REMARKS ON THE ASYMPTOTIC BEHAVIOR OF SCALAR AUXILIARY VARIABLE (SAV) SCHEMES - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year : 2019

REMARKS ON THE ASYMPTOTIC BEHAVIOR OF SCALAR AUXILIARY VARIABLE (SAV) SCHEMES

Anass Bouchriti
  • Function : Author
Nour Eddine Alaa
  • Function : Author
  • PersonId : 835091

Abstract

We introduce a time semi-discretization of a damped wave equation by a SAV scheme with second order accuracy. The energy dissipation law is shown to hold without any restriction on the time step. We prove that any sequence generated by the scheme converges to a steady state (up to a subsequence). We notice that the steady state equation associated to the SAV scheme is a modified version of the steady state equation associated to the damped wave equation. We show that a similar result holds for a SAV fully discrete version of the Cahn-Hilliard equation and we compare numerically the two steady state equations.
Fichier principal
Vignette du fichier
SAV_Bouchriti_Pierre_Alaa.pdf (385.37 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-02354886 , version 1 (07-11-2019)

Identifiers

Cite

Anass Bouchriti, Morgan Pierre, Nour Eddine Alaa. REMARKS ON THE ASYMPTOTIC BEHAVIOR OF SCALAR AUXILIARY VARIABLE (SAV) SCHEMES. 2019. ⟨hal-02354886⟩
137 View
110 Download

Altmetric

Share

Gmail Facebook X LinkedIn More