We establish a finite element multigrid discretization scheme based on the shifted-inverse iteration for the Steklov-Lamé eigenproblem,and investigate the a posteriori error estimation of residual type for the scheme.Firstly,we give the error estimation of the approximate eigenfunction in the sense of L2(∂Ω)norm,then we give the a posteriori error indicators for the multigrid approximate solution,and prove the reliability and efficiency of the indicators.Finally,we use the a posteriori error indicators to design an adaptive multigrid algorithm for solving the Steklov-Lamé eigenproblem.
关键词
Steklov-Lamé特征值/基于移位反迭代的多网格离散/后验误差估计/自适应多网格算法
Key words
Steklov-Lamé eigenvalues/multigrid discretization based on shifted inverse iteration/a posteriori error estimation/adaptive multigrid algorithm
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基金项目
National Natural Science Foundation of the People's Republic of China(12261024)
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