On the Stability of Evolution Galerkin Schemes Applied to a Two-Dimensional Wave Equation System

  • Authors:
  • M. Lukácová-Medvidová;G. Warnecke;Y. Zahaykah

  • Affiliations:
  • -;-;-

  • Venue:
  • SIAM Journal on Numerical Analysis
  • Year:
  • 2006

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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.