Iterative methods for an inverse heat conduction problem

Iterative methods for an inverse heat conduction problem
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热传导反问题的迭代方法

DOI:
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发表时间:
2001
期刊:
影响因子:
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通讯作者:
B. Turesson
B. Turesson
中科院分区:
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文献类型:
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作者:
G. Bastay;V. Kozlov;B. Turesson

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翻译后摘要-我们考虑的问题,重建的温度从测量的温度和热通量的边界的一部分,并提出迭代方法来解决这个问题。该方法的特点是,在每一个迭代步骤中,解决了同一方程的适定问题。方法的正则化特征来自于边界条件的适当选择。这一事实允许人们使用标准的数字包。给出了一些数值试验。
Abstract - We consider the problem of reconstruction of the temperature from measurements of the temperature and heat flux on a part of the boundary and present iterative methods for solving this problem. The characteristic feature of the methods is the fact that in each iteration step, well-posed problems for the same equation are solved. The regularizing character of the methods comes from suitable choice of boundary conditions. This fact allows one to use standard numerical packages. Some numerical experiments are given.