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• W129051968 abstract "We define and analyze a linear transformation - the heat trans form - that allows to map solutions of hyperbolic equations to solutions of corresponding para bolic equations. The inversion of this mapping can be used to transform an inverse problem for the heat equation to a similar problem for the wave equation. This work is motivated by problems of finding interfaces, boundaries a nd associated heat conduction parameters in the thermal analysis of electronic circuits when transient data are ava ilable. Since the inversion of the transformation is ill-po sed, we use a semi-smooth Newton scheme to regularize it enforcing sparsity of the solution. We present some numerical results of this procedure for simulated and measured data, w hich shows that heat conduction effects due to interfaces and boundaries can be found and classified by an inversion of t he heat transform." @default.
• W129051968 created "2016-06-24" @default.
• W129051968 creator A5022178059 @default.
• W129051968 creator A5038887009 @default.
• W129051968 date "2009-01-01" @default.
• W129051968 modified "2023-09-27" @default.
• W129051968 title "THE HEAT TRANSFORM AND ITS USE IN THERMAL IDENTIFICATION PROBLEMS FOR ELECTRONIC CIRCUITS" @default.
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