Local and parallel finite element algorithms for the Steklov eigenvalue problem

Bi Hai; Li Zhengxia; Yang Yidu

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Local and parallel finite element algorithms for the Steklov eigenvalue problem

机译：Steklov特征值问题的局部和并行有限元算法

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Based on the work of Xu and Zhou [Math Comput 69 (2000) 881-909], we propose and analyze in this article local and parallel finite element algorithms for the Steklov eigenvalue problem. We also prove a local error estimate which is suitable for the case that the locally refined region contains singular points lying on the boundary of domain, which is an improvement of the existing results. Numerical experiments are reported finally to validate our theoretical analysis. (c) 2015 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 32: 399-417, 2016

机译：基于Xu和Zhou的工作[Math Comput 69（2000）881-909]，我们在本文中提出并分析了Steklov特征值问题的局部和并行有限元算法。我们还证明了局部误差估计，适用于局部精炼区域包含位于域边界上的奇异点的情况，这是对现有结果的改进。最后报道了数值实验，以验证我们的理论分析。（c）2015 Wiley Periodicals，Inc.数值方法偏微分方程32：399-417，2016

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《Numerical Methods for Partial Differential Equations: An International Journal》 |2016年第2期|共19页
作者
Bi Hai; Li Zhengxia; Yang Yidu;
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正文语种 eng
中图分类数值分析;
关键词
local error estimates; local and parallel algorithms; Steklov eigenvalue problem;

机译：局部误差估计;局部和并行算法;Steklov特征值问题;

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1. Local and parallel finite element algorithms for the Steklov eigenvalue problem [J] . Bi Hai, Li Zhengxia, Yang Yidu Numerical Methods for Partial Differential Equations: An International Journal . 2016,第2期

机译：Steklov特征值问题的局部和并行有限元算法
2. Local and parallel finite element algorithms for eigenvalue problem with homogeneous mixed boundary conditions [J] . Zhengxia Li, Yidu Yang, Hao Li International Journal of Applied Mathematics & Statistics . 2014,第2期

机译：齐次混合边界条件下特征值问题的局部和并行有限元算法
3. LOCAL AND PARALLEL FINITE ELEMENT ALGORITHM BASED ON MULTILEVEL DISCRETIZATION FOR EIGENVALUE PROBLEMS [J] . Han Xiaole, Li Yu, Xie Hehu, International journal of numerical analysis and modeling . 2016,第1期

机译：特征值问题基于多层次离散化的局部和有限元算法
4. A two-grid method of nonconforming element based on the shifted-inverse power method for the Steklov eigenvalue problem [C] . Hai Bi International Conference on Manufacturing Science and Engineering . 2013

机译：一种基于STEKLOV特征值的移位逆功率方法的非圆形元素的两栅格方法
5. Nonlinear and parallel algorithms for finite element discretizations of the incompressible Navier-Stokes equations. [D] . Arteaga, Santiago Egido. 1998

机译：不可压缩Navier-Stokes方程的有限元离散化的非线性和并行算法。
6. Adaptive Morley element algorithms for the biharmonic eigenvalue problem [O] . Hao Li, Yidu Yang -1

机译：双调和特征值问题的自适应Morley元素算法
7. Local and parallel finite element algorithms for eigenvalue problems [O] . Jinchao Xu, Aihui Zhou 2014

机译：特征值问题的局部和并行有限元算法
8. Massively Parallel Finite-Element Eigenvalue Solver for Modal Analysis in Structural Mechanics. [R] . Kononenko, O. 2014

机译：结构力学模态分析的大规模并行有限元特征值求解器。

Local and parallel finite element algorithms for the Steklov eigenvalue problem

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