This paper extends the T-Ω 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 DS algorithm.

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

KAPIDANI, Bernard;SPECOGNA, Ruben
2017-01-01

Abstract

This paper extends the T-Ω 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 DS algorithm.
9781509010325
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11390/1103193
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