Bilgic, Winfried; Wolff, Ingo; Erni, Daniel:

Energy-based stability criterion for the finite-difference time-domain method

In: 2008 Asia Pacific Microwave Conference : APMC 2008 ; Hong Kong [and Macau], 16 - 20 December 2008
Piscataway, NJ: IEEE (2008)
ISBN: 978-1-4244-2642-3, 978-1-4244-2641-6
Buchaufsatz / Kapitel / Fach: Elektrotechnik
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.