A Meshless Computational Method For Solving Inverse Heat Conduction Problems

In this paper, a new meshless numerical scheme for solving inverse heat conduction 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.

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