In this study, an inverse algorithm based on the conjugate gradient method and the discrepancy principle is
applied to estimate the unknown time-dependent heat flux and temperature distributions for the system
composed of a multi-layer composite strip and semi-infinite foundation, from the knowledge of temperature
measurements taken within the strip. It is assumed that no prior information is available on the functional
form of the unknown heat flux; hence the procedure is classified as the function estimation in inverse
calculation. Results show that an excellent estimation on the time-dependent heat flux can be obtained for
the test case considered in this study.
International Communications in Heat and Mass Transfer 37 (2010) 495–500