Development of the three-dimensional unconditionally stable LOD-FDTD method

I Ahmed, EK Chua, EP Li, Z Chen - IEEE Transactions on …, 2008 - ieeexplore.ieee.org
I Ahmed, EK Chua, EP Li, Z Chen
IEEE Transactions on antennas and propagation, 2008ieeexplore.ieee.org
A three-dimensional unconditionally-stable locally-one-dimensional finite-difference time-
domain (LOD-FDTD) method is proposed and is proved unconditionally stable analytically.
In it, the number of equations to be computed is the same as that with the conventional three-
dimensional alternating direction implicit FDTD (ADI-FDTD) but with reduced arithmetic
operations. The reduction in arithmetic operations leads to approximately 20% less
computational time in comparisons with the ADI-FDTD method.
A three-dimensional unconditionally-stable locally-one-dimensional finite-difference time-domain (LOD-FDTD) method is proposed and is proved unconditionally stable analytically. In it, the number of equations to be computed is the same as that with the conventional three-dimensional alternating direction implicit FDTD (ADI-FDTD) but with reduced arithmetic operations. The reduction in arithmetic operations leads to approximately 20% less computational time in comparisons with the ADI-FDTD method.
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