Adjoint method for inverse boundary value problem of heat conduction

被引：0

作者：

Onishi, K ^{[1
]}

Ohura, Y ^{[1
]}

机构：

[1] Ibaraki Univ, Dept Math Sci, Mito, Ibaraki 3108512, Japan

来源：

COMPUTATIONAL MECHANICS, VOLS 1 AND 2, PROCEEDINGS: NEW FRONTIERS FOR THE NEW MILLENNIUM | 2001年

关键词：

inverse problem; heat conduction; boundary measurement; adjoint method; direct numerical solution;

D O I：

暂无

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

An inverse boundary value problem for the equation of steady heat conduction is considered. Temperature and heat flux are prescribed on respective part of the boundary, while there is the second part of the boundary where no measurement is done. There is the third part of the boundary where the Newton cooling is prescribed. This problem of finding unknown values along the whole boundary is reformulated in terms of the variational problem, which is then recast into primary and adjoint boundary value problems of the Laplace equation in the conventional forms. A direct method for numerical solution of the boundary value problems using the boundary element method is presented.

引用

页码：1095 / 1100

页数：6

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