Stabilization of Galerkin approximations of transport equations by subgrid modeling
J. Guermond. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, 33 (6):
1293-1316(1999)
Zusammenfassung
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.
%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}
}