Edge-elements for scattering problems

IEEE Transactions on Magnetics

Volumn 25, Issue 4, 1989, Pages 2816-2821

  Mayergoyz, I ^b  

^a EDF R AND D   (France)

^b UNIVERSITY OF MARYLAND   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES--FINITE ELEMENT METHOD; WAVEGUIDES--ANALYSIS;

EDGE ELEMENTS; SPURIOUS MODES;

ELECTROMAGNETIC WAVES;

EID: 0024703176     PISSN: 00189464     EISSN: 19410069     Source Type: Journal    
DOI: 10.1109/20.34294     Document Type: Article

References (18)

1. M. L. Barton, Z. J. Cendes, “New vector finite elements for three-dimensional dimensional magnetic fields computations”, J. Appl. Phys., 61, 8 (1987), pp. 3919–21.
2. A. Bayliss, C. I. Goldstein, E. Turkel, “An Iterative Method for the Helmholtz Equation”, J. Comp. Phys., 49 (1983), pp. 443–57.
3. A. Bossavit, “Mixed Methods and the Marriage between Finite Elements and Boundary Elements”, in Boundary Elements X, Vol. 1 (C. A. Brebbia, ed.), Springer (Berlin), 1988, pp. 447–58.
4. A. Bossavit, “Two dual formulations of the 3-D eddy-currents problem”, COMPEL, 4, 2 (1984), pp. 103–16.
5. A. Bossavit, J. C. Vérité, “A Mixed FEM-BIEM Method to Solve 3-D Eddy-Current Problems”, IEEE Trans., MAG-18, 2 (1982), pp. 431–35.
6. C. J. Carpenter, “Comparison of alternative formulations of 3-dimensional dimensional magnetic-field and eddy-current problems at power frequencies”, Proc. IEE, 124, 11 (1977), pp. 1026–34.
7. G. Duvaut, J.L. Lions, Les inéquations en mécanique et en physique, Dunod (Paris), 1972.
8. R. L. Ferrari, “Complementary variational formulations for eddy-current current problems using the field variables E and H directly”, IEE. Proc., 132, Pt. A, 4 (1985), pp. 157–64.
9. P. Hammond, T.D. Tsiboukis, “Dual finite-element calculations for static electric and magnetic fields”, IEE Proc., Pt. A, 130, 3 (1983).
10. K. Hayata, M. Koshiba, M. Eguchi, M. Suzuki, “Vectorial-Finite-Element Element Method Without Any Spurious Solutions for Dielectric Waveguiding Problems Using Transverse Magnetic-Field Component”, IEEE Trans., MTT-34, 11 (1986), pp. 1120–24.
11. F. Kikuchi, “Mixed and Penalty Formulations for Finite Element Analysis of an Eigenvalue Problem in Electromagnetism”, Comp. Meth. Appl. Mech. Engng., 64, 1–3 (1987), pp. 509–21.
12. J. Komorowski, “On Finite-Dimensional Approximations of the Exterior Differential, Codifferential and Laplacian on a Riemannian Manifold”, Bull. Acad. Pol. Sc., 23, 9 (1975), pp. 999–1004. 1004.
13. J. Penman, J.R. Fraser, “Dual and Complementary Energy Methods in Electromagnetism”, IEEE Trans., MAG-19, 6 (1983), pp. 2311–16.
14. J. Penman, J.R. Fraser, “Unified approach to problems in electromagnetism”, IEE Proc. 131, Pt A, 1 (1984), pp. 55–61.
15. E. Tonti, “On the mathematical structure of a large class of physical theories”, Rend. Acc. Lincei, 52 (1972), pp. 48–56.
16. J. S. van Welij, “Calculation of Eddy Currents in Terms of H on Hexahedra”, IEEE Trans., MAG-21, 6 (1985), pp. 2239–41.
17. J. P. Webb, G. L. Maile, R. L. Ferrari, “Finite-element solution of three-dimensional electromagnetic problems”, IEE Proc., 130, Pt. H, 2 (1983), pp. 153–59.
18. H. Whitney, Geometric Integration Theory, Princeton U.P. (Princeton), 1957.