摘要
引入Bregman距离构造同伦函数,建立了二阶非定常多宗量热传导反问题的一种求解模式,可对导热系数和边界条件等宗量进行识别。时域上采用精细算法,建立了便于敏度分析的有限元正/反演模型,对各宗量进行有效的组合识别。对信息测量误差和初值选取作了初步探讨,数值验证取得了满意的结果。
This paper presents a general numerical model to identify multi-variables of two-order transient heat conduction problems and the homotopic method is employed to solve inverse problems based on Bregman D-Function. A time stepping scheme is used for transient analysis and the finite element model is given, facilitating to sensitivity analysis for direct and inverse problems. Combined identifications can be carried out for thermal parameters and boundary conditions etc. Satisfactory numerical validation is given including a preliminary investigation of effect of noise data and initial value on the results.
出处
《计算力学学报》
EI
CAS
CSCD
北大核心
2007年第4期425-429,共5页
Chinese Journal of Computational Mechanics
基金
国家自然科学基金(10172024104210021047201910332010)
973项目[2005CB321704]
辽宁省中青年学术带头人基金
大连交通大学博士启动基金资助项目
关键词
二阶非定常热传导
Bregman距离
同伦算法
精细算法
多宗量
two-order transient heat conduction
bregman distances
homotopy method
precise algorithm
multi-variables
