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STATE ESTIMATION PROBLEMS IN HEAT TRANSFER

卷 2, 册 3, 2012, pp. 239-258
DOI: 10.1615/Int.J.UncertaintyQuantification.2012003582
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摘要

The objective of this paper is to introduce applications of Bayesian filters to state estimation problems in heat transfer. A brief description of state estimation problems within the Bayesian framework is presented. The Kalman filter, as well as the following algorithms of the particle filter: sampling importance resampling and auxiliary sampling importance resampling, are discussed and applied to practical problems in heat transfer.

对本文的引用
  1. Pacheco César C., Orlande Helcio R. B., Colaço Marcelo J., Dulikravich George S., Estimation of a Location- and Time-Dependent High-Magnitude Heat Flux in a Heat Conduction Problem Using the Kalman Filter and the Approximation Error Model, Numerical Heat Transfer, Part A: Applications, 68, 11, 2015. Crossref

  2. Costa Jose M.J., Orlande Helcio R.B., Velho Haroldo F. Campos, de Pinho Suani T.R., Dulikravich George S., Cotta Renato M., da Cunha Neto Silvio H., Estimation of Tumor Size Evolution Using Particle Filters, Journal of Computational Biology, 22, 7, 2015. Crossref

  3. de Souza J. R. B., Lisboa K. M., Allahyarzadeh A. B., de Andrade G. J. A., Loureiro J. B. R., Naveira-Cotta C. P., Freire A. P. Silva, Orlande H. R. B., Silva G. A. L., Cotta R. M., Thermal analysis of anti-icing systems in aeronautical velocity sensors and structures, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 38, 5, 2016. Crossref

  4. Lamien Bernard, Varon Leonardo A.B., Orlande Helcio R.B., Elicabe Guillermo E., State estimation in bioheat transfer: a comparison of particle filter algorithms, International Journal of Numerical Methods for Heat & Fluid Flow, 27, 3, 2017. Crossref

  5. Dias Ana Carolina Spindola Rangel, da Silva Wellington Betencurte, Dutra Julio Cesar Sampaio, Propylene Polymerization Reactor Control and Estimation Using a Particle Filter and Neural Network, Macromolecular Reaction Engineering, 11, 6, 2017. Crossref

  6. Pacheco César, Orlande Helcio R.B., Colaco Marcelo, Dulikravich George S., State estimation problems in PRF-shift magnetic resonance thermometry, International Journal of Numerical Methods for Heat & Fluid Flow, 28, 2, 2018. Crossref

  7. Lamien Bernard, Rangel Barreto Orlande Helcio, Antonio Bermeo Varón Leonardo, Leite Queiroga Basto Rodrigo, Enrique Eliçabe Guillermo, Silva dos Santos Dilson, Machado Cotta Renato, Estimation of the temperature field in laser-induced hyperthermia experiments with a phantom, International Journal of Hyperthermia, 35, 1, 2018. Crossref

  8. da Silva Wellington Betencurte, Dutra Julio Cesar Sampaio, Costa José Mir Justino da, Abreu Luiz Alberto da Silva, Knupp Diego Campos, Silva Neto Antônio José, A Hybrid Estimation Scheme Based on the Sequential Importance Resampling Particle Filter and the Particle Swarm Optimization (PSO-SIR), in Computational Intelligence, Optimization and Inverse Problems with Applications in Engineering, 2019. Crossref

  9. Pacheco César C., Orlande Helcio R. B., Colaço Marcelo J., Dulikravich George S., Varón Leonardo A. B., Lamien Bernard, Real-time temperature estimation with enhanced spatial resolution during MR-guided hyperthermia therapy, Numerical Heat Transfer, Part A: Applications, 77, 8, 2020. Crossref

  10. Costa JosÉ M.J., Orlande Helcio R.B., Lione Viviane O.F., Lima Antonio G.F., Cardoso TaynÁ C.S., Varón Leonardo A.B., Simultaneous Model Selection and Model Calibration for the Proliferation of Tumor and Normal Cells During In Vitro Chemotherapy Experiments, Journal of Computational Biology, 25, 12, 2018. Crossref

  11. Magalhães Felipe Y., Orlande Helcio R. B., Suassuna José H. R., Sequential estimation of creatinine removal by a haemodialyser, Inverse Problems in Science and Engineering, 29, 12, 2021. Crossref

  12. Madeira Italo M., Lucumi Mabel A. R., Orlande Helcio R. B., State estimation problem for the detection of valve closure in gas pipelines, Inverse Problems in Science and Engineering, 29, 12, 2021. Crossref

  13. Pacheco C. C., Orlande H. R. B., Colaço M. J., Dulikravich G. S., Real-time identification of a high-magnitude boundary heat flux on a plate, Inverse Problems in Science and Engineering, 24, 9, 2016. Crossref

  14. Massard H., Orlande H.R.B., Fudym O., Estimation of position-dependent transient heat source with the Kalman filter, Inverse Problems in Science and Engineering, 20, 7, 2012. Crossref

  15. Nunes Felipe Sant'Anna, Orlande Helcio R.B., Nowak Andrzej J., An inverse analysis of the brain cooling process in neonates using the particle filter method, International Journal of Numerical Methods for Heat & Fluid Flow, 2022. Crossref

  16. Nagesetti Abhignyan, Dulikravich George S., Orlande Helcio R. B., Colaco Marcelo J., McGoron Anthony J., Computational model of silica nanoparticle penetration into tumor spheroids: Effects of methoxy and carboxy PEG surface functionalization and hyperthermia , International Journal for Numerical Methods in Biomedical Engineering, 37, 8, 2021. Crossref

  17. da Silva W. B., Dutra J. C. S., Kopperschimidt C. E. P., Lesnic D., Aykroyd R. G., Sequential estimation of the time-dependent heat transfer coefficient using the method of fundamental solutions and particle filters, Inverse Problems in Science and Engineering, 29, 13, 2021. Crossref

  18. da Silva W.B., Dutra J.C.S., Kopperschimidt C.E.P., Lesnic D., Aykroyd R.G., Sequential particle filter estimation of a time-dependent heat transfer coefficient in a multidimensional nonlinear inverse heat conduction problem, Applied Mathematical Modelling, 89, 2021. Crossref

  19. Alaeian Mohsen, Orlande Helcio R.B., Lamien Bernard, Kalman filter temperature estimation with a photoacoustic observation model during the hyperthermia treatment of cancer, Computers & Mathematics with Applications, 119, 2022. Crossref

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