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A selective review of the finite element-ABC and the finite element-boundary integral methods for electromagnetic scattering

UNE REVUE SÉLECTIVE DES MÉTHODES ÉLÉMENTS FINIS-ABC ET ÉLÉMENTS FINIS-INTÉGRALES DE FRONTIÈRE POUR LA DIFFRACTION EN ÉLECTROMAGNÉTISME

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Abstract

This paper reviews two hybrid (frequency domain) finite element methods for electromagnetic scattering applications. Specifically, the progress over the last five years or so is reviewed as it pertains to the finite element method when combined with the boundary integral or the absorbing boundary conditions for truncating the computational domain. After a brief presentation of the associated mathematical formulations, we review two and three dimensional applications of the aforementioned methods. In addition, a brief review section on the popular element shape functions is included.

Résumé

Cet article présente deux méthodes ďéléments finis (en domaine fréquentiel) pour des applications de la diffraction en électromagnétisme. Le progrès sur les cinq dernières années fait par la méthode ďéléments finis pour la troncature du domaine de calcul grâce aux intégrales de frontière ou aux conditions absorbantes de frontière est analysé. Après une brève présentation des formulations mathématiques, des applications à deux et trois dimensions des méthodes présentées sont étudiées.

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  1. Radiation Laboratory, Department of Electrical Engineering and Computer Science, The University of Michigan, 48109-2122, Ann Arbor, MI, USA

    John L. Volakis & A. Chatterjee

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Volakis, J.L., Chatterjee, A. A selective review of the finite element-ABC and the finite element-boundary integral methods for electromagnetic scattering. Ann. Télécommun. 50, 499–509 (1995). https://doi.org/10.1007/BF02995749

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