Noninvasive Reconstruction of Temperature Field by Boundary Element Method

Abstract

In this paper, the Pennes bio-heat transfer equation was simplified in the condition of steady state. Boundary element method was used as the forward solver. It was incorporated with two popular regularization methods for inverse problem. Three well-known methods for selecting regularization parameter were tested, and two experiments were implemented. The first experiment was carried out on a cubic polypropylene whose six faces were free to air, and the second experiment on a cubic polypropylene whose temperature of one face was constant. The inner heat sources and temperature field of the polypropylene in these two experiments were successfully reconstructed.