Optimal error estimates of the penalty method for the linearized viscoelastic flows

Optimal error estimates of the penalty method for the linearized viscoelastic flows
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DOI:
10.1080/00207160902980500
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发表时间:
2010-11
影响因子:
1.8
通讯作者:
Kun Wang;Yueqiang Shang;R. Zhao
Kun Wang;Yueqiang Shang;R. Zhao
中科院分区:
数学4区
文献类型:
--
作者:
Kun Wang;Yueqiang Shang;R. Zhao

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本文导出了奥尔德罗伊德模型中线性化粘弹性流动方程的惩罚法的最优误差估计。此外,还得到了l2范数和h1范数下后向欧拉时间离散方案的误差估计。
In this article, optimal error estimates of the penalty method for the linearized viscoelastic flows equations arising in the Oldroyd model are derived. Furthermore, error estimates for the backward Euler time discretization scheme in L 2 and H 1-norms are obtained.