非线性热传导反问题数值求解  

Numerical Solution of Non-linear Inverse Heat Conduction Problems

作　　者：薛齐文[1] 杜秀云[2] 

机构地区：[1]大连交通大学土木与安全工程学院,大连116028 [2]辽宁师范大学物理与电子技术学院,大连116029

出　　处：《宁夏大学学报（自然科学版）》2010年第1期40-43,48,共5页Journal of Ningxia University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10802015);辽宁省重点实验室基金资助(2008S036);工业装备结构分析重点实验室开放基金资助项目(GZ0811)

摘　　要：引入Bregman距离函数,建立了非线性热传导反问题的一种数值求解模式,可对非线性导热系数和边界条件等宗量进行单一和组合识别.所建的有限元正/反演模型分别考虑了非均质和分布参数的影响,并应用同伦算法进行反演求解,探讨了信息测量误差和变量初值对反演结果的影响.数值验证取得了满意的结果.This paper presents a general numerical model to identify multi-variables and the homotopic method is employed to solve non-linear inverse heat conduction problems based on Bregman D-Function. Single and combined identifications can be carried out for thermal parameters and boundary conditions etc. The finite element model is given, facilitating to sensitivity analysis for non-linear direct and inverse problems considering inhomogeneity. Satisfactory numerical validation is given including a preliminary investigation of effect of noise data and initial value on the results.

关 键 词：Bregman距离 多宗量 同伦算法 非线性 反问题 

分 类 号：O482.2[理学—固体物理]