Iterative algorithm for solving the inverse heat conduction problems with the unknown source function

DOI10.1080/17415977.2014.986723zbMath1329.65210OpenAlexW2004947062MaRDI QIDQ3466147

Nikolai D. Botkin, Karl-Heinz Hoffmann, Michał J. Ciałkowski, Andrzej Frąckowiak

Publication date: 1 February 2016

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

Full work available at URL: https://doi.org/10.1080/17415977.2014.986723

zbMATH Keywords

inverse problemPoisson equationunknown source function

Mathematics Subject Classification ID

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

Related Items (3)

Numerical solution of continuation problem for 3D steady-state diffusion in cylindrically layered medium ⋮ Inverse heat transfer analysis for design and control of a micro-heater array ⋮ Inverse identification of time-harmonic loads acting on thin plates using approximated Green’s functions

Cites Work

• The method of fundamental solutions for the inverse heat source problem
• The method of fundamental solutions for a time-dependent two-dimensional Cauchy heat conduction problem
• The dual reciprocity boundary element method for solving Cauchy problems associated to the Poisson equation
• Application of the variational iteration method to inverse heat source problems
• Decomposition methods for nonlinear, non-characteristic Cauchy heat problems
• A meshless method for solving nonhomogeneous Cauchy problems
• A method of fundamental solutions for inverse heat conduction problems in an anisotropic medium
• The determination of two heat sources in an inverse heat conduction problem
• Numerical solution of the Cauchy problem for steady-state heat transfer in two-dimensional functionally graded materials
• Numerical solution of a Cauchy problem for the Laplace equation
• A Variational Method and Approximations of a Cauchy Problem for Elliptic Equations
• The determination of heat sources in two dimensional inverse steady heat problems by means of the method of fundamental solutions
• Recovering the source term in a linear diffusion problem by the method of fundamental solutions
• A non-local boundary value problem method for the Cauchy problem for elliptic equations
• The Cauchy problem for Laplace's equation via the conjugate gradient method
• A variational method for identifying a spacewise-dependent heat source
• Identification of source locations in two-dimensional heat equations

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