Accuracy of currents produced by the locally-corrected Nystrom method and the method of moments when used with higher-order representations
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Accuracy of currents produced by the locally-corrected Nystrom method and the method of moments when used with higher-order representationsAbstract
The locally-corrected Nyström method is described, and the accuracy of the currents produced by it and the method of moments are compared. Results suggest that when the underlying representation has the same order, the methods are comparable in accuracy. Additional results are presented to illustrate the Nyström approach, and advantages and disadvantages of the method are reported.
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References
R. F. Harrington, Field Computation by
Moment Methods. New York: IEEE
Press, 1993.
E. J. Nyström, “Über die praktische
Auflösung von Integral-gleichungen mit
Anwendungen auf Randwertaufgaben,”
Acta Math., vol. 54, pp. 185-204, 1930.
K. E. Atkinson, A Survey of Numerical
Methods for the Solution of Fredholm
Integral Equations of the Second Kind.
Philadelphia: SIAM, 1976.
L. F. Canino, J. J. Ottusch, M. A. Stalzer,
J. L. Visher, and S. M. Wandzura,
“Numerical Solution of the Helmholtz
Equation in 2D and 3D Using a High-
Order Nyström Discretization,” J. Comp.
Physics, vol. 146, pp. 627-663, 1998.
G. Liu and S. Gedney, “High-order
Nyström solution of the VEFIE for TE-
Wave scattering,” Electromagnetics, vol.
, No. 1, pp. 1-14, 2001.
D. R. Wilton and C. M. Butler, "Effective
methods for solving integral and integro-
differential equations," Electromagnetics,
vol. 1, pp. 289-308, 1981.
ACES JOURNAL, VOL. 17, NO. 1, MARCH 2002, SI: APPROACHES TO BETTER ACCURACY/RESOLUTION IN CEM82
J. H. Ma, V. Rokhlin, and S. Wandzura,
“Generalized Gaussian quadrature rules
for systems of arbitrary functions,” SIAM
J. Numerical Analysis, vol. 33, pp. 971-
, June 1996.
J . S t r a i n , “ L o c a l l y c o r r e c t e d
multidimensional quadrature rules for
singular functions,” SIAM J. Scientific
Computing, vol. 16, pp.992-1017, 1995.
A. F. Peterson, D. R. Wilton, and R. E.
Jorgenson, “Variational nature of
Galerkin and non-Galerkin moment
method solutions,” IEEE Trans. Antennas
Propagat., vol. 44, pp. 500-503, April
R. F. Harrington, Time-harmonic
Electromagnetic Fields. New York:
McGraw-Hill, 1961, p. 235.
A. F. Peterson, S. L. Ray, and R. Mittra,
C o m p u t a t i o n a l M e t h o d s f o r
Electromagnetics. New York: IEEE
Press, 1998, Chapter 6.
