Automatic Treatment of Multiply Connected Regions in Integral Formulations

Author

Rubinacci, Guglielmo ; Tamburrino, Antonello

Author_Institution

DEL, Univ. di Napoli Federico II, Naples, Italy

Volume

46

Issue

8

fYear

2010

Firstpage

2791

Lastpage

2794

Abstract

This paper deals with the volume integral formulation of the eddy current problem in terms of the electric vector potential. Its aim is to present a simple topological algorithm for finding the additional degrees of freedom required in the discretization of a multiply connected region when using edge elements. The algorithm is completely automatic and it is based, as other previous approaches, on the application of the spanning tree technique on the graph made by the edges and nodes of the finite element mesh lying on the boundary surface of the conducting domain.

Keywords

eddy currents; finite element analysis; topology; automatic treatment; boundary surface; conducting domain; degrees of freedom; eddy current problem; edge elements; electric vector potential; finite element mesh lying; multiply connected region; spanning tree technique; topological algorithm; volume integral formulation; Boundary conditions; Current density; Eddy currents; Electric potential; Electrodes; Finite element methods; Magnetic domains; Null space; Shape; Tree graphs; Eddy currents; field-circuit coupling; integral formulations; multiply connected domains;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2010.2043722

Filename

5512850