A variational multiscale method with bubble stabilization for the Oseen problem based on two local Gauss integrations

Haibiao Zheng; Jiaping Yu; Kaitai Li; Feng Shi

doi:10.1016/j.amc.2012.09.072

A variational multiscale method with bubble stabilization for the Oseen problem based on two local Gauss integrations

Haibiao Zheng
, Jiaping Yu^*
, Kaitai Li
, Feng Shi

^*Corresponding author for this work

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

2 Scopus citations

Abstract

We present a variational multiscale method for the Oseen equation with higher Reynolds number. Based on the mini-element discretization, the stabilization term only depends on bubble functions, and the best algorithmic feature of our method is using two local Gauss integrations to replace projection operator without adding any extra storage. A priori error estimate is proved and the effectiveness of the method is illustrated through several numerical experiments.

Original language	English
Pages (from-to)	3701-3708
Number of pages	8
Journal	Applied Mathematics and Computation
Volume	219
Issue number	8
DOIs	https://doi.org/10.1016/j.amc.2012.09.072
State	Published - 15 Dec 2012
Externally published	Yes

Keywords

Higher Reynolds numbers
Mini-elements
Oseen problem
Two local Gauss integrations
Variational multiscale method

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10.1016/j.amc.2012.09.072

Cite this

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title = "A variational multiscale method with bubble stabilization for the Oseen problem based on two local Gauss integrations",

abstract = "We present a variational multiscale method for the Oseen equation with higher Reynolds number. Based on the mini-element discretization, the stabilization term only depends on bubble functions, and the best algorithmic feature of our method is using two local Gauss integrations to replace projection operator without adding any extra storage. A priori error estimate is proved and the effectiveness of the method is illustrated through several numerical experiments.",

keywords = "Higher Reynolds numbers, Mini-elements, Oseen problem, Two local Gauss integrations, Variational multiscale method",

author = "Haibiao Zheng and Jiaping Yu and Kaitai Li and Feng Shi",

year = "2012",

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T1 - A variational multiscale method with bubble stabilization for the Oseen problem based on two local Gauss integrations

AU - Zheng, Haibiao

AU - Yu, Jiaping

AU - Li, Kaitai

AU - Shi, Feng

PY - 2012/12/15

Y1 - 2012/12/15

N2 - We present a variational multiscale method for the Oseen equation with higher Reynolds number. Based on the mini-element discretization, the stabilization term only depends on bubble functions, and the best algorithmic feature of our method is using two local Gauss integrations to replace projection operator without adding any extra storage. A priori error estimate is proved and the effectiveness of the method is illustrated through several numerical experiments.

AB - We present a variational multiscale method for the Oseen equation with higher Reynolds number. Based on the mini-element discretization, the stabilization term only depends on bubble functions, and the best algorithmic feature of our method is using two local Gauss integrations to replace projection operator without adding any extra storage. A priori error estimate is proved and the effectiveness of the method is illustrated through several numerical experiments.

KW - Higher Reynolds numbers

KW - Mini-elements

KW - Oseen problem

KW - Two local Gauss integrations

KW - Variational multiscale method

UR - https://www.scopus.com/pages/publications/84870052833

U2 - 10.1016/j.amc.2012.09.072

DO - 10.1016/j.amc.2012.09.072

M3 - 文章

AN - SCOPUS:84870052833

SN - 0096-3003

VL - 219

SP - 3701

EP - 3708

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 8

ER -

A variational multiscale method with bubble stabilization for the Oseen problem based on two local Gauss integrations

Abstract

Keywords

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