MIXED ELEMENT FORMULATION FOR THE FINITE ELEMENT-BOUNDARY INTEGRAL METHOD
Keywords:
MIXED ELEMENT FORMULATION FOR THE FINITE ELEMENT-BOUNDARY INTEGRAL METHODAbstract
A mixed element approach using right hexahedral elements and right prism elements for the finite element-boundary integral method is presented and discussed for the study of planar cavity-backed antennas. The mixed element method is shown to decrease the required computation time for geometrically constrained geometries by reducing the unknown count on the open aperture on the cavity. By reducing the unknown count on the surface, the memory and computational cost associated with the boundary integral portion of the solution is decreased versus solutions using only prism elements. The accuracy of the mixed element approach is shown to be comparable with that of a single element approach, especially for far field parameters such as radiation pattern and radar cross section.
Downloads
References
H. Nakano, K. Hirose, I. Ohshima, and J.
Yamauchi, “An integral equation and its
application to spiral antennas on semiinfinite dielectric materials,” IEEE
Transactions on Antennas and
Propagation, 47, p. 267-274, Feb. 1998.
W.C. Chew, J.M. Jin, E. Michielssen,
and J.M. Song, Fast and Efficient
Algorithms in Computational
Electromagnetics, Artech House, 2001.
J.L. Volakis, A. Chatterjee, L.C. Kempel.
Finite Element Method for
Electromagnetics. IEEE Press, New
York, 1998.
J.M. Jin. The Finite Element Method in
Electromagnetics. John Wiley and Sons
Inc, 1993.
J. Gong, J.L. Volakis, A. Woo, and H.T.
Wang, “A hybrid finite elementboundary integral method for the
analysis of cavity-backed antennas of
arbitrary shape,” IEEE Transactions on
Antennas and Propagation, 42, p. 1233-
, Sept. 1994.
L.C. Kempel and J.L. Volakis,
“Scattering by cavity-backed antennas on
a circular cylinder,” IEEE Trans.
MEESE, KEMPEL, SCHNEIDER: MIXED ELEMENT FORUMLATION FOR FINITE ELEMENT-BOUNDARY 61
Antennas Propagation., 42, pp. 1268-
, Sept. 1994.
L.C. Kempel, J.L. Volakis, and R.J.
Sliva, “Radiation by cavity-backed
antennas on circular cylinder,” IEE
Proc.-Microw. Antennas Propag., 142,
pp. 233-239, June 1995.
X-Q Sheng, J-M Jin, J. Song, C-C Lu,
and W.C. Chew, “On the formulation of
hybrid finite-element and boundaryintegral methods for 3-D scattering,”
IEEE Transactions on Antennas and
Propagation, 46, p. 303-311, March.
C.A. Macon, L.C. Kempel, and S.W.
Schneider, “Radiation and Scattering by
Complex Conformal Antennas on a
Circular Cylinder,” Adv. Comp. Math.,
, pp. 191-209, 2002.
F. Bilotti, A. Toscano, and L. Vegni,
“FEM-BEM formulation for the analysis
of cavity-backed patch antennas on chiral
substrates,” IEEE Transactions on
Antennas and Propagations, 51, pp.
-1836, August 2003.
C-W Wu, L.C. Kempel, and E.J.
Rothwell, “Hybrid Finite ElementBoundary Integral Method for Cavities
Recessed in an Elliptic Cylinder,” IEEE
Transactions on Antennas and
Propagations, 51, pp. 306-311, Feb.
C.A. Macon, L.C. Kempel, S.W.
Schneider, and K.D. Trott, “Modeling
Conformal Antennas on Metallic Prolate
Spheroid Surfaces Using a Hybrid Finite
Element Method,” IEEE Transactions on
Antennas and Propagations, 52, pp. 750-
, March 2004.
K.K. Mei, “Unimoment method of
solving antenna and scattering
problems,” IEEE Transactions on
Antennas and Propagations, 22, p. 760-
, Nov. 1974.
J. Liu and J.M. Jin, “A novel
hybridization of higher order finite
element and boundary integral methods
for electromagnetic scattering and
radiation problems, IEEE Transactions
on Antennas and Propagations, 49, p.
-1806, Dec. 2001.
G.E. Antilla, Radiation and Scattering
from Complex Three-Dimensional
Geometries using a Curvilinear Hybrid
Finite Element-Integral Equation
Approach, Ph.D. Dissertation, University
of California at Los Angeles, 1993.
L.C. Kempel, "Implementation of
Various Hybrid Finite ElementBoundary Integral Methods: Bricks,
Prisms, and Tets," 1999 ACES Meeting,
Monterey, CA, pp. 242-249, 1999.
C-T Tai, Dyadic Green Functions in
Electromagnetic Theory, 2nd ed.,
Piscataway, NJ: IEEE Press, 1994.
A.F. Peterson, S.L. Ray, R.Mittra.
Computational Methods for
Electromagnetics. IEEE Press, New
York, 1998.
S.M. Rao, D.R. Wilton, A.W. Glisson.
“Electromagnetic Scattering by Surfaces
of Arbitrary Shape”, IEEE Transactions
on Antennas and Propagations, 30, pp.
-418, May 1982.
T. Ozdemir and J.L. Volakis, “Triangular
prisms for edge-based vector finite
element analysis of conformal antennas
IEEE Transactions on Antennas and
Propagations, 45, p. 788-797, May 1997


