Title :
Energy-based stability criterion for the finite-difference time-domain method
Author :
Bilgic, Winfried ; Wolff, Ingo ; Erni, Daniel
Author_Institution :
Fac. of Eng., Univ. of Duisburg-Essen, Duisburg
Abstract :
This paper presents an energy-based stability analysis for the classical FDTD scheme using Lyapunov functions. Following a short introduction on the Lyapunov functions, the application of the discrete counterpart is used to derive the well-known stability criterion for the FDTD method. Lossy or anisotropic (i.e. biaxial symmetry) media are seamless integrable into the derivation.
Keywords :
circuit stability; finite difference time-domain analysis; microwave circuits; Lyapunov functions; discrete counterpart; energy based stability criterion; finite difference time-domain method; Anisotropic magnetoresistance; Dispersion; Finite difference methods; Integral equations; Lyapunov method; Maxwell equations; Power engineering and energy; Stability analysis; Stability criteria; Time domain analysis;
Conference_Titel :
Microwave Conference, 2008. APMC 2008. Asia-Pacific
Conference_Location :
Macau
Print_ISBN :
978-1-4244-2641-6
Electronic_ISBN :
978-1-4244-2642-3
DOI :
10.1109/APMC.2008.4958495
