Error analysis of 2-D MoM for MFIE/EFIE/CFIE based on the circular cylinder

IEEE Transactions on Antennas and Propagation

Volumn 53, Issue 1 II, 2005, Pages 321-331

  Davis, Clayton P ^a   Warnick, Karl F ^a  

^a BRIGHAM YOUNG UNIVERSITY   (United States)

Author keywords

Boundary integral equations; Electromagnetic scattering; Error analysis; Method of moments (MoM); Numerical analysis

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL GEOMETRY; CONVERGENCE OF NUMERICAL METHODS; ELECTROMAGNETIC WAVE POLARIZATION; ERROR ANALYSIS; GALERKIN METHODS; INTEGRAL EQUATIONS; MATRIX ALGEBRA; METHOD OF MOMENTS;

BOUNDARY INTEGRAL EQUATIONS; COMBINED FIELD INTEGRAL EQUATION; ELECTRIC FIELD INTEGRAL EQUATION; MAGNETIC FIELD INTEGRAL EQUATION; TRANSVERSE MAGNETIC MODE;

ELECTROMAGNETIC WAVE SCATTERING;

EID: 11944260456     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAP.2004.838791     Document Type: Article

References (23)

1. M. Feistauer, G. C. Hsiao, and R. E. Kleinman, "Asymptotic and a posteriori error estimates for boundary element solutions of hypersingular integral equations," SIAM J. Numer. Anal., vol. 33, pp. 666-685, Apr. 1996.
2. M. Costabel and E. P. Stephan, "A direct boundary integral equation method for transmission problems," J. Math. Anal. Appl., vol. 106, pp. 367-413, 1985.
3. M. Maischak, P. Mund, and E. P. Stephan, "Adaptive multilevel BEM for acoustic scattering," Comp. Meth. Appl. Mech. Eng., vol. 150, pp. 351-367, 1997.
4. E. P. Stephan, "Boundary integral-equations for screen problems in IR-3," Integ. Equations Operator Theory, vol. 10, pp. 236-257, 1987.
5. p -version of the boundary element method for Helmholtz screen problems," Computing vol. 57, pp. 105-134, 1996.
6. E. F. Kuester, "Computable error bounds for variational functionals of solutions of a convolution integral equations of the first kind," Wave Motion, vol. 22, pp. 171-185, 1995.
7. J. V. Toporkov, R. T. Marchand, and G. S. Brown, "On the discretization of the integral equation describing scattering by rough conducting surfaces," IEEE Trans. Antennas Propag., vol. 46, pp. 150-161, Jan. 1998.
8. S. Amini and S. Kirkup, "Solution of Helmholtz equation in the exterior domain by elementary boundary integral methods," J. Comp. Phys., vol. 118, pp. 208-221, 1995.
9. G. C. Hsiao and R. E. Kleinman, "Mathematical foundations for error estimation in numerical solutions of integral equations in electromagnetics," IEEE Trans. Antennas Propag., vol. 45, pp. 316-328, Mar. 1997.
10. K. F. Warnick and W. C. Chew, "Error analysis of surface integral equation methods," in Fast and Efficient Algorithms in Computational Electromagnetics, W. C. Chew, J. Jin, E. Michielssen, and J. Song, Eds. Boston, MA: Artech House, 2001, pp. 203-282.
11. K. F. Warnick, and W. C. Chew, "Error analysis of the moment method," IEEE Antennas Propag. Mag., to be published.
12. K. F. Warnick, and W. C. Chew, "Accuracy of the method of moments for scattering by a cylinder," IEEE Trans. Microwave Theory Tech., vol. 48, pp. 1652-1660, Oct. 2000.
13. I. Mautz, "Variational aspects of the reaction in the method of moments," IEEE Trans. Antennas Propag., vol. 42, pp. 1631-1638, Dec. 1994.
14. A. F. Peterson, D. R. Wilton, and R. E. Jorgenson, "Variational nature of Galerkin and non-Galerkin moment method solutions," IEEE Trans. Antennas Propag., vol. 44, pp. 500-503, Apr. 1996.
15. D. G. Dudley, "Comments on 'variational nature of Galerkin and non-Galerkin moment method solutions," IEEE Trans. Antennas Propag. vol. 45, Jun. 1997.
16. J. J. Bowman, T. B. A. Senior, and P. L. E. Uslenghi, Electromagnetic and Acoustic Scattering by Simple Shapes. New York: Hemisphere, 1987.
17. K. F. Warnick and W. C. Chew, "On the spectrum of the electric field integral equation and the convergence of the moment method," Int. J. Numer. Meth. Eng., vol. 51, pp. 31-56, May 2001.
18. S. Wandzura, "Accuracy in computation of matrix elements of singular kernels," in 11th Annu. Rev. Progress Applied Computational Electromagnetics. Monterey, CA: Naval Postgraduate School, 1995, vol. II, pp. 1170-1176.
19. A. Helaly and H. M. Fahmy, "Combined-field integral equation," Electron. Lett., vol. 29, pp. 1678-1679, Sep. 1993.
20. F. K. Oshiro et al., "Calculation of radar cross section," Air Force Avionics Laboratory, Tech. Rep. AFAL-Tr-70-21, pt. II, 1970.
21. R. Kress, "Minimizing the condition number of boundary integral operators in acoustic and electromagnetic scattering," Q. J. Mech. Appl. Math., vol. 38, no. 2, pp. 323-341, 1985.
22. J. H. Richmond, "On the variational aspects of the moment method [electromagnetcs]," IEEE Trans. Antennas Propag., vol. 39, pp. 473-479, Apr. 1991.
23. M. I. Aksun and R. Mittra, "Choices of expansion and testing functions for the method of moments applied to a class of electromagnetic problems," IEEE Trans. Microwave Theory Tech., vol. 41, pp. 503-509, Mar. 1993.