The Application of Boundary Element Method for The Solution of The Inverse Heat Conduction

Abstract

Abstract In this paper, the general and supplementary conditions are used to determine the inverse heat conduction in the parabolic equation. The measured conditions ensure that the inverse problem has a unique solution, but the solution is not stable, so the problem is ill-posed. Using the boundary element method to discretize the original problem, it is used to solve the problem. On this basis, the direct method, the least square method and the regular method are tried. Finally, the minimal energy method is used to solve the system. Numerical experiments are carried out and the results are discussed.