Are the eigenvalues of the B‐spline isogeometric analysis approximation of −Δu = λu known in almost closed form?

SE Ekström, I Furci, C Garoni, C Manni… - … Linear Algebra with …, 2018 - Wiley Online Library
We consider the B‐spline isogeometric analysis approximation of the Laplacian eigenvalue
problem− Δ u= λ u over the d‐dimensional hypercube (0, 1) d. By using tensor‐product …

A meshfree method based on radial basis functions for the eigenvalues of transient Stokes equations

A Golbabai, H Rabiei - Engineering analysis with boundary elements, 2012 - Elsevier
In this paper, a meshfree method based on radial basis functions (RBFs) is developed to
approximate the eigenvalues of Stokes equations in primitive variables in a square domain …

Two-level stabilized finite element method for Stokes eigenvalue problem

P Huang, Y He, X Feng - Applied Mathematics and Mechanics, 2012 - Springer
A two-level stabilized finite element method for the Stokes eigenvalue problem based on the
local Gauss integration is considered. This method involves solving a Stokes eigenvalue …

Hybrid shape parameter strategy for the RBF approximation of vibrating systems

A Golbabai, H Rabiei - International Journal of Computer …, 2012 - Taylor & Francis
Shape parameters play an important role in radial basis function (RBF) approximations.
Therefore, the choice of them is an active field in numerical analysis research. In this paper …

Upper spectral bounds and a posteriori error analysis of several mixed finite element approximations for the Stokes eigenvalue problem

YD Yang, W Jiang - Science China Mathematics, 2013 - Springer
This paper discusses conforming mixed finite element approximations for the Stokes
eigenvalue problem. Firstly, several mixed finite element identities are proved. Based on …

Numerical investigations on several stabilized finite element methods for the Stokes eigenvalue problem

P Huang, Y He, X Feng - Mathematical Problems in …, 2011 - Wiley Online Library
Several stabilized finite element methods for the Stokes eigenvalue problem based on the
lowest equal‐order finite element pair are numerically investigated. They are penalty …

Lower and upper bounds of Stokes eigenvalue problem based on stabilized finite element methods

P Huang - Calcolo, 2015 - Springer
Two stabilized finite element methods for the Stokes eigenvalue problem based on the
lowest equal-order finite element pair are given. They are stabilized conforming element and …

RECENT RESULTS ON LOWER BOUNDS OF EIGENVALUE PROBLEMS BY NONCONFORMING FINITE ELEMENT METHODS.

Q Lin, H Xie - Inverse Problems & Imaging, 2013 - search.ebscohost.com
RECENT RESULTS ON LOWER BOUNDS OF EIGENVALUE PROBLEMS BY
NONCONFORMING FINITE ELEMENT METHODS Qun Lin Hehu Xie 1. Introduction. Page …

The multilevel mixed finite element discretizations based on local defect-correction for the Stokes eigenvalue problem

Y Yang, J Han - Computer Methods in Applied Mechanics and …, 2015 - Elsevier
Based on the work of Xu and Zhou (2000), this paper combines mixed finite element method
and the local defect-correction technique to establish new local and parallel multilevel …

解Stokes 特征值问题的一种两水平稳定化有限元方法

黄鹏展, 何银年, 冯新龙 - 应用数学和力学, 2012 - pubs.cstam.org.cn
基于局部Gauss 积分, 研究了解Stokes 特征值问题的一种两水平稳定化有限元方法.
该方法涉及在网格步长为H 的粗网格上解一个Stokes 特征值问题, 在网格步长为h= O (H2) …