This paper presents a stabilization technique for approximating transport equations. The key idea consists in introducing an artificial diffusion based on a two-level decomposition of the approximation space. The technique is proved to have stability and convergence properties that are similar to that of the streamline diffusion method.
Bitte melden Sie sich an um selbst Rezensionen oder Kommentare zu erstellen.
Zitieren Sie diese Publikation
Mehr Zitationsstile
- bitte auswählen -
%0 Journal Article
%1 M2AN_1999__33_6_1293_0
%A Guermond, Jean-Luc
%D 1999
%I Dunod
%J ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
%K 35j25-bvps-2nd-order-elliptic-equations 65n12-pdes-bvps-stability-and-convergence-of-numerical-methods 76m10-finite-element-methods-in-fluid-mechanics 76r05-forced-convection
%N 6
%P 1293-1316
%T Stabilization of Galerkin approximations of transport equations by subgrid modeling
%U http://www.numdam.org/item/M2AN_1999__33_6_1293_0
%V 33
%X This paper presents a stabilization technique for approximating transport equations. The key idea consists in introducing an artificial diffusion based on a two-level decomposition of the approximation space. The technique is proved to have stability and convergence properties that are similar to that of the streamline diffusion method.
@article{M2AN_1999__33_6_1293_0,
abstract = {This paper presents a stabilization technique for approximating transport equations. The key idea consists in introducing an artificial diffusion based on a two-level decomposition of the approximation space. The technique is proved to have stability and convergence properties that are similar to that of the streamline diffusion method.},
added-at = {2019-05-16T03:15:41.000+0200},
author = {Guermond, Jean-Luc},
biburl = {https://www.bibsonomy.org/bibtex/21a7a9801893a8eee2db6393748956560/gdmcbain},
description = {https://zbmath.org/?q=an%3A0946.65112},
interhash = {4d55c481ffab1b8aa93b37d35066f5f6},
intrahash = {1a7a9801893a8eee2db6393748956560},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
keywords = {35j25-bvps-2nd-order-elliptic-equations 65n12-pdes-bvps-stability-and-convergence-of-numerical-methods 76m10-finite-element-methods-in-fluid-mechanics 76r05-forced-convection},
language = {en},
mrnumber = {1736900},
number = 6,
pages = {1293-1316},
publisher = {Dunod},
timestamp = {2019-05-16T03:17:41.000+0200},
title = {Stabilization of Galerkin approximations of transport equations by subgrid modeling},
url = {http://www.numdam.org/item/M2AN_1999__33_6_1293_0},
volume = 33,
year = 1999,
zbl = {0946.65112}
}