Maio 2014 vol. 1 num. 1 - 10th World Congress on Computational Mechanics

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A COMPARISON OF THE ITERATIVE REGULARIZATION TECHNIQUE AND OF THE MARKOV CHAIN MONTE CARLO METHOD: ESTIMATION OF THE SOURCE TERM IN A THREE-DIMENSIONAL HEAT CONDUCTION PROBLEM

Reis, Luiz Augusto D. ; Orlande, Helcio R. B. ; Lesnic, Daniel ;

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This work aims at the comparison between a classical regularization technique and a method within the Bayesian framework, as applied to the solution of an inverse heat con-duction problem. The two solution approaches compared are Alifanov''s iterative regulariza-tion technique and the Markov chain Monte Carlo method. The inverse problem examined in this work deals with the estimation of a transient source term in a heat conduction problem.

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Palavras-chave: Inverse Problem, Alifanov''s iterative regularization technique, Conjugate Gradi-ent Method with Adjoint Problem, Markov chain Monte Carlo method, Heat Conduction.,

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DOI: 10.5151/meceng-wccm2012-18836

Referências bibliográficas
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Como citar:

Reis, Luiz Augusto D.; Orlande, Helcio R. B.; Lesnic, Daniel; "A COMPARISON OF THE ITERATIVE REGULARIZATION TECHNIQUE AND OF THE MARKOV CHAIN MONTE CARLO METHOD: ESTIMATION OF THE SOURCE TERM IN A THREE-DIMENSIONAL HEAT CONDUCTION PROBLEM", p. 2375-2393 . In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1]. São Paulo: Blucher, 2014.
ISSN 2358-0828, DOI 10.5151/meceng-wccm2012-18836

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