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

Volume

42

Issue

4

fYear

2006

fDate

4/1/2006 12:00:00 AM

Firstpage

631

Lastpage

634

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;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2006.872008

Filename

1608285