Three-dimensional finite element eddy current analysis by using high-order vector elements

Electrical Engineering in Japan (English translation of Denki Gakkai Ronbunshi)

Volumn 147, Issue 4, 2004, Pages 60-67

  Hano, Mitsuo ^a   Miyamura, Takeshi ^a   Hotta, Masashi ^a  

^a YAMAGUCHI UNIVERSITY   (Japan)

Author keywords

Eddy current analysis; Finite element method; High order elements; Vector polynomial space

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; EDDY CURRENT TESTING; FINITE ELEMENT METHOD; LAGRANGE MULTIPLIERS; MAGNETIC FIELD EFFECTS; POLYNOMIALS; VECTORS;

AC MAGNETIC FIELDS; HIGH ORDER ELEMENTS; VECTOR POLYNOMIAL SPACES;

ELECTRIC CONDUCTORS;

EID: 2442475668     PISSN: 04247760     EISSN: None     Source Type: Journal    
DOI: 10.1002/eej.10306     Document Type: Article

References (13)

1. 3. Numer Math 1980;35:315-341.
2. Bossavit A, Verite JC. A mixed FEM-BIEM method to solve 3-D eddy current problems. IEEE Trans Magn 1982;18:431-435.
3. Hano M. Finite element analysis of dielectric-loaded waveguides. IEEE Trans Microwave Theory Tech 1984;32:1275-1279.
4. Barton ML, Cendes ZJ. New vector finite element for three-dimensional magnetic field computation. J Appl Phys 1987;60:3919-3921.
5. Ahagon A, Fujiwara K, Nakata T. Comparison of various kinds of edge elements for electromagnetic field analysis. IEEE Trans Magn 1965;32:898-901.
6. Savage JS, Peterson AF. Higher-order vector finite elements for tetrahedral cells. IEEE Trans Microwave Theory Tech 1996;44:874-879.
7. Webb JP. Hierarchal vector basis functions of arbitrary order for triangular and tetrahedral finite elements. IEEE Trans Antennas Propag 1999;47:1244-1253.
8. Ren Z, Idea N. High order differential form-based elements for the computation of electromagnetic field. IEEE Trans Magn 2000;36:1472-1477.
9. Hano M, Komatsu H, Taniguchi K. Systematic construction of three-dimensional ultra high-order Nedelec's elements. IEEE Trans Magn 2000;36:1623-1626.
10. Hano M. A subspace method for higher-order vector elements and multi-dimensional eigenvalue problems for the analysis of three-dimensional magnetic fields using the finite element method. J IEICE 2001;J84-C:936-943.
11. Hano M. A proposal for a new basis function for the analysis of electromagnetic fields using the three-dimensional finite element method. J IEICE 2001;J84-C:898-899.
12. Mur G, de Hoop AT. A finite-element method for three-dimensional electromagnetic fields in inhomogeneous media. IEEE Trans Magn 1985;21:2188-2191.
13. Hano M. Analysis using the finite element method for three-dimensional oscillator problems: For a case using tetrahedrons. Trans IEICE 1988;J71-C:333-338.