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Calcul hautes performances pour les formulations intégrales en électromagnétisme basses fréquences. Intégration, compression matricielle par ondelettes et résolution sur architecture GPGPU

Abstract : Integral equation methods are widely used in electromagnetism modeling because, in opposition to finite element methods, they do not require the meshing of non-active materials like air. Therefore they lead to formulations with small degrees of freedom. However, they also lead to fully dense systems of equations. Computation times are expensive and the storage of the matrix is very expensive. This work presents different parallel computation strategies in order to speed up the computation time, in particular the use of graphical processing units (GPGPU) is focused. The next point is to reduce the memory requirements thanks to wavelets compression (it is an algorithm similar to image compression). The compression technique introduces errors, therefore a control criterion is proposed. The methodology is applied to an electrostatic formulation but it is general and it could also be used with others integral formulations.
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Christophe Rubeck. Calcul hautes performances pour les formulations intégrales en électromagnétisme basses fréquences. Intégration, compression matricielle par ondelettes et résolution sur architecture GPGPU. Autre. Université de Grenoble, 2012. Français. ⟨NNT : 2012GRENT067⟩. ⟨tel-00864059⟩

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