Stability analysis of a finite element condensation technique for inverse heat conduction problems

摘要

In this paper, a new method based on a finite element condensation is applied for solving inverse boundary problems. This procedure makes available a very simple convolution equation which links any transient boundary condition to the thermal history at one interior location of the heat conducting solid. The results of a test case show that the proposed technique is easy to use and does not appear extremely sensitive to measurement errors.