Stabilized Stokes Elements and Local Mass Conservation

Daniele Boffi; Nicola Cavallini; Francesca Gardini; Lucia Gastaldi

Bollettino dell'Unione Matematica Italiana (2012)

  • Volume: 5, Issue: 3, page 543-573
  • ISSN: 0392-4041

Abstract

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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.

How to cite

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Boffi, Daniele, et al. "Stabilized Stokes Elements and Local Mass Conservation." Bollettino dell'Unione Matematica Italiana 5.3 (2012): 543-573. <http://eudml.org/doc/290825>.

@article{Boffi2012,
abstract = {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.},
author = {Boffi, Daniele, Cavallini, Nicola, Gardini, Francesca, Gastaldi, Lucia},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {10},
number = {3},
pages = {543-573},
publisher = {Unione Matematica Italiana},
title = {Stabilized Stokes Elements and Local Mass Conservation},
url = {http://eudml.org/doc/290825},
volume = {5},
year = {2012},
}

TY - JOUR
AU - Boffi, Daniele
AU - Cavallini, Nicola
AU - Gardini, Francesca
AU - Gastaldi, Lucia
TI - Stabilized Stokes Elements and Local Mass Conservation
JO - Bollettino dell'Unione Matematica Italiana
DA - 2012/10//
PB - Unione Matematica Italiana
VL - 5
IS - 3
SP - 543
EP - 573
AB - 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.
LA - eng
UR - http://eudml.org/doc/290825
ER -

References

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