Journal of Inverse and Ill-posed Problems
Editor-in-Chief: Kabanikhin, Sergey I.
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Natural linearization for the identification of nonlinear heat transfer laws
∗Industrial Mathematics Institute, Johannes Kepler University, A-4040 Linz, Austria and Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, A-4040 Linz, Austria. E-mail: (email)
†Industrial Mathematics Institute, Johannes Kepler University, A-4040 Linz, Austria. Email: (email)
‡Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, A-4040 Linz, Austria. E-mail: (email)
Citation Information: Journal of Inverse and Ill-posed Problems jiip. Volume 13, Issue 6, Pages 567–582, ISSN (Online) 1569-3953, ISSN (Print) 0928-0219, DOI: https://doi.org/10.1515/156939405775199497,
- Published Online:
A fast algorithm for numerical identification of nonlinear heat transfer laws based on a natural linearization of the corresponding inverse problem is introduced. Its theoretical background is discussed, and the numerical tests show that it is suitable for problems with perturbed data. The proposed approach can be also used for other parameter identification problems, where one wants to recover an unknown nonlinear parameter β(u) from distributed noisy observations of the state u.
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