| 基于二阶敏度的共轭梯度法求解多宗量稳态传热反问题 |
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| 引用本文： | 杨海天,胡国俊. 基于二阶敏度的共轭梯度法求解多宗量稳态传热反问题[J]. 工程数学学报, 2004, 21(1): 20-26 |
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| 作者姓名： | 杨海天 胡国俊 |
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| 作者单位： | 1. 工业装备结构分析国家重点实验室
2. 大连理工大学工程力学系,大连,116023 |
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| 基金项目： | 教育部重点基金 (991 4 9)，归国留学人员启动基金 (1 999 36 3)，教育部骨干教师师资助计划(2 0 0 0 6 5 )，工业装备结构分析国家重点实验室开放基金 (GZ981 4 )，辽宁省中青年学术带头人基金，重点基金项目 (1 0 0 32 0 30 )，973项目 (G1 9990 32 |
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| 摘 要： | 建立多宗量稳态热传导反问题的求解模式，导出了一阶和二阶的敏度计算公式，应用共轭梯度技术进行求解，数值验证给出了令人满意的结果，并探讨了测点数目、测量误差和初值对反演结果的影响。
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| 关 键 词： | 稳态传热 多宗量 反问题 共轭梯度 有限元 二阶敏度 |
| 文章编号： | 1005-3085(2004)01-0020-07 |
| 修稿时间： | 2001-11-19 |
Solving 2-D Inverse Heat Transfer Problems with Multi-variables in Steady-state via Conjugate Gradient Method Based on Second-order Sensitivity |
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| YANG Hai-tian,HU Guo-jun. Solving 2-D Inverse Heat Transfer Problems with Multi-variables in Steady-state via Conjugate Gradient Method Based on Second-order Sensitivity[J]. Chinese Journal of Engineering Mathematics, 2004, 21(1): 20-26 |
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| Authors: | YANG Hai-tian HU Guo-jun |
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| Abstract: | Based on the finite-element procedures for solving direct problems, this paper presents a genera; computing model to solve inverse steady-state two-dimensional heat transfer problems with multi-variables, and formulas of sensitivity analysis including both first-order and second-oeder sensitivity analysis. The solutions of inverse problems are obtained for boundary conditions and thermal parameters. In the numerical experiments an analysis of the effects of the distributions of sample points in space domain, the number of sample points, data noise and convergence scope etc. on solutions are given. |
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| Keywords: | heat transfer multi-variables inverse problems conjugate gradient method finite element second-order sensitivity |
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