T-Ω formulation with higher order hierarchical basis functions for non simply connected conductors

Ahmed Khebir, Pawel Dlotko, Bernard Kapidani, Ammar Kouki, Ruben Specogna
2016 2016 IEEE Conference on Electromagnetic Field Computation (CEFC)  
This paper presents in detail the extension of the -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
more » ... łotko-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.
doi:10.1109/cefc.2016.7816343 fatcat:jasjpoceenf2dckj4dbsodakhy