CRITERIA FOR COMPARISON OF METHODS OF SOLUTION OF THE INVERSE HEAT-CONDUCTION PROBLEM

Some criteria are presented for comparing methods of solution of the inverse heat conduction problem. These include accuracy when using exact data, insensitivity to measurement errors, and stability for small time steps. The criteria are applied to a method previously given by the author; it is shown herein that as measurement errors become larger, the time steps must increase for a given accuracy of the calculated surface heat flux or temperature. New results are also presented for a multiple number of temperature sensors. In addition, it is demonstrated how the procedure can be applied to correlated measurement errors. Some methods used by other investigators are also briefly considered. © 1979.