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

^*此作品的通讯作者

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	3701-3708
页数	8
期刊	Applied Mathematics and Computation
卷	219
期	8
DOI	https://doi.org/10.1016/j.amc.2012.09.072
出版状态	已出版 - 15 12月 2012
已对外发布	是

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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",

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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

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