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首页> 外文期刊>International Journal of Heat and Mass Transfer >A domain decomposition method for the stable analysis of inverse nonlinear transient heat conduction problems
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A domain decomposition method for the stable analysis of inverse nonlinear transient heat conduction problems

机译：逆非线性瞬态热传导问题稳定分析的域分解方法

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摘要

A method for solving nonlinear transient inverse heat conduction problems is presented. To overcome the nonlinearity of the problem, not only the time domain is divided into several sub-domains, but also the geometrical domain. By using an inverse method, the unknown variables are determined in each sub-domain. The finite element method (FEM) is used for the sensitivity analyses in the sub-domains. The ill-posedness of the inverse problem in each sub-domain is much less than that corresponding to the original domain and hence the inverse problem is solved efficiently in each sub-domain. Three nonlinear transient problems are analyzed by both the method presented in this paper and the conventional method. According to the results obtained, it is shown that the proposed domain decomposition method (DDM) is more stable, accurate and faster than the conventional method with a single domain.
机译：提出了一种求解非线性瞬态逆热传导问题的方法。为了克服问题的非线性，不仅将时域划分为几个子域，而且将几何域划分为几个子域。通过使用逆方法，在每个子域中确定未知变量。有限域方法（FEM）用于子域中的灵敏度分析。每个子域中反问题的不适性比与原始域相对应的不适性要小得多，因此，在每个子域中反问题都能得到有效解决。本文提出的方法和常规方法都分析了三个非线性瞬态问题。根据获得的结果，表明所提出的域分解方法（DDM）比具有单个域的常规方法更稳定，准确和更快。

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