检索结果-内蒙古大学图书馆

Non-iterative solution of inverse heat conduction problems in one dimension

COMMUNICATIONS IN NUMERICAL methodS IN ENGINEERING 1997年第6期13卷 419-427页

作者： Yang, CY Department of Mold and Die Engineering National Kaohsiung Institute of Technology Kaohsiung City Taiwan 807 R.O.C. [*]C.-Y. Yang Department of Mold and Die Engineering National Kaohsiung Institute of Technology Kaohsiung City Taiwan 807 R.O.C.

A model is presented for the inverse determination of the strength of a temporal-spatial-dependent heat source in the one-dimensional heat conduction problem. This model is constructed from the finite difference approximation of the differential heat conduction equation based on the assumption that the temperature measurements are available over the problem domain. In contrast to the traditional approach, the iteration in the proposed model can be done only once and the inverse problem can be solved in a linear domain. In the examples, comparisons between the exact heat sources and the estimated ones (without measurement errors) are made to confirm the validity of the proposed model. The close agreement between the exact solutions and the estimated results shows the potential of the proposed model in finding an accurate value of the heat source in the one-dimensional heat conduction problem. (C) 1997 by John Wiley & Sons, Ltd.

关键词： linear inverse model linear least-squares error method non-linear least-squares error method inverse heat conduction problem

来源：评论

学校读者我要写书评

暂无评论

Direct and inverse solutions with non-Fourier effect on the irregular shape

引用

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER 2010年第13-14期53卷 2685-2693页

作者： Wang, Chi-Chang Feng Chia Univ Dept Mech & Comp Aided Engn Taichung 40724 Taiwan

This study used the finite element method with linear least-squares error method to construct a simple non-iterative inverse operation procedure, for solving non-Fourier heat transfer effect in irregular geometry. Numerical validation indicated that, irregular geometry would enhance heat wave reflection and thus make temperature distribution more complex, moreover, non-Fourier heat transfer has limited heat wave propagation speed, heat information fails to be reflected in time at measure point of the other side, hence, inverse operation difficulty increases. However, sequential algorithm constructed by this study is able to estimate unknown boundary condition correctly and efficiently at every instant by only one array operation in successive time steps. In addition, by measuring a few future time temperatures, the sensitivity of estimated result to measurement error can be effectively reduced as well. (C) 2010 Elsevier Ltd. All rights reserved.

关键词： Inverse non-Fourier effect heat conduction Sequential algorithm Irregular shape linear least-squares error method Finite element method Non-iterative

来源：评论

学校读者我要写书评

暂无评论

NON-ITERATIVE SOLUTION OF INVERSE HEAT CONDUCTION PROBLEMS IN ONE DIMENSION

引用

International Journal for Numerical methods in Biomedical Engineering 1999年第6期13卷

作者： CHING-YU YANG Department of Mold and Die Engineering National Kaohsiung Institute of Technology Kaohsiung City Taiwan 807 R.O.C.

A model is presented for the inverse determination of the strength of a temporal–spatial-dependent heat source in the one-dimensional heat conduction problem. This model is constructed from the finite difference approximation of the differential heat conduction equation based on the assumption that the temperature measurements are available over the problem domain. In contrast to the traditional approach, the iteration in the proposed model can be done only once and the inverse problem can be solved in a linear domain. In the examples, comparisons between the exact heat sources and the estimated ones (without measurement errors) are made to confirm the validity of the proposed model. The close agreement between the exact solutions and the estimated results shows the potential of the proposed model in finding an accurate value of the heat source in the one-dimensional heat conduction problem. © 1997 John Wiley & Sons, Ltd.

关键词： linear inverse model linear least-squares error method non-linear least-squares error method inverse heat conduction problem

来源：评论

学校读者我要写书评

暂无评论

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案：

请选择收藏分类：

通借通还

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：