A stabilized finite element method based on two local Gauss integrations for the Stokes equations
A stabilized finite element method based on two local Gauss integrations for the Stokes equations
复制标题
基于斯托克斯方程的两个局部高斯积分的稳定有限元方法
DOI：
10.1016/j.cam.2007.02.015
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发表时间：
2008-04-15
影响因子：
2.4
通讯作者：
He, Yinnian
中科院分区：
文献类型：
--
作者：
Li, Jian;He, Yinnian
本文考虑了由最低等阶有限元对(即P-1-P-1和Q（1)-Q(1)对）近似的Stokes方程的压力的一致质量矩阵与欠积分质量矩阵之差的稳定方法。该方法仅用单元级简单对称项的残差对离散压力空间进行偏移，以避免中馈条件。应用标准伽辽金技术得到了最优误差估计。最后，数值算例与理论预期完全吻合。(C) 2007 Elsevier B.V.版权所有
This paper considers a stabilized method based on the difference between a consistent and an under-integrated mass matrix of the pressure for the Stokes equations approximated by the lowest equal-order finite element pairs (i.e., the P-1-P-1 and Q(1)-Q(1) pairs). This method only offsets the discrete pressure space by the residual of the simple and symmetry term at element level in order to circumvent the inf-sup condition. Optimal error estimates are obtained by applying the standard Galerkin technique. Finally, the numerical illustrations agree completely with the theoretical expectations. (C) 2007 Elsevier B.V. All rights reserved.