关于Steklov特征值问题非协调元逼近的一个注记

A note about nonconforming finite element approximations of the Steklov eigenvalue problem

探索了凹角域上Steklov特征值问题的非协调元逼近.数值实验结果表明用非协调Crouzeix-Raviart元、Q1rot元、EQ1rot元求得的近似特征值具有三角线性协调元的精度阶,而且可能下逼近于准确特征值。

This paper explores nonconforming finite element approximations of the Steklov eigenvalue problem where Ω is a bounded concave polygonal domain. Numerical results show that the approximate eigenvalues derived from the nonconforming Crouzeix-Raviart element , Q1^rot element and EQ1^rot element have the same convergent order as that obtained from the piecewise linear conforming finite element and perhaps provide lower bounds of the exact eigenvalues.