Zurück zu den Preprints des Jahres 2004


2004-03

On stability of the evolution Galerkin schemes applied to a two-dimensional wave equation system

by Lukacova-Medvidova, M., Warnecke, G., Zahaykah, Y..


Series: 2004-03, Preprints

MSC:
35L05 Wave equation
65M06 Finite difference methods
35L45 Initial value problems for first-order hyperbolic systems
35L65 Conservation laws
65M25 Method of characteristics
42B10 Fourier and ~Fourier-Stieltjes transforms and other transforms of Fourier type
65M12 Stability and convergence of numerical methods

Abstract:
The subject of the paper is the analysis of stability of the evolution Galerkin (EG) methods
for the two-dimensional wave equation system. We apply von Neumann analysis and use
the Fourier transformation to estimate the stability limits of both the first and the second
order EG methods.

Keywords:
hyberbolic systems, wave equation, evolution Galerkin schemes, discrete Fourier transformation, amplification matrix, CFL condition.