Tree-cotree decompositions for first-order complete tangential vector finite elements

International Journal for Numerical Methods in Engineering

Volumn 40, Issue 9, 1997, Pages 1667-1685

  Manges, J B ^a   Cendes, Z J ^a  

^a ANSOFT CORPORATION   (United States)

Author keywords

Cotree; Finite elements; Magnetostatics; Tree; Vector elements

Indexed keywords

FINITE ELEMENT METHOD; MATHEMATICAL MODELS; PROBLEM SOLVING; TREES (MATHEMATICS); VECTORS;

FIRST ORDER COMPLETE TANGENTIAL VECTOR FINITE ELEMENTS; TREE COTREE DECOMPOSITIONS;

MAGNETOSTATICS;

EID: 0031142323     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19970515)40:9<1667::AID-NME133>3.0.CO;2-9     Document Type: Article

References (20)

1. P. Silvester and G. Pelosi, Finite Elements for Wave Electromagnetics - Methods and Techniques, IEEE Press, Piscataway, 1994.
2. J. Lee, D. Sun and Z. Cendes, 'Tangential vector finite elements for electromagnetic field computation', IEEE Trans. Magnetics, 27, 4032-4035 (1991).
3. R. Albanese and G. Rubinacci, 'Integral formulation for 3D eddy-current computation using edge elements', IEE Proc., 135, Pt. A, 457-462 (1988).
4. J. Webb and B. Forghani, 'A T-omega method using hierarchal edge elements', IEE Proc., Sci. Meas. Technol., 142, No. 2, 131-141 (1995).
5. J. Lee, D. Sun and Z. Cendes, 'Full-wave analysis of dielectric waveguides using tangential vector finite elements', IEEE Trans. Microwave Theory Technique, 39 (1991).
6. High Frequency Structure Simulator Users Manual, Ansoft Corporation, Pittsburgh, PA, 1990.
7. Z. Cendes, 'Vector finite elements for electromagnetic field computation', IEEE Trans. Magnetics, 27, 3958-3966, (1991).
8. J. Webb and B. Forghani, 'Hierarchal scalar and vector tetrahedra', IEEE Trans. Magnetics, 29, 1495-1498 (1993).
9. D. Sun, J. Manges, X. Yuan and Z. Cendes, 'Spurious modes in the finite element method', Antennas Propagation Magazine, 37 (1995).
10. J. Manges and Z. Cendes, 'Generation of tangential vector finite elements', Int. Compumag Soc. Newsletter, 3(1), 4-10 (1996).
11. M. Barton and Z. Cendes, 'New vector finite elements for three-dimensional magnetic field computation', J. Appl. Phys., 61, 3919-3921 (1987).
12. S. Wong and Z. Cendes, 'Combined finite element-modal solution of three-dimensional eddy current problems', IEEE Trans. Magnetics, 24, 2685-2687 (1988).
13. 3', Numer. Math., 35, 315-341 (1980).
14. G. Strang, Linear Algebra and its Applications, 3rd edn, Harcourt Brace Jovanovich, San Diego, 1988.
15. P. Silvester and R. Ferrari, Finite Elements for Electrical Engineering, 2nd edn, Cambridge University Press, New York, 1990.
16. A. Peterson, 'Vector finite element formulation for scattering from two-dimensional heterogeneous bodies', IEEE Trans. Antennas Propagation, 43, 357-365 (1994).
17. J. Manges and Z. Cendes, 'A generalized tree-cotree gauge for magnetic field computation', IEEE Trans. Magnetics, 31 (1995).
18. J. Webb, 'Edge elements and what they can do for you', IEEE Trans. Magnetics, 29, 1460-1465 (1993).
19. W. Chen, Applied Graph Theory, Elsevier, New York, 1971.
20. Z. Cendes, D. Shenton and H. Shahnasser, 'Magnetic field computation using Delaunay triangulation and complementry finite element methods', IEEE Trans Magnetics, 19, 2551-2554 (1983).