| 二维稳态热传导问题的修正变分原理及其数值算法 |
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| 引用本文： | 贺光宗,任传波,赵华.二维稳态热传导问题的修正变分原理及其数值算法[J].山东理工大学学报,2006,20(1):50-53. |
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| 作者姓名： | 贺光宗 任传波 赵华 |
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| 作者单位： | 山东理工大学交通与车辆工程学院 山东淄博255049(贺光宗，任传波)，聊城高级技工学校教务处 山东聊城252000(赵华) |
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| 摘 要： | 通过适当选取权函数和基函数,将无网格法用于二维稳态热传导问题,构造了稳态热传导问题的泛函,并且推导了其修正变分原理.编制了相应的计算程序,通过数值算例证明了该方法是稳定、精确的.
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| 关 键 词： | 无网格法 稳态热传导 修正变分原理 |
| 文章编号： | 1672-6197(2006)01-0050-04 |
| 收稿时间： | 04 27 2005 12:00AM |
| 修稿时间： | 2005年4月27日 |
The modified variation principle and the numerical algorithm of steady 2-D heat conduction problem |
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| HE Guang-zong,REN Chuan-bo,ZHAO Hua.The modified variation principle and the numerical algorithm of steady 2-D heat conduction problem[J].Journal of Shandong University of Technology:Science and Technology,2006,20(1):50-53. |
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| Authors: | HE Guang-zong REN Chuan-bo ZHAO Hua |
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| Institution: | 1. School of Transport and Vehicle Engineering, Shandong University of Technology ,Zibo 255049, China; 2. Teching affairs Department, Liaocheng Advanced Vestibule School, Liaocheng 252000, China |
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| Abstract: | In this paper,the meshless method is applied to the steady 2-D heat conduction by choosing proper weight functions and basis functions.The functional of steady 2-D heat conduction is constructed,and the process of it's modified variation principle is derived.The corresponding computer programme is developed.The result shows that this method has advantage of high stability and accuracy. |
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| Keywords: | meshless method steady heat conduction modified variation principle |
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