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A central least-squares spatial derivative procedure is developed. It provides simple formulas, similar to finite differences, to approximate spatial derivatives. In addition, a least-squares finite-difference time-domain (LS-FDTD) method is formulated… Click to show full abstract
A central least-squares spatial derivative procedure is developed. It provides simple formulas, similar to finite differences, to approximate spatial derivatives. In addition, a least-squares finite-difference time-domain (LS-FDTD) method is formulated for attenuating high-frequency nonphysical modes, superimposed to physical solution, produced by Yee’s space discretization when the time step is larger than Courant–Friedrichs–Lewy (CFL) limit. The proposed method is successfully validated by solving 1-D and 2-D problems with time steps beyond the FDTD CFL limit. Accuracy and stability conditions are analytically obtained for LS-FDTD.
Journal Title: IEEE Transactions on Antennas and Propagation
Year Published: 2021
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