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A Novel Variational Formulation of Inverse Problem of Heat Conduction with Free Boundary on an Image
作者姓名:Gao-LianLiu
作者单位:Shanghai Institute of Mechanical Engrg,Shanghai 200093,China
摘    要:ANovelVariationalFormulationofInverseProblemofHeatConductionwithFreeBoundaryonanImagePlaneGao-LianLiu(ShanghaiInstituteofMech...

关 键 词:热传导  反演问题  变分公式
收稿时间:15 June 1995

A novel variational formulation of inverse problem of heat conduction with free boundary on an image plane
Gao-Lian Liu.A Novel Variational Formulation of Inverse Problem of Heat Conduction with Free Boundary on an Image[J].Journal of Thermal Science,1996,5(2):88-92.
Authors:Gao-Lian Liu
Affiliation:(1) Shanghai Institute of Mechanical Engrg, 200093 Shanghai, China
Abstract:By introducing an image plane, the inverse heat conduction problem with free boundary is transformed into one with completely known boundary, which is much simpler to handle. As a by-product, the classical Kirchhoff’s transformation for accounting for variable conductivity is rederived and an invariance property of the inverse problem solution with respect to variable conductivity is indicated. Then a pair of complementary extremum principles are established on the image plane, providing a sound theoretical foundation for the Ritz’s method and finite element method (FEM). An example solved by FEM is also given.
Keywords:variational formulation  inverse heat conduction problem
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