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Méthode des éléments finis mixtes et conditions aux limites absorbantes pour la modélisation des phénomènes électromagnétiques hyperfréquences

Abstract : The purpose of this work is the numerical modeling of open boundary R.F. electromagnetic phenomena in the frequency domain. Maxwell's equations are discretized in two (2D) and three dimensions (3D) and are coupled with absorbing boundary conditions (ABC). The E or H Galerkin's formulations of the vector wave equation are written in a finite domain bounded by an artificial boundary. Radiation conditions are imposed through a surface operator written on this fictitious boundary. This operator is obtained using local absorbing boundary conditions of Bayliss-Turkel or Engquist-Majda types. The advantages of these conditions are that the sparsity of the finite element matrix is maintained. To facilitate the coupling with the finite element method, ABC are presented in vector and symmetric form. H(rot) mixed finite elements are used. They are vectorial and their components are localized tangentially to the boundaries of the geometric elements. So they implicitly enforce the tangential continuity of the electric and magnetic fields at the interfaces between different media, and they allow the possible normal discontinuity of the fields. Numerical results are first compared with closeform solutions in the case of the scattering of a plane wave by 2D simple shape objects. A very good agreement is obtained for the near and far fields. For the case of perfect conducting cylinders of finite length (3D computation), results are in good agreement with those obtained from a 3D nodal-based finite element method. Application to Vlasov-type mode convertors is then presented.
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https://tel.archives-ouvertes.fr/tel-00140054
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Submitted on : Wednesday, April 4, 2007 - 4:08:24 PM
Last modification on : Wednesday, March 31, 2021 - 3:10:06 AM
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  • HAL Id : tel-00140054, version 1

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N'Guessan Yao Bi. Méthode des éléments finis mixtes et conditions aux limites absorbantes pour la modélisation des phénomènes électromagnétiques hyperfréquences. Autre. Ecole Centrale de Lyon, 1995. Français. ⟨tel-00140054⟩

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