Estimation of position-dependent transient heat source with the Kalman filter

This study deals with the solution of a state estimation problem within the Bayesian framework. Simulated temperature measurements are used in the inverse analysis, which is based on a nodal strategy that results on a linear estimation problem. The Kalman filter is then applied for the estimation of a transient heat source term, which also varies spatially. The nodal strategy relies on the availability of temperature measurements with fine spatial resolution and high frequency, typical of currently available infrared cameras.

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