Numerical Experiments for the Arnold-Winther Mixed Finite Elements for the Stokes Problem
Numerical Experiments for the Arnold-Winther Mixed Finite Elements for the Stokes Problem
复制标题
Stokes问题的Arnold-Winter混合有限元数值实验
DOI：
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发表时间：
2012
影响因子：
3.1
通讯作者：
Eun‐Jae Park
中科院分区：
文献类型：
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作者：
C. Carstensen;J. Gedicke;Eun‐Jae Park
Stokes问题的应力-速度公式允许Arnold-Winther混合有限元公式，并具有速度的超收敛重建。这种局部后处理产生了两个可靠的后验误差估计，恢复应力误差估计的最佳收敛阶。在数值基准示例中研究了理论结果。
The stress-velocity formulation of the stationary Stokes problem allows an Arnold--Winther mixed finite element formulation with some superconvergent reconstruction of the velocity. This local postprocessing gives rise to two reliable a posteriori error estimators which recover optimal convergence order for the stress error estimates. The theoretical results are investigated in numerical benchmark examples.