On some time marching schemes for the stabilized finite element approximation of the mixed wave equation

Hector Espinoza, Ramon Codina, Santiago Badia

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4 Citations (Scopus)


In this paper we analyze time marching schemes for the wave equation in mixed form. The problem is discretized in space using stabilized finite elements. On the one hand, stability and convergence analyses of the fully discrete numerical schemes are presented using different time integration schemes and appropriate functional settings. On the other hand, we use Fourier techniques (also known as von Neumann analysis) in order to analyze stability, dispersion and dissipation. Numerical convergence tests are presented for various time integration schemes, polynomial interpolations (for the spatial discretization), stabilization methods, and variational forms. To analyze the behavior of the different schemes considered, a 1D wave propagation problem is solved.

Original languageEnglish
Pages (from-to)295-326
Number of pages32
JournalComputer Methods in Applied Mechanics and Engineering
Publication statusPublished - 1 Nov 2015
Externally publishedYes


  • Dispersion
  • Dissipation
  • Fourier analysis
  • Mixed wave equation
  • Time marching schemes
  • Von Neumann analysis

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