Iterative methods for estimating temperature-dependent thermophysical characteristics
Eugene A Artyukhin
Iterative algorithms are discussed for estimating simultaneously the temperature-dependent volumetric heat capacity and thermal conductivity from the solution of coefficient inverse heat conduction problems. Unknown characteristics are approximated by cubic B-splines. The approximation parameters are estimated by minimising the residual functional with respect to desired functions which are considered as elements of the function space L2. The residual criterion is used to choose the number of parameters. Results of computational experiments are demonstrated.