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Communication Dans Un Congrès Année : 2015

Testing 3D inversion algorithms using optimized FETI-FDP2 method against experimental datas.

Ivan Voznyuk
  • Fonction : Auteur
  • PersonId : 952303
Amelie Litman
Hervé Tortel
  • Fonction : Auteur
  • PersonId : 834115

Résumé

Often, inverse problems are solved thanks to optimization schemes which are based on iterative techniques requiring a call to a forward solver at each iteration. This forward solver must simulate in an efficient way the scattered field associated to the predicted permittivity map. It must also take into account the environment in the vicinity of the object (rough surface, medias with complex shape...) Moreover, this forward solver is also exploited to estimate efficiently the various gradients which are necessary to compute the descent direction updates. Indeed, due to the reciprocity properties of the wave equations, it is possible to directly provide close- form expressions of these gradients by means of a point-by-point complex multiplication of the electromagnetic field and of a so-called a joint field. We have developed a finite-element modelling tool associated to a domain decomposition technique where the computational problem is divided into non overlapping subdomains in order to construct and solve an equivalent reduced-order interface problem. The solution inside each subdomain can then be evaluated independently by imposing known mixed boundary conditions at the internal interfaces between subdomain. Such a tool enables to handle large-scale electromagnetic problem. We will present in this talk the combination and the optimization of this direct solver with a Newton-type minimization scheme. Inversion results obtained from 3D experimental data will also be displayed.
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Dates et versions

hal-01333478 , version 1 (17-06-2016)

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  • HAL Id : hal-01333478 , version 1

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Ivan Voznyuk, Amelie Litman, Hervé Tortel. Testing 3D inversion algorithms using optimized FETI-FDP2 method against experimental datas.. Int. Conference on Computational Physics (ICCP9), 2015, Singapore, Singapore. ⟨hal-01333478⟩
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