Stabilité sous condition CFL non linéaire

Deriaz, Erwan, and Kolomenskiy, Dmitry. Denis Poisson, Fédération, and Trélat, E., eds. " Stabilité sous condition CFL non linéaire ." ESAIM: Proceedings 35 (2012): 114-121. <http://eudml.org/doc/251275>.

@article{Deriaz2012,
abstract = {We present a basic althought little known numerical stability condition: for convection equations, the von Neumann stability constraint ∥un + 1∥L2 ≤ (1 + C   Δt) ∥un∥L2 drives to the stability condition Δt ≤ CΔxα with \hbox\{$\alpha=\frac\{p(2q-1)\}\{q(2p-1)\}$\} where p is an integer linked to the stability domain of the time scheme and q ≥ p an integer linked to the upwind property of the space discretization (in the centered case we have q =  +∞ and \hbox\{$\alpha=\frac\{2p\}\{2p-1\}$\}).},
author = {Deriaz, Erwan, Kolomenskiy, Dmitry},
editor = {Denis Poisson, Fédération, Trélat, E.},
journal = {ESAIM: Proceedings},
language = {eng},
month = {4},
pages = {114-121},
publisher = {EDP Sciences},
title = { Stabilité sous condition CFL non linéaire },
url = {http://eudml.org/doc/251275},
volume = {35},
year = {2012},
}

TY - JOUR
AU - Deriaz, Erwan
AU - Kolomenskiy, Dmitry
AU - Denis Poisson, Fédération
AU - Trélat, E.
TI - Stabilité sous condition CFL non linéaire
JO - ESAIM: Proceedings
DA - 2012/4//
PB - EDP Sciences
VL - 35
SP - 114
EP - 121
AB - We present a basic althought little known numerical stability condition: for convection equations, the von Neumann stability constraint ∥un + 1∥L2 ≤ (1 + C   Δt) ∥un∥L2 drives to the stability condition Δt ≤ CΔxα with \hbox{$\alpha=\frac{p(2q-1)}{q(2p-1)}$} where p is an integer linked to the stability domain of the time scheme and q ≥ p an integer linked to the upwind property of the space discretization (in the centered case we have q =  +∞ and \hbox{$\alpha=\frac{2p}{2p-1}$}).
LA - eng
UR - http://eudml.org/doc/251275
ER -