Hybrid Numerical Method for Harmonic 3-D Maxwell Equations: Scattering by a Mixed Conducting and Inhomogeneous Anisotropic Dielectric Medium

IEEE Transactions on Antennas and Propagation

Volumn 41, Issue 1, 1993, Pages 66-76

  Angelini, Jean Jacques ^a   Soize, Christian ^a   Soudais, Paul ^a  

^a ONERA   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DIELECTRIC MATERIALS; FINITE ELEMENT METHOD; INTEGRAL EQUATIONS; NUMERICAL METHODS;

3-D MAXWELL EQUATIONS; HYBRID NUMERICAL METHOD; INHOMOGENEOUS ANISOTROPIC DIELECTRIC MEDIUM; IRREGULAR FREQUENCIES; RESONANT FREQUENCIES;

ELECTROMAGNETIC WAVE SCATTERING;

EID: 0027259851     PISSN: 0018926X     EISSN: 15582221     Source Type: Journal    
DOI: 10.1109/8.210117     Document Type: Article

References (21)

1. M. A. Morgan, C. H. Chen, S. C. Hill, and P. W. Barber, “Finite element-boundary integral formulation for electromagnetic scattering,” Wave Motion, vol. 6, pp. 91–103, 1984.
2. K. D. Paulsen, D. R. Lynch, and J. W. Strohbehn, “Three-dimensional finite, boundary, and hybrid element solutions of the Maxwell equations for lossy dielectric media,” IEEE Trans. Microwave Theory Tech., vol. 36, pp. 682–693, Apr. 1988.
3. X. C. Yuan, D. R. Lynch, and J. W. Strohbehn, “Coupling of finite element and moment methods for electromagnetic scattering from inhomogeneous objects,” IEEE Trans. Antennas Propagat., vol. 38, pp. 386–393, Mar. 1990.
4. O. M. Ramahi and R. Mittra, “A surface integral equation method for the finite element solution of waveguide discontinuity problem,” IEEE Trans. Microwave Theory Tech., vol. 39, pp. 604–608, Mar. 1991.
5. A. R. Pinchuck, C. W. Crowley, and P. P. Silvester, “Spurious solutions to vector diffusions and wave field problems,” IEEE Trans. Magn., vol. 24, pp. 158–161, Jan. 1988.
6. J. R. Mautz and R. F. Harrington, “A combined-source solution for radiation and scattering from a perfectly conducting body,” IEEE Trans. Antennas Propagat., vol. 27, pp. 445–454, July 1979.
7. W. D. Murphy, V. Rokhlin, and M. S. Vassiliou, “Solving electromagnetic scattering problems at resonance frequencies,” J. Appl. Phys., vol. 67, no. 10, pp. 6061–6065, May 1990.
8. G. Johnson and J. C. Nedelc, “On the coupling of boundary integral and finite element methods,” Math. Comput., vol. 35, pp. 1063–1079, 1980.
9. D. Kalfon and H. Fourment, “Resolution par elements finis mixtes des equations de Maxwell en regime stationnaire: application a la SER,” La Recherche Aerospatiale, vol. 1, pp. 59–66, 1991.
10. T. K. Sarkar and E. Arvas, “An integral equation approach to the analysis of finite microstrip antennas: Volume/surface formulation,” IEEE Trans. Antennas Propagat., vol. 38, pp. 305–312, Mar. 1990.
11. S. M. Rao, D. R. Wilton, and A. W. Glisson, “Electromagnetic scattering by surfaces of any shape,” IEEE Trans. on Antennas and Propagat., vol. 30, pp. 409–118, May 1982.
12. K. Umashankar, A. Taflove, and S. M. Rao, “Electromagnetic scattering by arbitrary shaped three-dimensional homogeneous lossy dielectric objects,” IEEE Trans. on Antennas and Propagat., vol. 34, June 1990.
13. P. P. Silvester and R. L. Ferrari, Finite Elements for Electrical Engineers. Cambridge, U.K.: Cambridge University Press, 1983.
14. J. J. Angelini, C. Soize, and P. Soudais, “Methode numerique mixte pour la resolution des equations de Maxwell harmoniques. III: Algorithme iteratif, code et validations,” La Recherche Aerospatiale, vol. 4, pp. 57–72, 1992. (Also in English edition.)
15. R. Dautray and J. L. Lions, Analyse Mathematique et Calcul Numerique. Paris: Masson, 1987.
16. J. D. Jackson, Classical Electrodynamics. New York: John Wiley, 1975.
17. J. A. Stratton, Electromagnetic Theory. New York: McGraw-Hill, 1941.
18. J. J. Angelini and C. Soize, “Methode numerique mixte: equation integrate - elements finis, pour la SER harmonique 3-D. Partie I: Formulation et analyse numerique,” ONERA, Rapport Technique 5/2894 RN 081 R, Sept. 1989.
19. J. J. Angelini, C. Soize, and P. Soudais, “Methode numerique mixte pour la resolution des equations de Maxwell harmoniques. I: Formulation,” La Recherche Aerospatiale, vol. 4, pp. 27—13, 1992. (Also in English edition.)
20. J. J. Angelini, C. Soize, and P. P. Soudais, “MeThode nuMeRique mixte pour la resolution des equations de Maxwell harmoniques. II: Construction des approximations nuMeRiques,” La Recherche Aerospatiale, vol. 4, pp. 45–55, 1992. (Also in English edition.)
21. S. C. Eisenstat, H. C. Elman, and M. H. Schultz, “Variational iteration methods for non symmetric systems of linear equations,” SIAM J. Numer. Anal., vol. 20, no. 2, pp. 345–357, 1983.