What question did this study set out to answer?

Develop a convergent iterative numerical technique to solve inverse heat conduction problems and reconstruct unknown source functions across multiply connected regions.

December 6, 2014Inverse Problems in Science and EngineeringOpen Access

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

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Authors

AFAndrzej FrąckowiakPoznan University of Medical Sciences NBNikolai D. BotkinTechnical University of Munich MCMichał CiałkowskiPoznań University of Technology

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Implication

Computational study demonstrates a convergent polyharmonic iterative algorithm for unknown heat sources in multiply connected regions, highlighting improved accuracy for inverse problem solutions.

Key Points

Develop a convergent iterative numerical technique to solve inverse heat conduction problems and reconstruct unknown source functions across multiply connected regions.
Replaced the Cauchy problem for the Laplace equation in a multiply connected domain with a Poisson equation set in a simply connected domain containing an adjoined region.
Developed a convergent iterative algorithm based on polyharmonic functions to calculate the intensity of the unknown source function.
Evaluated the effect of varying the order of the polyharmonic function on the overall numerical accuracy of the solution.
Demonstrated that the polyharmonic iterative scheme systematically converges to recover the unknown heat source function.
Observed that increasing the order of the polyharmonic function directly influences and refines the precision of the reconstructed thermal solution.

Cite This Study

Frąckowiak et al. (2014) studied this question.

synapsesocial.com/papers/6aad1038ae3cd3e8f83dea40 https://doi.org/10.1080/17415977.2014.986723

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Implication

Computational study demonstrates a convergent polyharmonic iterative algorithm for unknown heat sources in multiply connected regions, highlighting improved accuracy for inverse problem solutions.

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

Discussion

Member takes

Implication

Key Points

Cite This Study

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

Discussion

Member takes

Implication

Key Points

Cite This Study

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