A Novel Preconditioning Technique and Comparison of Three Formulations for Hybrid FEM/MoM Methods

Applied Computational Electromagnetics Society Newsletter

Volumn 15, Issue 2, 2000, Pages 103-114

  Ji, Yun ^a   Wang, Hao ^a   Hubing, Todd H ^a  

^a MISSOURI UNIVERSITY OF SCIENCE AND TECHNOLOGY   (United States)

Author keywords

EMC; FEM; Iterative solvers; MoM; Permutation; Preconditioning; Sparse matrix

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; FINITE ELEMENT METHOD; GALERKIN METHODS; INTEGRAL EQUATIONS; ITERATIVE METHODS; MATHEMATICAL MODELS; MATRIX ALGEBRA; METHOD OF MOMENTS;

INWARD LOOKING FORMULATION; OUTWARD LOOKING FORMULATION; PERMUTATION; PRECONDITIONING TECHNIQUE;

ELECTROMAGNETIC COMPATIBILITY;

EID: 0034226447     PISSN: 10569170     EISSN: None     Source Type: Trade Journal    
DOI: None     Document Type: Article

References (38)

1. P. Silvester and M. S. Hsieh, "Finite element solution of 2-dimensional exterior field problems," Proc. Inst. Elect. Eng., vol. 43, pp. 1743-1747, Dec. 1971.
2. B. H. McDonald and A. Wexler, "Finite element solution of unbounded field problems," IEEE Trans. Microwave Theory Tech., vol. 20, pp. 841-847, Dec. 1972.
3. X. Yuan, "Three dimensional electromagnetic scattering from inhomogeneous objects by the hybrid moment and finite element method," IEEE Trans. Microwave Theory Tech., vol. 38, pp. 1053-1058, Aug. 1990.
4. J.-M. Jin and J. L. Volakis, "Electromagnetic scattering by and transmission through a three-dimensional slot in a thick conducting plane," IEEE Trans. Antennas Propagat., vol. 39, pp. 543-550, Apr. 1991.
5. J.-M. Jin and J. L. Volakis, "A hybrid finite element method for scattering and radiation by microstrip patch antenna and arrays residing in a cavity," IEEE Trans, Antennas Propagat., vol. 29, pp. 1598-1604, Nov. 1991.
6. J. Angélini, C. Soize, and P. Soudais, "Hybrid numerical method for harmonic 3D Maxwell equations: Scattering by a mixed conducting and inhomogeneous anisotropic dielectric medium," IEEE Trans. Antennas Propagat., vol. 41, pp. 66-76, Jan. 1993.
7. G. E. Antilla and N. G. Alexopoulos, "Scattering from complex three-dimensional geometries by a curvilinear hybrid finite element-integral equation approach," J. Opt. Soc. Amer. A, vol. 11, no. 4, pp. 1445-1457, Apr. 1994.
8. M. W. Ali, T. H. Hubing, and J. L. Drewniak, "A hybrid FEM/MOM technique for electromagnetic scattering and radiation from dielectric objects with attached wires," IEEE Trans. Electromagnetic Compatibility, vol. 39, pp. 304-314, Nov. 1997.
9. J. Shen and A. Kost, "FE-BE method for EMC problems in power cable systems," IEEE Trans. Magn., vol. 32, pp. 1493-1496, May 1996.
10. A. Kost and H. Igarashi, "Different numerical methods for electromagnetic field computation with thin shielding sheets," Proceedings of the IEEE 1997 International Symposium on Electromagnetic Compatibility, pp. 248-253, Austin, Texas, Aug. 1997.
11. Y. Ji, M. Ali, and T. H. Hubing, "EMC applications of the EMAP5 hybrid FEM/MoM code", Proceedings of the IEEE 1998 International Symposium on Electromagnetic Compatibility, vol. 1, pp. 177-181, Denver, Colorado, Aug. 1998.
12. B.-S. Yang, A. W. Glisson, and P. M. Goggans, "Interior resonance problems associated with hybrid integral equation/partial differential equation methods," Proceedings of the 1992 International IEEE Antennas and Propagation Society Symposium, pp. 781-784, Chicago, Illinois, Jul. 1992.
13. L. W. Pearson, A. F. Peterson, L. J. Bahrmasel, and R. A. Whitaker, "Inward-looking and outward-looking formulations for scattering from penetrable objects," IEEE Trans, Antennas Propagat., vol. 40, pp. 714-720, Jun. 1992.
14. A. F. Peterson, S. L. Ray, and R. Mittra, Computational Methods for Electromagnetics, New York: IEEE Press and Oxford University Press, 1997.
15. J. L. Volakis, T. Özdemir, and J. Gong, "Hybrid finite-element methodologies for antennas and scattering", IEEE Trans, Antennas Propagat., vol. 45, pp. 493-507, Mar. 1997.
16. J. L. Volakis, A. Chatterjee, and L. C. Kempel, Finite Element Method for Electromagnetics, New York: IEEE Press and Oxford University Press, 1998.
17. J. J. H. Wang, Generalized Moment of Methods in Electromagnetics, New York: John Wiley & Sons, 1990.
18. X.-Q. Sheng, J.-M. Jin, J. Song, C.-C. Lu, and W.C. Chew, "On the formulation of hybrid finite-element and boundary-integral methods for 3-D scattering," IEEE Trans, Antennas Propagat., vol. 46, pp. 303-311, Mar. 1998.
19. S. M. Rao, D. R. Wilton, and A. W. Glisson, "Electromagnetic scattering by surfaces of arbitrary shape," IEEE Trans. on Antennas and Propagat., vol. 30, pp. 409-418, May 1982.
20. P. P. Silvester and R. L. Ferrari, Finite Elements for Electrical Engineers, Cambridge University Press, 1996.
21. J.-M. Jin, The Finite Element Method in Electromagnetics, New York: John Wiley & Sons Inc, 1993.
22. M. L. Barton and Z. J. Cendes, "New vector finite elements for three-dimensional magnetic field computation," Journal of Applied Physics, vol. 61, pp. 3919-392, Apr. 1987.
23. R. Barrett, M. Berry, T. F. Chan, F. Demmel, J. M. Donato, J. Dongarra, V. Eijkhout, R. Pozo, C. Romine, and H. Van der Vorst, Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods, Philadelphia: SIAM, 1994.
24. Y. Saad, Iterative Methods for Sparse Linear Systems, Boston: PWS Publishing Company, 1996.
25. MATLAB is a product of Mathworks, Inc, U.S.A..
26. MATLAB manuals, Mathworks, Inc, U.S.A..
27. th National Conference of the ACM, New Jersey: Brandon Systems Press, 1969.
28. A. George and J. W. H. Liu, Computer Solution of Large Sparse Positive Definite Systems, New Jersey: Prentice-Hall, 1981.
29. S. Pissanetzky, Sparse Matrix Techniques, New York: Academic Press, 1984.
30. J. R. Gilber, C. Moler, and R. Schreiber, "Sparse matrices in MATLAB: Design and implementation," SIAM J. Matrix Anal. Appl., vol. 13, pp. 333-356, Jan. 1992.
31. 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.
32. J.-M. Jin and J. L. Volakis, "A finite element-boundary integral formulation for scattering by three-dimensional cavity-backed apertures," IEEE Trans, Antennas Propagat., vol. 39, pp. 97-104, Jan. 1991.
33. O. M. Ramahi and R. Mittra, "Finite element solution for a class of unbounded geometries," IEEE Trans, Antennas Propagat., vol. 39, pp. 244-250, Feb. 1991.
34. J.-M. Jin and V. V. Liepa, "A note on hybrid finite element method for solving scattering problems," IEEE Trans, Antennas Propagat., vol. 36, pp. 1486-1490, Oct. 1988.
35. X. 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.
36. A. C. Cangellaris and R. Lee, "Finite element analysis of electromagnetic scattering from inhomogeneous cylinders at oblique incidence," IEEE Trans, Antennas Propagat., vol. 39, pp. 645-650, May 1990.
37. D. Janković, M. LaBelle, D. C. Chang, J. M. Dunn, and R. C. Booton, "A hybrid method for the solution of scattering from inhomogeneous dielectric cylinders of arbitrary shape," IEEE Trans, Antennas Propagat., vol. 42, pp. 1215-1222, Sept. 1994.
38. J. Shen, T. Hybler, and A. Kost, "Preconditioned iterative solvers for complex and unsymmetric systems of equations resulting from the hybrid FEBE method," IEEE Trans. Magn., vol. 33, pp. 1764-1767, Mar. 1997.