Finite Difference Time Domain Diakoptic Strategies
Keywords:
Finite Difference Time Domain Diakoptic StrategiesAbstract
In many applications, it may be advisable to “tear apart” the computational domain into several sub-domains separated by “seams,” each one treated separately. The sub-domains are then sewn back together at appropriate stages of the computation. Three main diakoptic strategies have been developed in the recent past. Out of these, the diakoptics on-the-fly strategy can serve the purpose of parallelizing a FDTD process over several processors, each of which being responsible for the treatment of a certain sub-domain, as presented below.
Downloads
References
Z. G. Qian, W. C. Chew, and R. Suaya, “Generalized
Impedance Boundary Condition for Conductor Model-
ing in Surface Integral Equation,” IEEE Trans. Mi-
crowave Theory Tech., vol. 55, no. 11, pp. 2354–2364,
Nov. 2007.
V. K. Kollia and A. C. Cangellaris, “A Domain Decom-
position Approach for Efficient Electromagnetic Analysis
of the Power Distribution Network of Packaged Electron-
ics Systems,” IEEE Trans. Electromagnetic Comp.,
vol. 52, no. 2, pp. 320—331, May 2010.
A. Boag, U. Shemer, and R. Kastner, “Hybrid Absorb-
ing Boundary Conditions Based on Fast Non-Uniform
Grid Integration for Non-Convex Scatterers,” Microwave
Opt. Tech. Letters, vol. 43, 2, pp. 102–106, Oct. 20,
B Carpentieri, “An Adaptive Approximate Inverse-Based
Preconditioner Combined with the Fast Multipole Method
for Solving Dense Linear Systems in Electromagnetic
Scattering,” Applied Computational Electromagnetic
Society Journal, vol. 24, no. 5, pp. 504-510, Octo-
ber 2009.
T. Vaupel, “A Fast Spectral Domain Solver for the Char-
acterization of Larger Microwave Structures in Multilay-
ered Environments,” Applied Computational Electro-
magnetic Society Journal, vol. 24, no. 5, pp. 493-503,
Oct. 2009.
R. Holtzman and R. Kastner, “The Time–Domain Dis-
crete Green’s Function Method (GFM) Characterizing the
FDTD Grid Boundary,” IEEE Trans. on Antennas and
Propagation, vol. 49, no. 7, pp. 1079–1093, July 2001.
R. Holtzman, R. Kastner, E. Heyman and R. W. Zi-
olkowski, “Stability Analysis of the Green’s Function
Method (GFM) Used as an ABC for Arbitrarily-Shaped
Boundaries,” IEEE Trans. on Antennas and Propa-
gation, vol. 50, pp. 1017–1029, July 2002.
S. Malevsky, E. Heyman, and R. Kastner, “Source De-
composition as a Diakoptic Boundary Condition in FDTD
with Reflecting External Regions,” IEEE Trans. An-
tennas Propagat., vol. 58, no. 11, pp. 3602–3609,
Nov. 2010.
X. Wang, R. A. Wildman, D. S. Weile, and P. Monk,
“A Finite Difference Delay Modeling Approach to the
Discretization of the Time Domain Integral Equations of
Electromagnetics,” IEEE Trans. Antennas Propagat.,
Special Issue on Large and Multiscale Computational
Electromagnetics, vol. 56, no. 8, Part 1, pp. 2442–2452.
Aug. 2008.