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Finite-difference time-domain diakoptic strategies
CEM'11 Computational Electromagnetics International Workshop, 2011In 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. We present three main diakoptic strategies, as described below.
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Implicit nonstaggered finite‐difference time‐domain method
Microwave and Optical Technology Letters, 2005AbstractA new, unconditionally stable, implicit nonstaggered finite‐difference time‐domain (INS‐FDTD) method is introduced. This method is more efficient than the (unconditionally stable) finite‐element time‐domain (FETD) method with brick elements because the number of nonzero elements in the system matrix is reduced.
Shumin Wang +2 more
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The Finite Difference Time Domain (FDTD) Method
2002This chapter is an overview of the numerical method used to model the devices presented in this work.
Christina Manolatou, Hermann A. Haus
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The symplectic finite difference time domain method
IEEE Transactions on Magnetics, 2001A new method for solving Maxwell equations in the time domain, called the symplectic FDTD method, is formulated, discretized, implemented, and verified. This method preserves the symplecticness (preservation of area in the phase space, i.e., preservation of energy or helicity), improves the accuracy of the solution to the high frequency problem, and ...
I. Saitoh, Y. Suzuki, N. Takahashi
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Time-domain finite-difference beam propagation method
IEEE Photonics Technology Letters, 1999A new technique to model the behavior of pulsed optical beams in waveguides is proposed and analyzed. The technique is an extension of the traditional continuous-wave beam propagation method (BPNI) to include time dependence, therefore called the time-domain BPM (TD-BPM). The method was tested using different waveguide examples and it is concluded that
Masoudi, H.M. +2 more
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Finite-Difference Time-Domain Methods for Electrodynamics
2020The FDTD method belongs in the general class of grid-based differential numerical modeling methods (finite-difference methods). The time-dependent Maxwell’s equations (in partial differential form) are discretized using central-difference approximations to the space and time partial derivatives.
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