Comparisons and improvements concerning the accuracy and robustness of inverse heat conduction algorithms

DOI10.1080/1068276042000303206zbMath1161.65354OpenAlexW2064902979MaRDI QIDQ5902035

Rogelio Luck, John T. Berry, Xingjian Xue

Publication date: 29 May 2009

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

Full work available at URL: https://doi.org/10.1080/1068276042000303206

zbMATH Keywords

uncertaintyobserverrobustnesssingular value decompositioninverse heat conductionconjugate gradientill-posedzero-phase filter

Mathematics Subject Classification ID

Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items

Estimation of front surface temperature and heat flux of a locally heated plate from distributed sensor data on the back surface, Inverse estimation of surface heating condition in a three-dimensional object using conjugate gradient method, Comparison of global and sequential methods for an inverse heat transfer problem

Cites Work

• Unnamed Item
• A note on conjugate gradient convergence
• Rank-Deficient and Discrete Ill-Posed Problems
• A non-iterative finite element method for inverse heat conduction problems
• A Nonlinear Conjugate Gradient Method with a Strong Global Convergence Property
• On the Convergence of the Conjugate Gradient Method for Singular Linear Operator Equations
• New properties of a nonlinear conjugate gradient method
• Solution to inverse heat conduction problems employing singular value decomposition and model-reduction