Geodesic
Stabilized Stokes Elements and Local Mass Conservation
Bollettino della Unione matematica italiana, Série 9, Tome 5 (2012) no. 3, pp. 543-573

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

In this paper we discuss lowest order stabilizations of Stokes finite elements. We study the behavior of the constants in front of the error estimates in terms of the stabilization parameters and confirm with numerical tests that the bounds are sharp. Moreover, we investigate the local mass conservation properties of the considered schemes and analyze new schemes with enhanced pressure approximation, which guarantee a better local discretization of the divergence free constraint. 
@article{BUMI_2012_9_5_3_a4,
     author = {Boffi, Daniele and Cavallini, Nicola and Gardini, Francesca and Gastaldi, Lucia},
     title = {Stabilized {Stokes} {Elements} and {Local} {Mass} {Conservation}},
     journal = {Bollettino della Unione matematica italiana},
     pages = {543--573},
     publisher = {mathdoc},
     volume = {Ser. 9, 5},
     number = {3},
     year = {2012},
     zbl = {1291.76197},
     mrnumber = {3051736},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2012_9_5_3_a4/}
}
TY  - JOUR
AU  - Boffi, Daniele
AU  - Cavallini, Nicola
AU  - Gardini, Francesca
AU  - Gastaldi, Lucia
TI  - Stabilized Stokes Elements and Local Mass Conservation
JO  - Bollettino della Unione matematica italiana
PY  - 2012
SP  - 543
EP  - 573
VL  - 5
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/BUMI_2012_9_5_3_a4/
LA  - en
ID  - BUMI_2012_9_5_3_a4
ER  - 
%0 Journal Article
%A Boffi, Daniele
%A Cavallini, Nicola
%A Gardini, Francesca
%A Gastaldi, Lucia
%T Stabilized Stokes Elements and Local Mass Conservation
%J Bollettino della Unione matematica italiana
%D 2012
%P 543-573
%V 5
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/BUMI_2012_9_5_3_a4/
%G en
%F BUMI_2012_9_5_3_a4
Boffi, Daniele; Cavallini, Nicola; Gardini, Francesca; Gastaldi, Lucia. Stabilized Stokes Elements and Local Mass Conservation. Bollettino della Unione matematica italiana, Série 9, Tome 5 (2012) no. 3, pp. 543-573. http://geodesic.mathdoc.fr/item/BUMI_2012_9_5_3_a4/