Determination of a time-dependent heat transfer coefficient in a nonlinear inverse heat conduction problem

被引：33

作者：

Slodicka, M. ^{[2
]}

Lesnic, D. ^{[1
]}

Onyango, T. T. M. ^{[1
]}

机构：

[1] Univ Leeds, Dept Appl Math, Leeds LS2 9JT, W Yorkshire, England

[2] Univ Ghent, Dept Math Anal, Fac Engn, B-9000 Ghent, Belgium

来源：

INVERSE PROBLEMS IN SCIENCE AND ENGINEERING | 2010年 / 18卷 / 01期

关键词：

boundary element method; heat conduction; heat transfer coefficient; inverse problem; BOUNDARY MEASUREMENTS; ROBIN COEFFICIENT; ELEMENT; ALGORITHM; CYLINDER; STATE;

D O I：

10.1080/17415970903234273

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this article, the determination of the time-dependent heat transfer coefficient, involving nonlinear boundary conditions of the third kind in the one-dimensional transient heat conduction from a non-standard boundary measurement is investigated. For this inverse, nonlinear, ill-posed problem, the existence and uniqueness of the solution are proved. Numerical results are obtained, using the boundary element method, and discussed.

引用

页码：65 / 81

页数：17

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