A Comparative Study of Expansion Functions Using the Boundary Residual Method on a Linear Dipole - Part II: Sub-Domain Functions
关键词:
A Comparative Study of Expansion Functions Using the Boundary Residual Method on a Linear Dipole - Part II: Sub-Domain Functions摘要
The Boundary Residual Method is used to compare the performance of a range of sub-domain expansion functions in three different settings. It is found that as the complexity of the structure/system being studied increases the importance of the order of the expansion function decreases - at least for uniform excitation. These results point out the need for more research into the behaviour and performance of these, and other, expansion functions.
##plugins.generic.usageStats.downloads##
参考
M. M. Bibby, “A Comparative Study of
Expansion Functions Using the Boundary
Residual Method – Part I: Entire-Domain
Functions”, Journal of the Applied
Computational Electromagnetics Society, this
issue, 2002.
C. M. Butler & D. R. Wilton, “Analysis of
Various Numerical Techniques Applied to Thin
Wire Scatterers”, IEEE Trans. on Ant. & Prop.,
pp.534-540, July, 1975.
K. J. Bunch & R. W. Grow, “Numeric Aspects
of the Boundary Residual Method”, Int. J. of
Numerical Modeling: Electronic Networks, Vol.
, pp.57-71, 1990.
K. J. Bunch & R. W. Grow, “On the
Convergence of the Method Moments, the
Boundary Residual Method, and the Point-
Matching Method with a Rigorously
Convergent Formulation of the Point-Matching
BIBBY: EXPANSION FUNCTIONS USING THE BOUNDARY RESIDUAL METHOD - PART II: SUB-DOMAIN FUNCTIONS
Method”, Journal of the Applied Computational
Society, Vol. 8, No 2, 1993, pp. 188-202
G. H. Golub & C. F. Van Loan, Matrix
Computations, The Johns Hopkins Univeristy
Press, 1989
C. L. Lawson & R. J. Hanson, Solving Least-
Squares Problems, Prentice-Hall Inc., 1974
LAPACK 3.0, available from
www.netlib.org/toms/
C. de Boor, A Practical Guide to Splines,
Springer-Verlag, 1978
H. Ikuno & K. Yasuura, “Improved Point-
Matching Method with Application to
Scattering from a Periodic Surface”, IEEE
Trans. on Ant. & Prop., AP-21, 657-662, 1973
J. Meixner, “The behavior of Electromagnetic
Fields at Edges”, IEEE Trans on Ant. & Prop.,
Vol. 20, No 4, pp.442-446, 1972
I. J. Schoenberg, “Contributions to the
Problem of Approximation of Equidistant Data
by Analytic Functions”, Quart. Appl. Math.,
Vol. 4, 45-99, 112-141, 1946
J. H. Ahlberg, E. N. Nilson & J. L. Walsh, The
Theory of Splines and Their Applications,
Academic Press, 1967
J. B. Davies, “A Least-Squares Boundary
Residual Method for the Numerical Solution of
Scattering Problems”, IEEE Trans. M. T. & T.,
Vol. 21, No 2, pp.99-104, Feb. 1973
U. Mahr, “Cubic Splines as Expansion
Functions for the Current Distribution of
Microstrip Stub Antennas”, IEEE Trans. on
Ant. & Prop. AP-30, No 9, pp.1033-1036,
Sept. 1985
R. F. Harrington, Time-Harmonic
Electromagnetic Fields, McGraw-Hill, 1961
L. L. Tsai, “A Numerical Solution for the Near
and Far Fields of an Annular Ring of Magnetic
Current”, IEEE Trans. of Ant. & Prop., Vol. 20,
No 5, pp.569-576, Sept., 1972


