Author(s)

Y C Hon & T Wei

Abstract

In this paper, a new mesh less numerical scheme for solving inverse heat con-duction problem is proposed. The numerical scheme is developed by using the fundamental solution of heat equation as basis function and treating the entire space-time domain in a global sense. The standard Tikhonov regularization technique and L-curve method are adopted for solving the resultant ill-conditioned linear system of equations. The approach is readily extendable to solve high-dimensional problems under irregular domain.

Keywords