A hybrid FEBI-MLFMM-UTD method for numerical solutions of electromagnetic problems including arbitrarily shaped and electrically large objects

IEEE Transactions on Antennas and Propagation

Volumn 53, Issue 10, 2005, Pages 3358-3366

  Tzoulis, Andreas ^a   Eibert, Thomas F ^a  

^a FRAUNHOFER GESELLSCHAFT   (Germany)

Author keywords

Boundary integral equations; Fast integral equation solvers; Finite element methods; Hybrid solution methods; Uniform geometrical theory of diffraction (UTD)

Indexed keywords

APPROXIMATION THEORY; ELECTROMAGNETIC WAVE DIFFRACTION; ELECTROMAGNETIC WAVE SCATTERING; FINITE ELEMENT METHOD; INTEGRAL EQUATIONS; MATRIX ALGEBRA; METHOD OF MOMENTS; NUMERICAL METHODS; VECTORS;

BOUNDARY INTEGRAL EQUATIONS; FAST INTEGRAL EQUATION SOLVERS; HYBRID SOLUTION METHODS; UNIFORM GEOMETRICAL THEORY OF DIFFRACTION (UTD);

DIRECTIONAL PATTERNS (ANTENNA);

EID: 27644562635     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAP.2005.856348     Document Type: Article

References (29)

1. S. M. Rao, D. R. Wilton, and A. W. Glisson, "Electromagnetic scattering by surfaces of arbitrary shape," IEEE Trans. Antennas Propag., vol. 30, no. 3, pp. 409-418, May 1982.
2. Y. Saad, Iterative Methods for Sparse Linear Systems, 2nd ed., 2000.
3. T. F. Eibert, "Advances in hybrid finite element - Boundary integral modeling of three-dimensional radiation and scattering problems." in Int. ITG Conf. Antennas. Berlin. Germany, Sep. 2003. pp. 157-160.
4. J.-M. Jin, The Finite Element Method in Electromagnetics. 2nd ed. New York: Wiley, 2002.
5. J. L. Volakis, A. Chatterjee, and L.-C. Kempel, Finite Element Method for Electromagnetics. New York: IEEE, 1998.
6. T. Eibert and V. Hansen, "Calculation of unbounded field problems in free space by a 3D FEM/BEM-hybrid approach," J. Electromag. Waves Applicat., vol. 10. no. 1, pp. 61-78, Jan. 1996.
7. T. F. Eibert and V. Hansen, "3D FEM/BEM-hybrid approach based on a general formulation of Huygens' principle for planar layered media," IEEE Trans. Microw. Theory Tech., vol. 45, no. 7, pp. 1105-1112, Jul. 1997.
8. E. Bleszynski, M. Bleszynski, and T. Jaroszewicz, "AIM: Adaptive integral method for solving large scale etectromagnetic scattering and radiation problems," Radio Sci., vol. 31, pp. 1225-1251, 1996.
9. S. D. Gedney, A. Zhu, W.-H. Tang, G. Liu, and P. Petre, "A fast high-order quadrature sampled pre-corrected FFT for electromagnetic scattering," Microw. Opt. Technol. Lett.. vol. 36, no. 5, pp. 343-349, Mar. 2003.
10. R. Coifman, V. Rokhlin, and S. Wandzura, "The fast multipole method: A pedestrian prescription," IEEE Antennas Propag. Mag., vol. 35, pp. 7-12, 1993.
11. J. M. Song and W. C. Chew, "Multilevel fast-multipole algorithm for solving combined field integral equations of electromagnetic scattering," Microw. Opt. Technol. Lett., vol. 10, no. 1, pp. 14-19, Sep. 1995.
12. W. C. Chew, J.-M. Jin, and E. Michielssen, Fast and Efficient Algorithms in Computational Electromagnetics. Boston, MA: Artech House, 2001.
13. T. F. Eibert, "A diagonalized multilevel fast multipole method with spherical harmonics expansion of the k-space integrals," IEEE Trans. Antennas Propag., vol. 53, no. 2, pp. 814-817, Feb. 2005.
14. C. A. Balanis, Antenna Theory, Analysis and Design. New York: Wiley, 1982.
15. Y. T. Lo and S. W. Lee, Antenna Handbook. New York: Chapman & Hall, 1993, vol. 1.
16. J. B. Keller, "Geometrical theory of diffraction," J. Opt. Soc. Amer., vol. 52, no. 2, pp. 116-130, Feb. 1962.
17. R. G. Kouyoumjian and P. R. Pathak, "A uniform geometrical theory of diffraction for an edge in a perfectly conducting surface," Proc. IEEE. vol. 62, pp. 1448-1461, Nov. 1974.
18. P. R. Pathak, "High-frequency techniques for antenna analysis," Proc. IEEE, vol. 80, pp. 44-65, Jan. 1992.
19. P. Y. Ufimtsev, Method for Edge Waves in the Physical Theory of Diffraction, OH: U.S. Air Force Foreign Technology Div., Wright-Patterson, 1971.
20. G. A. Thiele and T. H. Newhouse, "A hybrid technique for combining moment methods with the geometrical theory of diffraction," IEEE Trans. Antennas Propag., vol. 23, no. 1, pp. 62-69, Jan. 1975.
21. G. A. Thiele, "Overview of selected hybrid methods in radiating system analysis," Proc. IEEE, vol. 80, pp. 66-78, Jan. 1992.
22. W. L. Stutzman and G. A. Thiele, Antenna Theory and Design. New York: Wiley, 1981.
23. L. M. Medgyesi-Mitschang and D.-S. Wang, "Hybrid methods in computational electromagnetics: A review," Comput. Phys. Commun., vol. 68, pp. 76-94, 1991.
24. D. P. Bouche, F. A. Molinet, and R. Mittra, "Asymptotic and hybrid techniques for electromagnetic scattering," Proc. IEEE, vol. 81, pp. 1658-1684, Dec. 1993.
25. U. Jakobus and F. M. Landstorfer, "Improved Po-MoM hybrid formulation for scattering from three-dimensional perfectly conducting bodies of arbitrary shape," IEEE Trans. Antennas Propag., vol. 43, no. 2, pp. 162-169, Feb. 1995.
26. U. Jakobus and F. M. Landstorfer, "Improvement of the Po-MoM hybrid method by accounting for effects of perfectly condunting wedges," IEEE Trans. Antennas Propag., vol. 43, no. 10, pp. 1123-1129, Oct. 1995.
27. 2: Combining the three-dimensional hybrid finite element - Boundary integral technique for planar multilayered media with the uniform geometrical theory of diffraction," IEEE Trans. Antennas Propag., vol. 50, no. 1, pp. 67-74, Jan. 2002.
28. W. C. Chew, T. J. Cui, and J. M. Song, "A FAFFA-MLFMA algorithm for electromagnetic scattering," IEEE Trans. Antennas Propag., vol. 50, no. 11, pp. 1641-1649, Nov. 2002.
29. T. J. Cui, W. C. Chew, G. Chen, and J. M. Song, "Effiecient MLFMA, RPFMA, and FAFFA algorithms for EM scattering by very large structures," IEEE Trans. Antennas Propag., vol. 52, no. 3, pp. 759-770, Mar. 2004.