Error estimates for finite element approximations of consistent splitting schemes for incompressible flows
Error estimates for finite element approximations of consistent splitting schemes for incompressible flows
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DOI：
10.3934/dcdsb.2007.8.663
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发表时间：
2007-07
影响因子：
1.2
通讯作者：
Jie Shen;Xiaofeng Yang
中科院分区：
文献类型：
--
作者：
Jie Shen;Xiaofeng Yang
本文研究了含时Navier-Stokes方程[11]中一致分裂格式的有限元逼近。在每一个时间步，我们只需要解决一个泊松型方程的速度和压力的每个分量。我们铸造的有限元近似的抽象形式，使用适当定义的离散微分算子，并推导出最佳的误差估计的速度和压力下的inf-sup假设。
We study a finite element approximation for the consistent splitting scheme proposed in [11] for the time dependent Navier-Stokes equations. At each time step, we only need to solve a Poisson type equation for each component of the velocity and the pressure. We cast the finite element approximation in an abstract form using appropriately defined discrete differential operators, and derive optimal error estimates for both velocity and pressure under the inf-sup assumption.