T-Ω Formulation with higher-order hierarchical basis functions for nonsimply connected conductors

Khebir, Ahmed, Dłotko, Pawel, Kapidani, Bernard, Kouki, Ammar et Specogna, Ruben. 2018. « T-Ω Formulation with higher-order hierarchical basis functions for nonsimply connected conductors ». Mathematical Problems in Engineering, vol. 2018.

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Résumé

This paper presents in detail the extension of the T-Ω formulation for eddy currents based on higher-order hierarchical basis functions so that it can automatically deal with conductors of arbitrary topology. To this aim, we supplement the classical hierarchical basis functions with nonlocal basis functions spanning the first de Rham cohomology group of the insulating region. Such nonlocal basis functions may be efficiently and automatically found in negligible time with the recently introduced Dłotko–Specogna (DS) algorithm. The approach presented in this paper merges techniques together which to some extent already existed in literature but they were never grouped together and tested as a single unit.

Type de document:	Article publié dans une revue, révisé par les pairs
Professeur:	Professeur Kouki, Ammar B.
Affiliation:	Génie électrique
Date de dépôt:	12 févr. 2018 17:14
Dernière modification:	22 janv. 2020 20:00
URI:	https://espace2.etsmtl.ca/id/eprint/16332

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