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• W2078585878 abstract "In this article we deal with the determination of a diffusion coefficient function in a quasi-linear parabolic system. The motivation comes from a metallurgy setting. The solution method is based on the output least-squares approach (OLS) with minimization applying the adjoint equation. As the diffusion coefficient has an a-priori unknown form, we apply freeform determination in which the coefficient is defined by a linear interpolation. To avoid higher order of interpolation of the coefficient, as well as to enable the use of an adjoint system which is of the same complexity as the original partial differential equation, a reduced adjoint equation is used, applying a mapping strategy. This method is compared with a standard Levenberg-Marquardt approach." @default.
• W2078585878 created "2016-06-24" @default.
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• W2078585878 date "2008-07-01" @default.
• W2078585878 modified "2023-10-14" @default.
• W2078585878 title "Freeform determination of a nonlinear diffusion coefficient by a reduced adjoint system" @default.
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• W2078585878 doi "https://doi.org/10.1088/1742-6596/124/1/012032" @default.
• W2078585878 hasPublicationYear "2008" @default.
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