Finite Element Solution for a Class of Unbounded Geometries

IEEE Transactions on Antennas and Propagation

Volumn 39, Issue 2, 1991, Pages 244-250

  Ramahi, Omar M ^a   Mittra, Raj ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES--FINITE ELEMENT METHOD;

GREEN'S FUNCTION; INFINITE METALLIC STRUCTURES; SURFACE INTEGRAL EQUATION; UNBOUNDED GEOMETRIES;

ELECTROMAGNETIC WAVES;

EID: 0026103285     PISSN: 0018926X     EISSN: 15582221     Source Type: Journal    
DOI: 10.1109/8.68189     Document Type: Article

References (22)

1. B. Engquist and A. Majda, “Radiation boundary conditions for the numerical simulation of waves,” Math. Comput., vol. 31, no. 139, pp. 629-651, July 1977.
2. A. Bayliss and E. Turkel, “Radiation boundary conditions for wavelike equations,” Comm. Pure Appl. Math., vol. XXXIII, pp. 707-725, 1980.
3. A. Bayliss, M. Gunzburger, and E. Turkel, “Boundary conditions for the numerical solution of elliptic equations in exterior regions,” SIAM J. Appl. Math., vol. 42, no. 2, pp. 430-451, Apr. 1982.
4. S. I. Hariharan, “Absorbing boundary conditions for exterior problems,” NASA Contractor Rep. 177944, ICASE Rep. 85-33, July 1985.
5. R. Mittra and O. M. Ramahi, “Absorbing boundary conditions for the direct solution of partial differential equations arising in electromagnetic scattering problems,” in Differential Methods in Electromagnetic Scattering, vol. II, M. Morgan, Ed. New York: Elsevier, 1989.
6. K. Mei, “Unimoment method of solving antenna and scattering problem,” IEEE Trans. Antennas Propagat., vol. AP-22, pp. 760-766, Nov. 1974.
7. S. Chang and K. Mei, “Application of the unimoment method to electromagnetic scattering of dielectric cylinders,” IEEE Trans. Antennas Propagat., vol. AP-24, pp. 34-42, Jan. 1976.
8. B. H. McDonald and A. Wexler, “Finite element solution of unbounded field problems,” IEEE Trans. Microwave Theory Tech., vol. MTT-20, pp. 841-847, Dec. 1972.
9. A. K. Aziz and R. B. Kellog, “Finite element analysis of a scattering problem,” Math. Comput., vol. 37, pp. 261-272, 1981.
10. G. J. Fix and S. P. Marin, “Variational methods for underwater acoustic problems,” J. Comput. Phys., vol. 28, pp. 253-270, 1978.
11. C. Johnson and J. C. Nedelec, “On the coupling of boundary integral and finite element methods,” Math. Comput., vol. 35, pp. 1063-1079, 1980.
12. C.-C. Su, “A surface integral equation method for homogeneous optical fibers and coupled image lines of arbitrary cross sections,” IEEE Trans. Microwave Theory Tech., vol. MTT-33, pp. 1114-1119, Nov. 1985.
13. J. Fin and V. Liepa, “Application of hybrid finite element method to electromagnetic scattering from coated cylinders,” IEEE Trans. Antennas Propagat., vol. 36, pp. 50-54, Jan. 1988.
14. P. P. Silvester and R. L. Ferrari, Finite Elements for Electrical Engineers. Cambridge, U.K.: Cambridge Univ. Press, 1983.
15. G. Strang and G. Fix, An Analysis of the Finite Element Method. Englewood Cliffs, NJ: Prentice-Hall, 1973.
16. J. N. Reddy, An Introduction to Finite-Element Method. New York: McGraw-Hill, 1984.
17. J. Stratton, Electromagnetic Theory. New York: McGraw-Hill, 1941.
18. R. Harrington, Time-Harmonic Electromagnetic Fields. New York: McGraw-Hill, 1961.
19. K. Whites, private communications.
20. S. W. Lee and H. Ling, “Data book for cavity RCS,” Univ. Illinois, Urbana, Electromagn. Lab. Tech. Rep. SWL89-1, 1989.
21. S. Gedney, private communications.
22. L. L. Balin and S. Silver, “Exterior electromagnetic boundary value problems for spheres and cones,” IRE Trans. Antennas Propagat., vol. AP-4, pp. 5-13, Jan. 1956.