Stochastic inverse heat conduction using a spectral approach
Stochastic inverse heat conduction using a spectral approach
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DOI：
10.1002/nme.1015
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发表时间：
2004-07-07
影响因子：
2.9
通讯作者：
Zabaras, N
中科院分区：
文献类型：
--
作者：
Narayanan, VAB;Zabaras, N
针对材料参数、工艺条件和测量噪声存在不确定性时的导热反问题，提出了一种基于伴随函数优化技术和谱随机有限元相结合的求解方法。将不适定随机反问题重述为条件适定的L-2优化问题。通过定义适当的随机伴随场，得到了目标函数在分布意义下的梯度。用共轭梯度法求解了L-2优化问题。通过对几个随机热传导逆问题的求解，验证了该方法的准确性和有效性。版权所有(C)2004 John Wiley Sons，Ltd.
An adjoint-based functional optimization technique in conjunction with the spectral stochastic finite element method is proposed for the solution of an inverse heat conduction problem in the presence of uncertainties in material data, process conditions and measurement noise. The ill-posed stochastic inverse problem is restated as a conditionally well-posed L-2 optimization problem. The gradient of the objective function is obtained in a distributional sense by defining an appropriate stochastic adjoint field. The L-2 optimization problem is solved using a conjugate-gradient approach. Accuracy and effectiveness of the proposed approach is appraised with the solution of several stochastic inverse heat conduction problems. Copyright (C) 2004 John Wiley Sons, Ltd.