Acceleration of stabilized finite element discretizations for the Stokes eigenvalue problem
Acceleration of stabilized finite element discretizations for the Stokes eigenvalue problem
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DOI：
10.1007/s10444-014-9386-8
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发表时间：
2015-08
影响因子：
1.7
通讯作者：
Hehu Xie;Xiaobo Yin
中科院分区：
文献类型：
--
作者：
Hehu Xie;Xiaobo Yin
将基于局部投影稳定化的稳定化有限元方法应用于Stokes特征值问题的离散，给出了相应的稳定性和收敛性。此外，我们使用后处理技术，以加快收敛速度的特征对近似。后处理策略包括在一个增广的有限元空间中求解一个附加的Stokes源问题，该空间可以通过细化网格或增加有限元空间的阶数来构造。数值试验也证实了理论结果。
The stabilized finite element method based on local projection stabilization is applied to discretize the Stokes eigenvalue problems, then the corresponding stability and convergence properties are given. Furthermore, we use a postprocessing technique to accelerate the convergence rate of the eigenpair approximations. The postprocessing strategy contains solving an additional Stokes source problem in an augmented finite element space which can be constructed either by refining the mesh, or increasing the order of finite element space. Numerical tests are also provided to confirm the theoretical results.