Title :
Stability condition for the explicit algorithms of the time domain analysis of Maxwell´s equations
Author :
Mrozowski, Michal
Author_Institution :
Dept. of Electron., Tech. Univ. Gdansk, Poland
Abstract :
This letter presents the derivation of the stability condition for various types of time domain algorithms used in the solution of linear hyperbolic differential equations that arise in the investigation of transient electromagnetic fields. The stability condition of the algorithm is derived by investigating the properties of operators in suitably defined Hilbert spaces. Compared to the classical von Neumann stability analysis, the functional analysis approach gives more general results that can be easily applied to some recent and possible future time domain schemes.<>
Keywords :
Maxwell equations; differential equations; electromagnetic field theory; electromagnetic fields; functional analysis; hyperbolic equations; stability; time-domain analysis; Hilbert spaces; Maxwell´s equations; classical von Neumann stability analysis; explicit algorithms; functional analysis approach; linear hyperbolic differential equations; stability condition; time domain algorithms; time domain analysis; time domain schemes; transient electromagnetic fields; Differential equations; Electromagnetic fields; Finite difference methods; Functional analysis; Laplace equations; Maxwell equations; Power system transients; Stability analysis; Time domain analysis; Transmission line matrix methods;
Journal_Title :
Microwave and Guided Wave Letters, IEEE
