Title :
A Multigrid Algorithm for the Transfinite-Element Time-Domain Method Using the
-Formulation
Author :
Weiss, Benjamin ; Biro, O. ; Caldera, P. ; Hollaus, K. ; Paoli, G. ; Preis, K. ; Stockreiter, C.
Author_Institution :
IGTE, Technical University of Graz
fDate :
4/1/2007 12:00:00 AM
Abstract :
The transfinite-element time-domain method using the A,V-formulation for analyzing printed circuit boards is presented in this paper. To solve the resulting system of equations, a multigrid algorithm is implemented. The standard prolongation operator has to be altered to fit the transfinite elements and a new method for constructing the hierarchy of grids is presented. Numerical examples will show the properties of this method
Keywords :
differential equations; finite element analysis; network analysis; printed circuits; time-domain analysis; grid hierarchy; multigrid algorithm; printed circuit board; prolongation operator; transfinite-element time-domain method; Circuit analysis; Current density; Electromagnetic fields; Electromagnetic waveguides; Equations; Finite element methods; Frequency; Microelectronics; Printed circuits; Time domain analysis; Edge elements; microwaves; multigrid; solution of algebraic systems of equations;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2007.892421