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• W2530481283 abstract "Our work is devoted to an inverse problem for three‐dimensional parabolic partial differential equations. When the surface temperature data are given, the problem of reconstructing the heat flux and the source term is investigated. There are two main contributions of this paper. First, an adjoint problem approach is used for analysis of the Fréchet gradient of the cost functional. Second, an improved conjugate gradient method is proposed to solve this problem. Based on Lipschitz continuity of the gradient, the convergence analysis of the conjugate gradient algorithm is studied. Copyright © 2016 John Wiley & Sons, Ltd." @default.
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• W2530481283 date "2016-10-10" @default.
• W2530481283 modified "2023-10-16" @default.
• W2530481283 title "Simultaneous reconstruction of the surface heat flux and the source term in 3D linear parabolic problem by modified conjugate gradient method" @default.
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• W2530481283 doi "https://doi.org/10.1002/mma.4201" @default.
• W2530481283 hasPublicationYear "2016" @default.
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