Cy. Yang, INVERSE ESTIMATION OF MIX-TYPED BOUNDARY-CONDITIONS IN HEAT-CONDUCTION PROBLEMS, Journal of thermophysics and heat transfer, 12(4), 1998, pp. 552-561
A sequential method is proposed to estimate various types of boundary
conditions in the field of the inverse heat conduction. An inverse sol
ution is deduced from the proposed method that is based on a numerical
approach and the concept of future time. Special features about the p
roposed method is that no preselected functional form for the unknown
function is necessary and no sensitivity analysis is needed in the alg
orithm. Furthermore, the mix-typed boundary conditions can be estimate
d in the proposed method. Two examples are used to demonstrate the cha
racteristics of the proposed method. The results show that the propose
d method is an accurate, robust, and efficient method to determine the
boundary condition in the inverse heat conduction problems.