A fully discrete stabilized finite-element method for the time-dependent Navier-Stokes problem
A fully discrete stabilized finite-element method for the time-dependent Navier-Stokes problem
复制标题
DOI：
10.1093/imanum/23.4.665
复制
发表时间：
2003-10-01
影响因子：
2.1
通讯作者：
He, YN
中科院分区：
文献类型：
--
作者：
He, YN
提出了一种求解二维非定常Navier-Stokes问题的全离散稳定化有限元方法。空间离散基于Q（1）- P-0四边形单元或P-1 - P-0三角形单元构造的用于近似速度和压力的有限元空间对（X-h，M-h）;时间离散基于欧拉半隐式格式。结果表明，所提出的全离散稳定化有限元方法的速度和压力的最佳阶误差界的结果。
A fully discrete stabilized finite-element method is presented for the two-dimensional time-dependent Navier-Stokes problem. The spatial discretization is based on a finite-element space pair (X-h, M-h) for the approximation of the velocity and the pressure, constructed by using the Q(1) - P-0 quadrilateral element or the P-1 - P-0 triangular element; the time discretization is based on the Euler semi-implicit scheme. It is shown that the proposed fully discrete stabilized finite-element method results in the optimal order error bounds for the velocity and the pressure.