Superconvergence of a stabilized approximation for the Stokes eigenvalue problem by projection method

作者：Huang Pengzhan^*

来源：Applications of Mathematics, 2014, 59(4): 361-370.

DOI：10.1007/s10492-014-0061-7

• Stokes eigenvalue problem
• stabilized method
• lowest equal-order pair
• projection method
• superconvergence

This paper presents a superconvergence result based on projection method for stabilized finite element approximation of the Stokes eigenvalue problem. The projection method is a postprocessing procedure that constructs a new approximation by using the least squares method. The paper complements the work of Li et al. (2012), which establishes the superconvergence result of the Stokes equations by the stabilized finite element method. Moreover, numerical tests confirm the theoretical analysis.

• 出版日期2014-8
• 单位新疆大学