Finite element methods; vector potential; gauge condition; edge elements
Abstract :
[en] A sequence of finite element spaces built on tetrahedra, hexahedra and prisms, is presented, and a gauge condition for vector potentials is shown to be well defined in these spaces. Results are presented for a modified vector potential formulation for 3D eddy current problems.
Disciplines :
Electrical & electronics engineering
Author, co-author :
Dular, Patrick ; Université de Liège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE)
Nicolet, André
Genon, André
Legros, Willy
Language :
English
Title :
A Discrete Sequence Associated with Mixed Finite Elements and its Gauge Condition for Vector Potentials
Publication date :
May 1995
Journal title :
IEEE Transactions on Magnetics
ISSN :
0018-9464
eISSN :
1941-0069
Publisher :
IEEE, Piscataway, United States - New Jersey
Volume :
31
Issue :
3
Pages :
1356-1359
Peer reviewed :
Peer Reviewed verified by ORBi
Funders :
BELSPO - SPP Politique scientifique - Service Public Fédéral de Programmation Politique scientifique
A. Bossavit, “A rationale for “edge-elements” in 3-D fields computations”, IEEE Transactions on Magnetics, vol. 24, no. 1, pp. 74–79, January 1988.
P. Dular, A. Nicolet, A. Genon, W. Legros, “Mixed finite elements associated with a collection of tetrahedra, hexahedra and prisms”, IEEE Transactions on Magnetics, vol. 30, no. 5, pp. 2980–2983, September 1994.
R. Albanese & G. Rubinacci, “Integral formulation for 3D eddy-current computation using edge elements”, IEE Proceedings, Vol. 135, Pt. A, No. 7, pp. 457–462, September 1988.
R. Albanese & G. Rubinacci, “Magnetostatic field computation in terms of two-component vector potentials”, International Journal for Numerical Methods in Engineering, Vol. 29, pp. 515–532, 1990.
A. Bossavit, “Two dual formulations of the 3D eddy currents problem”, COMPEL, No. 4, pp. 103-116, 1984.
R. Boite & J. Neirynck, Théorie des réseaux de Kirchhoff, Traité d'électricité de l'Ecole Polytechnique Fédérate de Lausanne, Vol. IV, Editions Georgi, 1976.
A. Kameari, “Results for benchmark calculations of problem 4 (the FELIX brick)”, COMPEL, Vol. 7, No. 1, pp. 65–80, 1988.
L.R. Turner, K. Davey, N. Ida, D. Rodger, A. Kameari, A. Bossavit & C.R.I. Emson, “Paper on benchmark problems for the validation of eddy current computer codes”, COMPEL, Vol. 7, March/June 1988.
A. Kameari, “Calculation of transient 3D eddy current using edge elements”, IEEE Transactions on Magnetics, vol. 26, no. 2, pp. 466–469, March 1990.
J.S. Wang & N. Ida, “Curvilinear and higher order edge finite elements in electromagnetic field computation”, IEEE Transactions on Magnetics, vol. 29, no. 2, pp. 1491–1494, March 1993.
