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Inverse Problems in Science and Engineering Volume 14, 2006 - Issue 2
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Original Articles

The adjoint method coupled with the modal identification method for nonlinear model reduction

Y. FavennecLaboratoire d’Etudes Thermiques UMR CNRS 6608 – ESIP, 40, Avenue du recteur Pineau – 86022, POITIERS Cedex – France
,
M. Girault§Laboratoire d’Etudes Thermiques UMR CNRS 6608 – ENSMA, Téléport 2, 1 Avenue Clément Ader, BP 40109, 86961 Futuroscope Cedex – FranceView further author information
&
D. PetitLaboratoire d’Etudes Thermiques UMR CNRS 6608 – ENSMA, Téléport 2, 1 Avenue Clément Ader, BP 40109, 86961 Futuroscope Cedex – France
Pages 153-170 | Received 05 Nov 2004, Accepted 27 May 2005, Published online: 21 Aug 2006

Citations (15)

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Read on this site (4)

O. Balima, Y. Rouizi, Y. Favennec, D. Petit & A. Charette. (2009) Reduced modelling through identification on 2D incompressible laminar flows. Inverse Problems in Science and Engineering 17:3, pages 303-319.
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Y. Favennec. (2007) Hessian and Fisher Matrices For Error Analysis in Inverse Heat Conduction Problems. Numerical Heat Transfer, Part B: Fundamentals 52:4, pages 323-340.
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O. Balima, Y. Favennec & D. Petit. (2007) Model Reduction for Heat Conduction with Radiative Boundary Conditions using the Modal Identification Method. Numerical Heat Transfer, Part B: Fundamentals 52:2, pages 107-130.
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Etienne Videcoq, Alain Neveu, Olivier Quemener, Manuel Girault & Daniel Petit. (2006) Comparison of Two Nonlinear Model Reduction Techniques: The Modal Identification Method and the Branch Eigenmodes Reduction Method. Numerical Heat Transfer, Part B: Fundamentals 49:6, pages 537-558.
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Articles from other publishers (11)

S. Carmona, Y. Rouizi, O. Quéméner, F. Joly & A. Neveu. (2018) Estimation of heat flux by using reduced model and the adjoint method. Application to a brake disc rotating. International Journal of Thermal Sciences 131, pages 94-104.
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Julien Berger, Suelen Gasparin, Marx Chhay & Nathan Mendes. (2016) Estimation of temperature-dependent thermal conductivity using proper generalised decomposition for building energy management. Journal of Building Physics 40:3, pages 235-262.
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Yassine Rouizi, Yann Favennec, Yvon Jarny & Daniel Petit. (2013) Model reduction through identification – Application to some diffusion–convection problems in heat transfer, with an extension towards control strategies. Comptes Rendus Mécanique 341:11-12, pages 776-792.
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Fermin Uriz Jauregui, Benjamin Remy, Alain Degiovanni & Olivier Verseux. (2013) Model identificaton for temperature extrapolation in aircraft powerplant systems. International Journal of Thermal Sciences 64, pages 162-177.
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O. Balima, J. Boulanger, A. Charette & D. Marceau. (2011) New developments in frequency domain optical tomography. Part I: Forward model and gradient computation. Journal of Quantitative Spectroscopy and Radiative Transfer 112:7, pages 1229-1234.
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Joan Boulanger, Olivier Balima & André Charette. (2011) Refractive index imaging from radiative transfer equation-based reconstruction algorithm: Fundamentals. Journal of Quantitative Spectroscopy and Radiative Transfer 112:7, pages 1222-1228.
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Y. Rouizi, M. Girault, Y. Favennec & D. Petit. (2010) Model reduction by the Modal Identification Method in forced convection: Application to a heated flow over a backward-facing step. International Journal of Thermal Sciences 49:8, pages 1354-1368.
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Y. Favennec, Y. Rouizi & D. Petit. (2010) On the use of reduced models obtained through identification for feedback optimal control problems in a heat convection–diffusion problem. Computer Methods in Applied Mechanics and Engineering 199:17-20, pages 1193-1201.
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M. Girault, E. Videcoq & D. Petit. (2010) Estimation of time-varying heat sources through inversion of a low order model built with the Modal Identification Method from in-situ temperature measurements. International Journal of Heat and Mass Transfer 53:1-3, pages 206-219.
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Y. Rouizi, Y. Favennec, J. Ventura & D. Petit. (2009) Numerical model reduction of 2D steady incompressible laminar flows: Application on the flow over a backward-facing step. Journal of Computational Physics 228:6, pages 2239-2255.
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Y Rouizi, Y Favennec, M Girault & D Petit. (2008) Model reduction on 2-D incompressible laminar flows: Application on the flow over a backward-facing step. Journal of Physics: Conference Series 135, pages 012090.
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