The functional identification approach for numerical reconstruction of the temperature-dependent thermal-conductivity coefficient

被引：12

作者：

Borukhov, V. T. ^{[1
]}

Tsurko, V. A. ^{[1
]}

Zayats, G. M. ^{[1
]}

机构：

[1] Natl Acad Sci Belarus, Inst Math, Minsk 220072, BELARUS

来源：

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER | 2009年 / 52卷 / 1-2期

关键词：

Nonlinear heat-conduction equation; Thermal-conductivity coefficient; Inverse problem; Functional identification; Numerical simulation;

D O I：

10.1016/j.ijheatmasstransfer.2008.01.043

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

The functional identification approach of the thermal-conductivity coefficient for the unsteady-state nonlinear heat-conduction equation is considered. Unlike traditional methods, the proposed algorithm does not utilize approximations of the coefficient with the aid of the specified system of basis functions. The results of computational experiments are presented. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：232 / 238

页数：7

共 19 条

[1]

Alifanov O.M., 1995, Extreme methods for solving ill -posed problems and their applications to inverse heat transfer problems

[2]

Alifanov O. M., 1994, INVERSE HEAT TRANSFE

[3]

[Anonymous], 2004, INVER ILL POSED PROB, DOI 10.1515/9783110915549

[4]

ARTYUKHIN EA, 1981, J ENG PHYS THERMOPH+, V41, P587

[5] NONLINEAR ESTIMATION APPLIED TO NONLINEAR INVERSE HEAT CONDUCTION PROBLEM [J].

BECK, JV .

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1970, 13 (04) :703-&

[6] Functional identification of the nonlinear thermal-conductivity coefficient by gradient methods. I. Conjugate operators [J].

Borukhov V.T. ;

Timoshpol'skii V.I. .

Journal of Engineering Physics and Thermophysics, 2005, 78 (4) :695-702

[7] FUNCTIONAL IDENTIFICATION OF THE NONLINEAR THERMAL-CONDUCTIVITY COEFFICIENT BY GRADIENT METHODS. II. NUMERICAL MODELING [J].

Borukhov, V. T. ;

Timoshpol'skii, V. I. ;

Zayats, G. M. ;

Tsurko, V. A. .

JOURNAL OF ENGINEERING PHYSICS AND THERMOPHYSICS, 2005, 78 (04) :703-709

[8]

DANTAS LB, 1991, INVERSE PROBL SCI EN, V3, P201

[9] Analysis of an adjoint problem approach to the identification of an unknown diffusion coefficient [J].

DuChateau, P ;

Thelwell, R ;

Butters, G .

INVERSE PROBLEMS, 2004, 20 (02) :601-625

[10] Global uniqueness of a multidimensional inverse problem for a nonlinear parabolic equation by a Carleman estimate [J].

Klibanov, MV .

INVERSE PROBLEMS, 2004, 20 (04) :1003-1032

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