A posteriori error estimates for the Stokes equations: A comparison

Randolph E. Bank; Bruno D. Welfert

doi:10.1016/0045-7825(90)90170-Q

A posteriori error estimates for the Stokes equations: A comparison

Randolph E. Bank, Bruno D. Welfert

Research output: Contribution to journal › Article › peer-review

54 Scopus citations

Abstract

Several a posteriori error estimates for the Stokes equations have been derived by several authors. In this paper we compare some estimates based on the solution of local Stokes systems with estimates based on the residuals of the discretized finite element equations. Their performance as local indicators as well as global estimates is investigated.

Original language	English (US)
Pages (from-to)	323-340
Number of pages	18
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	82
Issue number	1-3
DOIs	https://doi.org/10.1016/0045-7825(90)90170-Q
State	Published - Sep 1990
Externally published	Yes

ASJC Scopus subject areas

Computational Mechanics
Mechanics of Materials
Mechanical Engineering
General Physics and Astronomy
Computer Science Applications

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10.1016/0045-7825(90)90170-Q

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@article{255671fda8f2432688e6744ba49287b9,

title = "A posteriori error estimates for the Stokes equations: A comparison",

abstract = "Several a posteriori error estimates for the Stokes equations have been derived by several authors. In this paper we compare some estimates based on the solution of local Stokes systems with estimates based on the residuals of the discretized finite element equations. Their performance as local indicators as well as global estimates is investigated.",

author = "Bank, {Randolph E.} and Welfert, {Bruno D.}",

note = "Funding Information: *The work of this author was supported by the Office of Naval Research under contract N00014-89J-1440, by Avions Marcel Dassault - Breguet Aviation, 78 quai Marcel Dassault, 92214 St Cloud, France and by Direction des Recherches Etudes et Techniques, 26 boulevard Victor, 75996 Paris Armres, France. *The work of this author was supported by Avions Marcel Dassault-Breguet Aviation, 78 quai Marcel Dassault, 92214 St Cloud, France and by Direction des Recherches Etudes et Techniques, 26 boulevard Victor, 75996 Paris Armres, France.",

year = "1990",

month = sep,

doi = "10.1016/0045-7825(90)90170-Q",

language = "English (US)",

volume = "82",

pages = "323--340",

journal = "Computer Methods in Applied Mechanics and Engineering",

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publisher = "Elsevier",

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TY - JOUR

T1 - A posteriori error estimates for the Stokes equations

T2 - A comparison

AU - Bank, Randolph E.

AU - Welfert, Bruno D.

N1 - Funding Information: *The work of this author was supported by the Office of Naval Research under contract N00014-89J-1440, by Avions Marcel Dassault - Breguet Aviation, 78 quai Marcel Dassault, 92214 St Cloud, France and by Direction des Recherches Etudes et Techniques, 26 boulevard Victor, 75996 Paris Armres, France. *The work of this author was supported by Avions Marcel Dassault-Breguet Aviation, 78 quai Marcel Dassault, 92214 St Cloud, France and by Direction des Recherches Etudes et Techniques, 26 boulevard Victor, 75996 Paris Armres, France.

PY - 1990/9

Y1 - 1990/9

N2 - Several a posteriori error estimates for the Stokes equations have been derived by several authors. In this paper we compare some estimates based on the solution of local Stokes systems with estimates based on the residuals of the discretized finite element equations. Their performance as local indicators as well as global estimates is investigated.

AB - Several a posteriori error estimates for the Stokes equations have been derived by several authors. In this paper we compare some estimates based on the solution of local Stokes systems with estimates based on the residuals of the discretized finite element equations. Their performance as local indicators as well as global estimates is investigated.

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JO - Computer Methods in Applied Mechanics and Engineering

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ER -

A posteriori error estimates for the Stokes equations: A comparison

Abstract

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