Two-level quadratic equal-order stabilized method for the Stokes eigenvalue problem

作者：Weng, Zhifeng; Yang, Jerry Zhijian; Lu, Xiliang^*

来源：International Journal of Computer Mathematics, 2015, 92(2): 337-348.

DOI：10.1080/00207160.2014.891020

• 65M60
• 76D07
• 65M12
• quadratic equal-order stabilized method
• two-level method
• Stokes eigenvalue problem

In this article, the P-2-P-2-stabilized finite element method based on two local Gaussian quadratures is applied to discretize the Stokes eigenvalue problem, and the corresponding convergence analysis is given. Furthermore, a two-level scheme, which solves the Stokes eigenvalue problem on a coarser grid and a Stokes problem on the fine grid, is employed to reduce the computational cost. Numerical examples are given to confirm the theoretical results.

• 出版日期2015-2-1
• 单位武汉大学