Title :
Start vector generation for implicit Newmark time integration of the wave equation
Author :
Skarlatos, Anastassios ; Clemens, Markus ; Weiland, Thomas
Author_Institution :
Inst. fur Theorie Elektromagnetischer Felder, Tech. Univ. Darmstadt
fDate :
4/1/2006 12:00:00 AM
Abstract :
Different extrapolation strategies are presented for the construction of starting values in implicit Newmark time-stepping schemes used for the solution of the electromagnetic wave equation. The implicit character of this schemes implies the solution of a system of linear equations in each time step. The choice of a good start value derived from the extrapolation of the equation system is shown to improve the convergence of the iterative conjugate gradient solver which reduces the total simulation time
Keywords :
conjugate gradient methods; electromagnetic wave propagation; time-domain analysis; vectors; electromagnetic wave equation; electromagnetic wave propagation; equation system extrapolation; implicit Newmark time integration; iterative conjugate gradient solver; linear equation system; numerical algorithms; start vector generation; time-domain methods; Computational electromagnetics; Differential equations; Electromagnetic scattering; Extrapolation; Iterative algorithms; Maxwell equations; Partial differential equations; Taylor series; Time domain analysis; Vectors; Electromagnetic wave propagation; numerical algorithms; time-domain methods;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2006.872008
