Axisymmetric Electromagnetic Resonant Cavity Solution by a Meshless Local Petrov-Galerkin Method
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Axisymmetric Electromagnetic Resonant Cavity Solution by a Meshless Local Petrov-Galerkin MethodAbstract
This work describes a meshless approach to obtain resonant frequencies and field distributions in axisymmetric electromagnetic cavities. The meshless local Petrov-Galerkin is used with shape functions generated by moving least squares. Boundary conditions are imposed by a collocation method that does not require integrations. The proposed analysis has simple implementation and reduced computational effort. Results for TE and TM modes of cylindrical and spherical cavities are presented and compared with analytical solutions.
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References
A. Taflove and S. C. Hagness, Computational
Electrodynamics: The Finite-Difference TimeDomain Method, 3rd ed. Norwood, MA: Artech
House, 2005.
G. Liu, Mesh Free Methods: Moving Beyond the
Finite Element Method, CRC Press, 2nd Edition
G. Ala, E. Francomano, A. Tortorici, E. Toscano,
and F. Viola, “A Smoothed Particle Interpolation
SOARES, MESQUITA, MOREIRA: AXISYMMETRIC EM RESONANT CAVITY SOLUTION BY PETROV-GALERKIN METHOD 798
Scheme for Transient Electromagnetic
Simulation,” IEEE Trans. Magnetics, vol. 42, no.
, pp. 647-650, 2006.
P. Jiang, S. Li, and C. Chan, “Analysis of Elliptical
Waveguides by a Meshless Collocation Method
with Wendland Radial Basis Functions,”
Microwave and Optical Technology Letters, vol.
, no. 2, 2002.
T. Kaufmann, C. Fumeaus, C. Engstrom, and R.
Vahldieck, “Meshless Eigenvalue Analysis for
Resonant Structures Based on the Radial Point
Interpolation Method,” APMC 2009 Asia Pacific,
pp. 818-821, 2009.
R. K. Gordon and W. E. Hutchcraft, “The Use of
Multiquadric Radial Basis Functions in Open
Region Problems,” Applied Computational
Electromagnetic Society (ACES) Journal, vol. 21,
no. 2, pp. 127–134, July 2006.
A. Manzin and O. Bottauscio, “Element-Free
Galerkin Method for the Analysis of
Electromagnetic-Wave Scattering,” IEEE Trans.
Magnetics, vol. 44, no. 6, pp. 1366-1369, 2008.
B. Correa, E. Silva, A. Fonseca, D. Oliveira, and R.
Mesquita, “Meshless Local Petrov-Galerkin in
Solving Microwave Guide Problems,” IEEE Trans.
Magnetics, vol. 47, p. 1526-1529, 2011.
W. Nicomendes, R. Mesquita, and F. Moreira, “A
Meshless Local Petrov-Galerkin Method for ThreeDimensional Scalar Problems,” IEEE Trans.
Magnetics, vol. 47, pp. 1214-1217, 2011.
A. Peterson, S. Ray, and R. Mittra, Computational
Methods for Electromagnetics, IEEE Press, 1998,
Sect. 8.8.
Q. Li, S. Shen, Z. Han, and S. Atluri, “Application
of Meshless Local Petrov-Galerkin (MLPG) to
Problems with Singularities, and Material
Discontinuities, in 3-D Elasticity,” CMES, vol. 4,
no. 5, pp. 571-585, 2003.
R. F. Harrington, Time-Harmonic Electromagnetic
Fields; McGraw-Hill, New York, 1961.
