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.
出处
《宁夏大学学报（自然科学版）》
CAS
北大核心
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)
关键词
Bregman距离
多宗量
同伦算法
非线性
反问题
Bregman distances function
multi-variables
homotopic method
non-linear
Inverse problem
