Title :
On the stability of time-marching schemes for the general surface electric-field integral equation
Author :
Davies, Penny J.
Author_Institution :
Dept. of Math. & Comput. Sci., Dundee Univ., UK
fDate :
11/1/1996 12:00:00 AM
Abstract :
We demonstrate that time marching algorithms which use the electric-field integral equation to compute the current induced on a perfect conductor by a transient electric field, may have unstable modes that are due to the particular basis functions used to represent the current on the conductor. These modes are not removed by averaging the solution in time, but they can be eliminated by averaging in space appropriately
Keywords :
conductors (electric); electric fields; electromagnetic induction; integral equations; numerical stability; basis functions; induced current; perfect conductor; space average algorithm; stability; surface electric-field integral equation; time averaged algorithm; time marching algorithms; transient electric field; unstable modes; Boundary conditions; Conductors; Differential equations; Geometry; Helium; Integral equations; Partial differential equations; Piecewise linear approximation; Piecewise linear techniques; Stability analysis;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
