Approximation and eigenvalue extrapolation of biharmonic eigenvalue problem by nonconforming finite element methods

作者：Jia, Shanghui^*; Me, Hehu; Yin, Xiaobo; Gao, Shaoqin

来源：Numerical Methods for Partial Differential Equations, 2008, 24(2): 435-448.

DOI：10.1002/num.20268

• asymptotic expansions
• biharmonic eigenvalue problem
• extrapolation
• nonconforming finite element methods

In this paper, we analyze the biharmonic eigenvalue problem by two nonconforming finite elements, Q(1)(rot) and EQ(1)(rot). We obtain full order convergence rate of the eigenvalue approximations for the biharmonic eigenvalue problem based on asymptotic error expansions for these two nonconforming finite elements. Using the technique of eigenvalue error expansion, the technique of integral identities, and the extrapolation method, we can improve the accuracy of the eigenvalue approximations.

• 出版日期2008-3
• 单位河北大学; 中国科学院数学与系统科学研究院; 中央财经大学