Hierarchical vector finite elements for analyzing waveguiding structures

IEEE Transactions on Microwave Theory and Techniques

Volumn 51, Issue 8, 2003, Pages 1897-1905

  Lee, Seung Cheol ^a   Lee, Jin Fa ^a   Lee, Robert ^a  

^a Ohio State University   (United States)

Author keywords

Electromagnetic propagation; Finite element method (FEM); Higher order basis functions; Tree cotree splitting

Indexed keywords

FINITE ELEMENT METHOD; FUNCTIONS; HARMONIC ANALYSIS; MAXWELL EQUATIONS; TREES (MATHEMATICS); VECTORS; WAVEGUIDES;

BASIS FUNCTIONS;

GUIDED ELECTROMAGNETIC WAVE PROPAGATION;

EID: 0042025128     PISSN: 00189480     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMTT.2003.815263     Document Type: Article

References (17)

1. E. Schwig and W. B. Bridges, "Computer analysis of dielectric waveguides: a finite difference method," IEEE Trans. Microwave Theory Tech., vol. MTT-32, pp. 531-541, May 1984.
2. T. Q. Ho and B. Beker, "Frequency-dependent characteristic of shielded broadside coupled microstrip lines on anisotropic substrate," IEEE Trans. Microwave Theory Tech., vol. 39, pp. 1021-1025, June 1991.
3. B. M. A. Rahman and J. B. Davies, "Finite-element analysis of optical and microwave problems," IEEE Trans. Microwave Theory Tech., vol. MTT-32, pp. 531-541, May 1984.
4. P. Savi, I.-L. Gheorma, and R. D. Graglia, "Full-wave high-order FEM model for lossy anisotropic waveguides," IEEE Trans. Microwave Theory Tech., vol. 50, pp. 495-500, Feb. 2002.
5. J. P. Webb, "Hierarchical vector basis functions of arbitrary order for triangular and tetrahedral elements," IEEE Trans. Antennas Propagat., vol. 47, pp. 1244-1253, Aug. 1999.
6. D.-K. Sun, J.-F. Lee, and Z. Cendes, "Construction of nearly orthogonal Nedelec bases for rapid convergence with multilevel preconditioned solvers," SIAM J. Sci. Comput., vol. 23, no. 4, pp. 1053-1076, 2001.
7. A. Bossavit and I. Mayergoyz, "Edge-elements for scattering problems." IEEE Trans. Magn., vol. 25, pp. 2816-2821, July 1989.
8. R. Albanese and G. Rubinacci, "Solution of three dimensional eddy current problems by integral and differential methods," IEEE Trans. Magn., vol. 24, pp. 98-101, Jan. 1998.
9. S. V. Polstyanko and J.-F. Lee, "Hi (curl) tangential vector finite element method for modeling anisotropic optical fibers," J. Lightwave Technol., vol. 13, pp. 2290-2295, Nov. 1995.
10. S. V. Polstyanko, R. Dyczij-Edlinger, and J.-F. Lee, "Fast frequency sweep technique for the efficient analysis of dielectric waveguides," IEEE Trans. Microwave Theory Tech., vol. 45, pp. 1118-1126, July 1997.
11. R. Dyczij-Edlinger, G. Peng, and J.-F. Lee, "Efficient finite element solvers for the Maxwell equations in the frequency domain," Compute. Methods Appl. Mech. Eng., vol. 169, no. 3-4, pp. 297-309, Feb. 1999.
12. 3," Nemer. Math., vol. 35, pp. 315-341, 1980.
13. R. Albanese and G. Rubinacci, "Solution of three dimensional eddy current problems by integral and differential methods," IEEE Trans. Magn., vol. 24, pp. 98-101, Jan. 1998.
14. P. P. Silvester, "Universal finite element matrices for tetrahedral," Int. J. Numer. Methods Eng., vol. 18, pp. 1055-1061, 1982.
15. J.-F. Lee, "Finite element analysis of lossy dielectric waveguides," IEEE Trans. Microwave Theory Tech., vol. 42, pp. 1025-1031, June 1994.
16. S. V. Polstyanko, "Fast adaptive Schwarz-type finite element approach for solving electrostatic problems," Ph.D. dissertation, Dept. Elect. Comput. Eng., Worcester Polytech. Inst., Worcester, MA, 2000.
17. J. V. Bladel, Singular Electromagnetic Fields and Sources. New York: Oxford Univ. Press, 1991.