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

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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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Abstract

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.

Item Type: Peer reviewed article published in a journal
Professor:
Professor
Kouki, Ammar B.
Affiliation: Génie électrique
Date Deposited: 12 Feb 2018 17:14
Last Modified: 22 Jan 2020 20:00
URI: https://espace2.etsmtl.ca/id/eprint/16332

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