|
|||||
|
|
| 同伦正则化算法求解多宗量瞬态热传导反问题 | |
| 引用本文： | 薛齐文,杨海天,杜秀云. 同伦正则化算法求解多宗量瞬态热传导反问题[J]. 计算物理, 2006, 23(2): 151-157 |
| 作者姓名： | 薛齐文 杨海天 杜秀云 |
| 作者单位： | 大连理工大学工程力学系,工业装备结构分析国家重点实验室,辽宁,大连,116023;辽宁师范大学物理系,辽宁,大连,116023 |
| 基金项目： | 教育部高校骨干教师资助计划;国家重点实验室基金;国家重点基础研究发展基金(973计划);国家自然科学基金;辽宁省高等学校中青年学科带头人基金 |
| 摘 要： | 以Bregman距离函数作为正则化泛函,建立了多宗量瞬态热传导反演的一种求解模式,可对导热系数和边界条件等进行联合识别.时域上采用精细算法进行离散,并应用同伦算法进行求解.对信息的测量误差和初值选取作了初步探讨,并进行了数值验证. |
| 关 键 词： | 正则化 同伦算法 精细算法 多宗量 反问题 |
| 文章编号： | 1001-246X（2006）02-0151-07 |
| 收稿时间： | 2004-12-13 |
| 修稿时间： | 2005-05-11 |
An Inverse Heat Conduction Problem with Multi-variables in a Transient State with a Homotopic Regularization Method |
|
| XUE Qi-wen,YANG Hai-tian,DU Xiu-yun. An Inverse Heat Conduction Problem with Multi-variables in a Transient State with a Homotopic Regularization Method[J]. Chinese Journal of Computational Physics, 2006, 23(2): 151-157 | |
| Authors: | XUE Qi-wen YANG Hai-tian DU Xiu-yun |
| Affiliation: | 1. Dept. of Engineering Mechanics, Dalian University of Technology, State Key Lab of Structural Analysis for Industrial Equipment, Dalian 116023, China;2. Dept. of Physics, Liaoning Normal University, Dalian 116023, China |
| Abstract: | Taking Bregman D-Function as a regularization function, we present a general numerical model to identify the multi-variables, including thermal parameters and boundary conditions. A time stepping scheme is used for the transient analysis and a homotopy method is adopted to solve the process. Both the data with measurement errors and the initial value are used to indentify these parameters. The numerical validation exhibits good results. |
| Keywords: | regularization homotopy method precise algorithm multi-variables inverse problem |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |
| 点击此处可从《计算物理》浏览原始摘要信息 | |
| 点击此处可从《计算物理》下载全文 | |