贵州师范大学数学科学学院
纸质出版:2024
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[1]徐良坤,闭海.Steklov-Lamé特征值问题自适应多网格方法的后验误差估计(英文)[J].新疆大学学报(自然科学版)(中英文),2024,41(02):157-170+180.
[1]徐良坤,闭海.Steklov-Lamé特征值问题自适应多网格方法的后验误差估计(英文)[J].新疆大学学报(自然科学版)(中英文),2024,41(02):157-170+180. DOI: 10.13568/j.cnki.651094.651316.2023.12.24.0002.
DOI:10.13568/j.cnki.651094.651316.2023.12.24.0002.
建立Steklov-Lamé特征值问题的一种基于移位反迭代的有限元多网格离散方案
并研究该方案基于残差型的后验误差估计.首先给出近似特征函数在L2(??)范数意义下的误差估计
其次给出多网格方案近似解的后验误差指示子
并证明后验误差指示子的可靠性和有效性.最后利用后验误差指示子设计自适应多网格算法并用于求解Steklov-Lamé特征值问题.
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(??) 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.
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