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$T$-$\Omega$ formulation with higher order hierarchical basis functions for non simply connected conductors

Authors :
Khebir, Ahmed
Dłotko, Paweł
Kapidani, Bernard
Kouki, Ammar
Specogna, Ruben
Publication Year :
2017

Abstract

This paper extends the $T$-$\Omega$ formulation for eddy currents based on higher order hierarchical basis functions so that it can deal with conductors of arbitrary topology. To this aim we supplement the classical hierarchical basis functions with non-local basis functions spanning the first de Rham cohomology group of the insulating region. Such non-local basis functions may be efficiently found in negligible time with the recently introduced D{\l}otko--Specogna (DS) algorithm.

Subjects

Subjects :
Physics - Computational Physics

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1704.03694
Document Type :
Working Paper