Joachim Blum, Wolfgang Marquardt:
Robust and efficient solution of the inverse heat conduction problem using observers
In: J. Henriette, P. Lybaert M. El Hayeck (Eds.): EUROTHERM Seminar 53, Advanced Concepts and Techniques in Thermal Modelling, Mons, Belgium, 8-10.10.1997, 175-182
Observers are proposed as a solution algorithm for the inverse heat conduction problem (IHCP) of reconstructing a time-dependent surface heat flux at the boundary of a linear heat conductor. Solving the IHCP is viewed as a filter design problem in which the reconstructed heat flux is obtained by lowpass-filtering of the true heat flux. It is demonstrated that observers yield a better tradeoff between the deterministic bias and the sensitivity to measurement errors and lead to smaller-size computational problems than other solution approaches.
Heat transfer, inverse heat conduction problem, observer, lowpass filter