%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} }