T -Ω Formulation with Higher-Order Hierarchical Basis Functions for Nonsimply Connected Conductors
Joint Authors
Specogna, Ruben
Khebir, Ahmed
Dłotko, Paweł
Kapidani, Bernard
Kouki, Ammar
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-01-11
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Khebir, Ahmed& Dłotko, Paweł& Kapidani, Bernard& Kouki, Ammar& Specogna, Ruben. 2018. T -Ω Formulation with Higher-Order Hierarchical Basis Functions for Nonsimply Connected Conductors. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1209249
Modern Language Association (MLA)
Khebir, Ahmed…[et al.]. T -Ω Formulation with Higher-Order Hierarchical Basis Functions for Nonsimply Connected Conductors. Mathematical Problems in Engineering No. 2018 (2018), pp.1-8.
https://search.emarefa.net/detail/BIM-1209249
American Medical Association (AMA)
Khebir, Ahmed& Dłotko, Paweł& Kapidani, Bernard& Kouki, Ammar& Specogna, Ruben. T -Ω Formulation with Higher-Order Hierarchical Basis Functions for Nonsimply Connected Conductors. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1209249
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1209249