Fast precise integration method for hyperbolic heat conduction problems  

作　　者：吴峰 高强 钟万勰 

机构地区：[1]State Key Laboratory of Structural Analysis of Industrial Equipment, Department of Engineering Mechanics, Faculty of Vehicle Engineering and Mechanics, Dalian University of Technology

出　　处：《Applied Mathematics and Mechanics(English Edition)》2013年第7期791-800,共10页应用数学和力学（英文版）

基　　金：supported by the National Natural Science Foundation of China (Nos. 10902020 and 10721062)

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 suitable 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.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 suitable 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.

关 键 词：hyperbolic heat conduction sparse matrix precise integration method matrix exponential fast algorithm 

分 类 号：TK124[动力工程及工程热物理—工程热物理]