Comparison of tetrahedral edge finite-elements using different potential formulations

Author

Hollaus, Karl ; Bíró, Oszkár

Author_Institution

Inst. for Fundamentals & Theor. in Electr. Eng., Graz Univ., Austria

Volume

41

Issue

5

fYear

2005

fDate

5/1/2005 12:00:00 AM

Firstpage

1676

Lastpage

1679

Abstract

In the last decade, edge finite-elements (FEs) have prevailed over nodal ones to approximate vector potentials especially in computing eddy current problems. Various tetrahedral edge FEs have been developed to treat three dimensional problems. The computational effort to solve the resulting equation system by the incomplete Cholesky conjugate gradient (ICCG) technique using Whitney elements and symmetric tetrahedral nodal and edge FEs of second order have been compared for different potential formulations.

Keywords

computational electromagnetics; conjugate gradient methods; convergence of numerical methods; eddy current testing; finite element analysis; magnetic fields; Whitney elements; eddy currents; finite-element method; incomplete Cholesky conjugate gradient technique; numerical method convergence; tetrahedral edge finite-elements; vector potentials; Coils; Differential equations; Eddy currents; Electric potential; Finite element methods; Integral equations; Iron; Magnetic fields; Magnetic flux; Magnetic flux density; Convergence of numerical methods; eddy currents; edge elements; finite-element (FE) method; potential formulations;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2005.846089

Filename

1430938