Adaptive wavelet methods and sparsity reconstruction for inverse heat conduction problems
Adaptive wavelet methods and sparsity reconstruction for inverse heat conduction problems
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DOI：
10.1007/s10444-010-9147-2
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发表时间：
2010-11
影响因子：
1.7
通讯作者：
Thomas Bonesky;S. Dahlke;P. Maass;T. Raasch
中科院分区：
文献类型：
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作者：
Thomas Bonesky;S. Dahlke;P. Maass;T. Raasch
本文涉及热传导反问题的数值处理。特别是，我们将通过迭代软收缩对不适定问题进行正则化的最新结果与前向问题的自适应小波算法相结合。该分析适用于源自钢炉熔化铁矿石的工业过程的反抛物线问题。一些数值实验证实了我们的方法的适用性。
This paper is concerned with the numerical treatment of inverse heat conduction problems. In particular, we combine recent results on the regularization of ill-posed problems by iterated soft shrinkage with adaptive wavelet algorithms for the forward problem. The analysis is applied to an inverse parabolic problem that stems from the industrial process of melting iron ore in a steel furnace. Some numerical experiments that confirm the applicability of our approach are presented.