An upstream pseudostress-velocity mixed formulation for the Oseen equations

Eun Jae Park, Boyoon Seo

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

An upstream scheme based on the pseudostress-velocity mixed formulation is studied to solve convection-dominated Oseen equations. Lagrange multipliers are introduced to treat the trace-free constraint and the lowest order Raviart-Thomas finite element space on rectangular mesh is used. Error analysis for several quantities of interest is given. Particularly, first-order convergence in L2 norm for the velocity is proved. Finally, numerical experiments for various cases are presented to show the efficiency of this method.

Original languageEnglish
Pages (from-to)267-285
Number of pages19
JournalBulletin of the Korean Mathematical Society
Volume51
Issue number1
DOIs
Publication statusPublished - 2014 Jan 30

Fingerprint

Oseen Equations
Mixed Formulation
Lagrange multipliers
Error Analysis
Convection
Lowest
Trace
Numerical Experiment
Mesh
Finite Element
First-order
Norm

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

@article{87cc853ee3004f9891a2e64e8eea02a2,
title = "An upstream pseudostress-velocity mixed formulation for the Oseen equations",
abstract = "An upstream scheme based on the pseudostress-velocity mixed formulation is studied to solve convection-dominated Oseen equations. Lagrange multipliers are introduced to treat the trace-free constraint and the lowest order Raviart-Thomas finite element space on rectangular mesh is used. Error analysis for several quantities of interest is given. Particularly, first-order convergence in L2 norm for the velocity is proved. Finally, numerical experiments for various cases are presented to show the efficiency of this method.",
author = "Park, {Eun Jae} and Boyoon Seo",
year = "2014",
month = "1",
day = "30",
doi = "10.4134/BKMS.2014.51.1.267",
language = "English",
volume = "51",
pages = "267--285",
journal = "Bulletin of the Korean Mathematical Society",
issn = "1015-8634",
publisher = "Korean Mathematical Society",
number = "1",

}

An upstream pseudostress-velocity mixed formulation for the Oseen equations. / Park, Eun Jae; Seo, Boyoon.

In: Bulletin of the Korean Mathematical Society, Vol. 51, No. 1, 30.01.2014, p. 267-285.

Research output: Contribution to journalArticle

TY - JOUR

T1 - An upstream pseudostress-velocity mixed formulation for the Oseen equations

AU - Park, Eun Jae

AU - Seo, Boyoon

PY - 2014/1/30

Y1 - 2014/1/30

N2 - An upstream scheme based on the pseudostress-velocity mixed formulation is studied to solve convection-dominated Oseen equations. Lagrange multipliers are introduced to treat the trace-free constraint and the lowest order Raviart-Thomas finite element space on rectangular mesh is used. Error analysis for several quantities of interest is given. Particularly, first-order convergence in L2 norm for the velocity is proved. Finally, numerical experiments for various cases are presented to show the efficiency of this method.

AB - An upstream scheme based on the pseudostress-velocity mixed formulation is studied to solve convection-dominated Oseen equations. Lagrange multipliers are introduced to treat the trace-free constraint and the lowest order Raviart-Thomas finite element space on rectangular mesh is used. Error analysis for several quantities of interest is given. Particularly, first-order convergence in L2 norm for the velocity is proved. Finally, numerical experiments for various cases are presented to show the efficiency of this method.

UR - http://www.scopus.com/inward/record.url?scp=84892991362&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84892991362&partnerID=8YFLogxK

U2 - 10.4134/BKMS.2014.51.1.267

DO - 10.4134/BKMS.2014.51.1.267

M3 - Article

AN - SCOPUS:84892991362

VL - 51

SP - 267

EP - 285

JO - Bulletin of the Korean Mathematical Society

JF - Bulletin of the Korean Mathematical Society

SN - 1015-8634

IS - 1

ER -