Local and parallel finite element algorithms for eigenvalue problem with homogeneous mixed boundary conditions

Zhengxia Li; Yidu Yang; Hao Li

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Local and parallel finite element algorithms for eigenvalue problem with homogeneous mixed boundary conditions

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

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摘要

Based on the work of Xu and Zhou [Math. Comp., 69 (2000), pp. 881-909], this paper discusses local and parallel algorithms for eigenvalue problems with homogeneous mixed boundary conditions. Theoretical analysis and numerical experiments show that the computational approach disscussed in this paper is efficient.

机译：根据徐和周的工作[数学。 [Comp。，69（2000），pp。881-909]，讨论了均质混合边界条件下特征值问题的局部和并行算法。理论分析和数值实验表明，本文所讨论的计算方法是有效的。

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《International Journal of Applied Mathematics & Statistics》 |2014年第2期|共10页
作者
Zhengxia Li; Yidu Yang; Hao Li;
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正文语种 eng
中图分类计量学;
关键词
eigenvalue; finite element; homogeneous mixed boundary conditions; local and parallel algorithm;

机译：特征值有限元均匀混合边界条件局部和并行算法;

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专利

1. 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
2. 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
3. Least-squares mixed finite elements for linear elasticity problems with non-homogeneous boundary conditions [J] . Jovanovic B., Sestak I. Zeitschrift fur Angewandte Mathematik und Mechanik . 1998,第9期

机译：具有非均匀边界条件的线性弹性问题的最小二乘混合有限元
4. Superconvergent Finite Element Postprocessing for Eigenvalue Problems with Nonlocal Boundary Conditions [C] . A. B. Andreev, M. R. Racheva International Conference on Large-Scale Scientific Computing . 2008

机译：非局部边界条件的特征值问题的超增强有限元
5. Weak Galerkin Finite Element Method with Mixed Boundary Conditions [D] . Hussain, Saqib 2018

机译：弱Galerkin有限元方法与混合边界条件
6. Modeling mixed boundary conditions in a Hilbert space with the complex variable boundary element method (CVBEM) [O] . Anthony N. Johnson, T.V. Hromadka II 2015

机译：使用复杂变量边界元方法（CVBEM）对希尔伯特空间中的混合边界条件建模
7. A Finite Element Algorithm for High-Lying Eigenvalues and Eigenfunctions with Homogeneous Neumann and Dirichlet Boundary Conditions [O] . Baez, G., Leyvraz, F., Mendez-Sanchez, R. A., 2000

机译：高位特征值和特征函数的有限元算法具有齐次Neumann和Dirichlet边界条件
8. A new conformal absorbing boundary condition for finite element meshes and parallelization of FEMATS [R] . Chatterjee, A., Volakis, J. L., Nguyen, J., 1993

机译：有限元网格和FEmaTs并行化的一种新的共形吸收边界条件

Local and parallel finite element algorithms for eigenvalue problem with homogeneous mixed boundary conditions

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