Fast precise integration method for hyperbolic heat conduction problems

被引：0
|
作者：
吴峰 [1 ]
高强 [1 ]
钟万勰 [1 ]
机构：
[1] State Key Laboratory of Structural Analysis of Industrial Equipment, Department of Engineering Mechanics, Faculty of Vehicle Engineering and Mechanics, Dalian University of Technology
来源：
AppliedMathematicsandMechanics(EnglishEdition) | 2013年 / 34卷 / 07期
基金：
中国国家自然科学基金;
关键词：
hyperbolic heat conduction; sparse matrix; precise integration method; matrix exponential; fast algorithm;
D O I：
暂无
中图分类号：
TK124 [传热学];
学科分类号：
摘要：
A fast precise integration method is developed for the time integral of the hyperbolic heat conduction problem. The wave nature of heat transfer is used to analyze the structure of the matrix exponential, leading to the fact that the matrix exponential is sparse. The presented method employs the sparsity of the matrix exponential to improve the original precise integration method. The merits are that the proposed method is suit- able for large hyperbolic heat equations and inherits the accuracy of the original version and the good computational efficiency, which are verified by two numerical examples.
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页码：791 / 800
页数：10
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