M. Prudhomme et Th. Nguyen, ON THE ITERATIVE REGULARIZATION OF INVERSE HEAT-CONDUCTION PROBLEMS BY CONJUGATE-GRADIENT METHOD, International communications in heat and mass transfer, 25(7), 1998, pp. 999-1008
The convergence and regularization properties of the conjugate gradien
t algorithm applied to the inverse hear conduction problem are conside
red for a time-dependent boundary heat flux. An analysis based on both
numerical and analytical results clearly shows that the convergence p
rocess of the algorithm is strongly frequency-dependent and provides i
n this way a very efficient regularization mechanism against the desta
bilizing effect of random errors in the input data. (C) 1998 Elsevier
Science Ltd.