An upstream pseudostress-velocity mixed formulation for the Oseen equations

Eun Jae Park; Boyoon Seo

doi:10.4134/BKMS.2014.51.1.267

An upstream pseudostress-velocity mixed formulation for the Oseen equations

Eun Jae Park, Boyoon Seo

Department of Computational Science and Engineering

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

3 Citations (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 language	English
Pages (from-to)	267-285
Number of pages	19
Journal	Bulletin of the Korean Mathematical Society
Volume	51
Issue number	1
DOIs	https://doi.org/10.4134/BKMS.2014.51.1.267
Publication status	Published - 2014

All Science Journal Classification (ASJC) codes

Mathematics(all)

Access to Document

10.4134/BKMS.2014.51.1.267

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",

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",

}

TY - JOUR

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

AU - Park, Eun Jae

AU - Seo, Boyoon

PY - 2014

Y1 - 2014

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 -

An upstream pseudostress-velocity mixed formulation for the Oseen equations

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this