A fundamental solution method for inverse heat conduction problem
A fundamental solution method for inverse heat conduction problem
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DOI：
10.1016/s0955-7997(03)00102-4
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发表时间：
2004-05-01
影响因子：
3.3
通讯作者：
Wei, T
中科院分区：
文献类型：
--
作者：
Hon, YC;Wei, T
本文提出了一种新的求解反热传导问题的无网格、无积分的数值格式。数值格式是基于使用基本解作为径向基函数而开发的。为了正则化所得到的病态线性方程组，我们成功地应用了Tikhonov正则化技术和l-曲线方法来获得解的稳定数值近似。该方法易于推广到求解不规则域下的高维问题。(C) 2003 Elsevier Ltd.版权所有。
In this paper, we develop a new meshless and integration-free numerical scheme for solving an inverse heat conduction problem. The numerical scheme is developed based on the use of the fundamental solution as a radial basis function. To regularize the resultant ill-conditioned linear system of equations, we apply successfully both the Tikhonov regularization technique and the L-curve method to obtain a stable numerical approximation to the solution. The approach is readily extendable to solve high-dimensional problems under irregular domain. (C) 2003 Elsevier Ltd. All rights reserved.