A global boundary integral equation method for recovering space-time dependent heat source

被引：16

作者：

Liu, Chein-Shan ^{[1
,2
]}

Chang, Chih-Wen ^{[3
]}

机构：

[1] Natl Taiwan Univ, Dept Civil Engn, Taipei 10617, Taiwan

[2] Hohai Univ, Coll Mech & Mat, Int Ctr Simulat Software Engn & Sci, State Key Lab Hydrol Water Resources & Hydraul En, Nanjing 210098, Jiangsu, Peoples R China

[3] Natl Ctr Highperformance Comp, Cloud Comp & Syst Integrat Div, Taichung 40763, Taiwan

来源：

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER | 2016年 / 92卷

关键词：

Heat source recovery problem; Pascal polynomials; Adjoint Trefftz test functions; Green's second identity; Reciprocity gap functional; FUNDAMENTAL-SOLUTIONS; CONDUCTION EQUATION; NUMERICAL-SOLUTION; CAUCHY-PROBLEM; IDENTIFICATION; TEMPERATURE;

D O I：

10.1016/j.ijheatmasstransfer.2015.09.020

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

In this paper, we develop a global domain-boundary integral theory for the one-dimensional heat equation with an unknown space-time dependent heat source. A generalized Green's second identity is derived for a global relation of the unknown heat source under boundary conditions on the whole space-time boundary. Accordingly, we can develop a numerical algorithm based on the global method, which is effective for the inverse heat source problem (IHSP). The global boundary integral equation method (GBIEM) can retrieve the unknown heat source by merely needing the boundary measurements of data, including,a final time condition. Several numerical examples of the IHSP demonstrate that the present method is effective and stable, even for those of strongly ill-posed ones under quite large noises. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：1034 / 1040

页数：7

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