2014
DOI: 10.1080/17415977.2014.959007
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A vectorial descent stepsize for parameter identification of a coupled parabolic PDE-ODE

Abstract: We consider a simplified model of a coupled parabolic PDE-ODE describing heat transfer within buildings. We describe an identification procedure able to reconstruct the parameters of the model. The response of the model is nonlinear with respect to its parameters and the reconstruction of the parameters is achieved by the introduction of a new vectorial descent stepsize, which improves the convergence of the Levenberg-Marquardt minimization algorithm. The new vectorial descent stepsize can have negative and po… Show more

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Cited by 4 publications
(2 citation statements)
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References 26 publications
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“…Moftakharia et al [38] investigated the estimation of unknown thermal design parameters in building systems using numerical simulation and inverse modeling methods. Kuate et al [39] proposed algorithms to reconstruct parameters of a building energy prediction model coupled with mathematical equations at a reduced scale single zone. Another study compared inverse modeling approaches in predicting building energy performance [20].…”
Section: Concept Of the Inverse Modelsmentioning
confidence: 99%
“…Moftakharia et al [38] investigated the estimation of unknown thermal design parameters in building systems using numerical simulation and inverse modeling methods. Kuate et al [39] proposed algorithms to reconstruct parameters of a building energy prediction model coupled with mathematical equations at a reduced scale single zone. Another study compared inverse modeling approaches in predicting building energy performance [20].…”
Section: Concept Of the Inverse Modelsmentioning
confidence: 99%
“…Here we use the results of a sensitivity analysis of building thermal parameters [14] coupled with the conclusions of the studies [25,19] on the parameters identifiability. We also want to accurately reconstruct the main energy flux of the building thus the unknown parameters have to be related thereof.…”
Section: Choice Of the Unknown Parametersmentioning
confidence: 99%