilbert scales for inverse boundary value problems with random noise

DOI10.3934/ipi.2008.2.271zbMath1160.65023OpenAlexW2327825075MaRDI QIDQ998871

Mihaela Pricop, Thorsten Hohage

Publication date: 30 January 2009

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

Full work available at URL: https://doi.org/10.3934/ipi.2008.2.271

zbMATH Keywords

convergencenumerical experimentsparameter identificationTikhonov regularizationreconstructiondiffusion coefficientrandom noiseHilbert scalesstatistical inverse probleminverse elliptic boundary value problemsreaction coefficient

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear differential equations in abstract spaces (34G20) Inverse problems for PDEs (35R30) Nonlinear ill-posed problems (47J06) Numerical solutions to equations with nonlinear operators (65J15) Inverse problems involving ordinary differential equations (34A55) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Numerical solution to inverse problems in abstract spaces (65J22) Numerical solution of inverse problems involving ordinary differential equations (65L09)

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