Interval inverse analysis of hyperbolic heat conduction problem

被引：0

作者：

Du, Xiuyun ^{[1
,2
]}

Tang, Zhenan ^{[1
]}

Xue, Qiwen ^{[3
]}

机构：

[1] School of Electronic Science and Technology, Dalian University of Technology, Dalian 116023, China

[2] School of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, China

[3] Advanced Technology Laboratory in Railway Vehicle, Dalian Jiaotong University, Dalian 116028, China

来源：

International Communications in Heat and Mass Transfer | 2014年 / 54卷

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Uncertainty analysis - Finite element method - Heat conduction - Numerical models - Time domain analysis;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A general numerical model was presented to analyze the interval inverse hyperbolic heat conduction problem, with Bregman distances and weighted Bregman distances as regularization terms. By using the interval finite element method and interval extension theory, the direct and inverse models were established for uncertainties. The eight-point isoparametric elements were applied for the discretization in the space domain, and the Precise algorithm in time domain was empolyed. The inverse problems were implicitly formulated as optimization problems, using squared residues between the calculated and measured quantities as the objective function of the inverse identification. Results show that the proposed numerical models can identify single and combined interval thermal parameters and boundary conditions for hyperbolic heat transfer problems accurately and efficiently. © 2014 Elsevier Ltd.

引用

页码：75 / 80