A comparison of the Landweber method and the Gauss--Newton method for an inverse parabolic boundary value problem

DOI10.1016/j.cam.2003.12.019zbMath1056.65093OpenAlexW2020844590MaRDI QIDQ1877206

Philipp Kügler, R. S. Chapko

Publication date: 16 August 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2003.12.019

zbMATH Keywords

heat equationregularizationnumerical experimentsboundary identificationLandweber methodregularized Gauss-Newton methodill-posed inverse problemthermal imagingnondestructive material testing

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems in thermodynamics and heat transfer (80A23)

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Cites Work

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• A modified Landweber iteration for solving parameter estimation problems
• On the numerical solution of direct and inverse problems for the heat equation in a semi-infinite region
• A convergence analysis of the Landweber iteration for nonlinear ill-posed problems
• On the Landweber iteration for nonlinear ill-posed problems
• Boundary estimation problems arising in thermal tomography
• Boundary shape identification problems in two-dimensional domains related to thermal testing of materials
• On the numerical solution of an inverse boundary value problem for the heat equation
• The Landweber iteration applied to inverse conductive scattering problems
• A convergence analysis of iterative methods for the solution of nonlinear ill-posed problems under affinely invariant conditions
• A modified landweber method for inverse problems
• Iterative methods for the reconstruction of an inverse potential problem
• An Inverse Problem in Thermal Imaging

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