A Newton type iterative method for heat-conduction inverse problems

DOI10.1007/s10483-007-0414-yzbMath1231.65099OpenAlexW2061711010MaRDI QIDQ940277

Ze-Hong Meng, Guo-qiang He

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-007-0414-y

zbMATH Keywords

inverse problemsNewton type methodimplicit iterative methodnonlinear ill-posed operator equationsiteration stopping rule

Mathematics Subject Classification ID

Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical solution to inverse problems in abstract spaces (65J22) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items

On an inverse problem for a parabolic equation with the Cauchy data on a part of the lateral boundary of a cylinder, Newton-type methods and their modifications for inverse heat conduction problems, A mixed Newton-Tikhonov method for nonlinear ill-posed problems

Cites Work

• A posteriori parameter choice strategies for some Newton type methods for the regularization of nonlinear ill-posed problems
• The problem of the convergence of the iteratively regularized Gauss- Newton method
• A Lepskij-type stopping rule for regularized Newton methods
• Analysis of Discrete Ill-Posed Problems by Means of the L-Curve
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