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Communication Dans Un Congrès Année : 2001

Shape sensitivity analysis in the Maxwell's equations

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Résumé

The shape sensitivity analysis for hyperbolic problems yields some specific complications due to the hyperbolic regularity, or the lack thereof. In previous works we investigated the wave equation and came up with some shape sensistivity results. In this paper we investigate sensitivity of the solutions to the Maxwell equation with respect to the shape of the domain. We explicit a derivative with respect to a deformation parameter. The transport of the free divergence property requires a specific shape different quotient that is not necessary in the scalar case.
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Dates et versions

hal-00504798 , version 1 (21-07-2010)

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John Cagnol, Jean-Paul Marmorat, Jean-Paul Zolésio. Shape sensitivity analysis in the Maxwell's equations. 19th IFIP TC7 Conference on System Modelling and Optimization, Jul 1999, Cambridge, United Kingdom. p. 27-36, ⟨10.1201/9780203904169.ch2⟩. ⟨hal-00504798⟩
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