3 papers
cs.CE2017
A Dissipation Theory for Three-Dimensional FDTD with Application to Stability Analysis and Subgridding
Fadime Bekmambetova, Xinyue Zhang, Piero Triverio
The finite-difference time-domain (FDTD) algorithm is a popular numerical method for solving electromagnetic problems. FDTD simulations can suffer from instability due to the expli…
cs.CE2016
A Stable FDTD Method with Embedded Reduced-Order Models
Xinyue Zhang, Fadime Bekmambetova, Piero Triverio
The computational efficiency of the Finite-Difference Time-Domain (FDTD) method can be significantly reduced by the presence of complex objects with fine features. Small geometrica…
cs.CE2016
A Dissipative Systems Theory for FDTD with Application to Stability Analysis and Subgridding
Fadime Bekmambetova, Xinyue Zhang, Piero Triverio
This paper establishes a far-reaching connection between the Finite-Difference Time-Domain method (FDTD) and the theory of dissipative systems. The FDTD equations for a rectangular…