Error estimate for convection problem with characteristics method

Error estimate for convection problem with characteristics method
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对流问题的特征法误差估计

DOI:
10.1023/a:1019188825338
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发表时间:
1999
影响因子:
2.1
通讯作者:
A. Machmoum
A. Machmoum
中科院分区:
数学3区
文献类型:
--
作者:
J. Baranger;D. Esslaoui;A. Machmoum

文献摘要

被引文献

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本文用特征线方法,采用伪时间步长k和Pr间断有限元,在Th网格上对一阶定常对流问题进行了数值逼近。当入口流场为Ω填充时,在技术假设下,证明了连续和离散变分问题(Pk)和P(hk)的存在唯一性,并给出了误差估计.
We consider the numerical approximation of a first order steady-state convective problem by the method of characteristics with pseudo-time step k and Pr discontinuous finite elements on a mesh Th. We show, when the entry flow field is Ω filling and under a technical hypothesis, the existence and the uniqueness for the continuous and the discrete variational problems (Pk) and P(hk) and we give an error estimate.