Numerical study of approximate inverse preconditioner for two-dimensional engine inlet problems

Electromagnetics

Volumn 19, Issue 2, 1999, Pages 131-146

  Ahn, C H ^a   Chew, W C ^a   Zhao, J S ^a   Michielssen, E ^a  

^a University of Illinois at Urbana Champaign   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AIRCRAFT ENGINES; ALGORITHMS; APPROXIMATION THEORY; INTAKE SYSTEMS; INVERSE PROBLEMS; ITERATIVE METHODS; MATRIX ALGEBRA; METHOD OF MOMENTS;

APPROXIMATE INVERSE PRECONDITIONERS;

ELECTROMAGNETIC WAVE SCATTERING;

EID: 0033099830     PISSN: 02726343     EISSN: 1532527X     Source Type: Journal    
DOI: 10.1080/02726349908908631     Document Type: Article

References (19)

1. J. H. Richmond : TE wave scattering by a dielectric cylinder of arbitrary cross-section shape," IEEE Trans. Antennas Propagat., vol. AP-14, pp. 460-464, 1966.
2. R. F. Harrington, Field Computation by moment Methods. (Malabar, Florida: Krieger Pub)., 1981.
3. R. Barrett Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods. Philadelphia: SIAM Publ., 1995.
4. V. Rokhlin, "Rapid solution of integral equations of scattering theory in two dimension," J. Comput. Phys., vol. 86 (2), pp. 414-439, 1990.
5. C. C. Lu and W. C. Chew, "Fast algorithm for solving hybrid integral equations," Inst. Elect. Eng. Proc. Pt. H, vol. 140(1), pp. 455-460, 1993.
6. C. C. Lu and W. C. Chew, "A multilevel algorithm for solving a boundary integral equation for wave scattering," Microw. Opt. Technol. Lett., vol. 7(10), pp. 466-470, 1994.
7. 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(1), pp. 14-19, 1995.
8. J. M. Song, C. C. Lu, and W. C. Chew, "Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects," IEEE Tmas. on Ant. Prop., vol. 45(10), pp. 1488-1493, 1997.
9. T. Dupont, R. P. Kendall, and H. H. Rachford, "An approximate factorization procedure for solving self-adjoint elliptic difference equations," SIAM J. Numer. Anal., vol. 5(3), pp. 559-573, 1968.
10. T. Kailath, A. Vieira, and M. Morf, "Inverse of toeplitz operators, innovations, and orthogonal polynomials," SIAM Review, vol. 20(1), pp. 106-119, 1978.
11. L. Tsang, C. H. Chan, H. Sangani, A. Ishimaru, and P. Phu, "A banded matrix iterative approach to monte carlo simulations of large-scale random rough-surface scattering," J. Electromagn. Waves Appl., vol. 7(9), pp. 1185-1200, 1993.
12. A. D. Yaghjian, "Banded-matrix preconditioning for electric-field integral equations," IEEE APS Int. Symp. Dig., pp. 1806-1809, 1997, Montreal, Canada.
13. P. Werner, "On the exterior boundary value problem of perfect reflection for stationary electromagnetic waves," J. Math. Anal? Appl., vol. 7, pp. 348-396, 1963.
14. O. J. Panich, "On the question of solvability of the exterior boundary-value problems for the wave equation and maxwell's equation," Russian Math. Surveys, vol. 20, pp. 221-226, 1965
15. K. M. Mitzner, "Numerical solution of the exterior scattering problem at the eigenfrequencies of the interior problem," URSI Meeting Digest, p. 76, 1968.
16. J. R. Mautz and R. F. Harrington, "H-field, e-fietd, and combined field solutions for conducting bodies of revolution," Arch. Elektron. Übertragung. (AEÜ), vol 32(4), pp. 159-164, 1978.
17. W. C. Chew, Waves and Fields in Inhomogeneous Media. Piscataway, NJ: IEEE press, 1995.
18. C. Lanczos, Applied Analysis. Prentice Hall, 1956.
19. R. W. Fveund., "A transpose-free quasi-mininial residual algorithm for non-hermitian linear systems," SIAM J. Sei. Comput., vol. 14, pp. 470-482, 1993.