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• W2164368250 abstract "We consider an inverse problem of identifying the boundary shape of a domain, where the temperature field is dominated by natural convection, from temperature measurements on the other boundary. The potential applications of the present investigations are the determination of a phase change isotherm in the Bridgman crystal growth or the thermal tomography which detects flaws in materials non-destructively. After mapping the irregular domains into a reference one employing a set of parameters, the inverse problem is formulated as a parameter optimization problem which is solved by a conjugate gradient method. The present method is found to identify the domains reasonably accurately even with noisy temperature measurements. Copyright © 2001 John Wiley & Sons, Ltd." @default.
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• W2164368250 date "2001-11-05" @default.
• W2164368250 modified "2023-09-26" @default.
• W2164368250 title "Shape identification for natural convection problems" @default.
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• W2164368250 doi "https://doi.org/10.1002/cnm.454" @default.
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