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 | |
| Publication status | Published - 2014 Jan 30 |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
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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 journal › Article
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 -