In this paper,we present a multi-level correction scheme for the biharmonic eigenvalue problem using the nonconforming finite element method.With the proposed method,the eigenvalue problem is transformed into an eigenvalue problem on the coarsest grid and a series of source problems on the fine grids.The multi-level correction scheme for the biharmonic eigenvalue problem possesses the high convergence rate and optimal computational cost provided that the linear solver for the nonconforming finite element method is optimal.Both theoretical analysis and numerical verification are presented.
关键词
特征值问题/多重校正/有限元方法
Key words
eigenvalue problem/multi-level correction/finite element method
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