| 利用边界元素法求解热传导反问题 |
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| 引用本文： | 辛玉梅 臧述升. 利用边界元素法求解热传导反问题[J]. 哈尔滨工业大学学报, 1997, 29(3): 26-28 |
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| 作者姓名： | 辛玉梅 臧述升 |
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| 作者单位： | 哈尔滨工业大学数学系 |
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| 摘 要： | 利用边界元素法对二维方形域和多边通的环形区域热传导反问题进行了求解。考察了内点位置，温度误差对求解结果的影响。结果表明内点温度的测取精度对结果的影响是呈线性的，并且内点距所求温度边界距离愈近其解的精度愈高。
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| 关 键 词： | 热传导 反问题 边界元素法 温度 |
Boundary Element Method for the Inverse Problem of Heat Conduction |
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| Xin Yumei Zang Shusheng Zheng Hongtao. Boundary Element Method for the Inverse Problem of Heat Conduction[J]. Journal of Harbin Institute of Technology, 1997, 29(3): 26-28 |
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| Authors: | Xin Yumei Zang Shusheng Zheng Hongtao |
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| Affiliation: | Dept. of Mathematics |
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| Abstract: | A method of solution using the boundary element method (BEM) is developed for two dimensional inverse problem of heat conduction. For a square and a ring regions,the effects of the temperature error and the inside point locations on the results is also discussed. The results shown that the calculated error is a linear change with the precision of inside point temperature and that the nearer the inside point location is to the boundary solved,the higher the calculated precision is. |
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| Keywords: | Heat conduction inverse heat conduction boundary element method |
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