8 citations · 13 across the 7 of their papers we have counts for
7 papers
Explicit a posteriori and a priori error estimation for the finite element solution of Stokes equations
Xuefeng Liu, Mitsuhiro Nakao, Chun'guang You +1
For the Stokes equation over 2D and 3D domains, explicit a posteriori and a priori error estimation are novelly developed for the finite element solution. The difficulty in handlin…
Guaranteed eigenvalue bounds for the Steklov eigenvalue problem
Chun'guang You, Hehu Xie, Xuefeng Liu
To provide mathematically rigorous eigenvalue bounds for the Steklov eigenvalue problem, an enhanced version of the eigenvalue estimation algorithm developed by the third author is…
Energy Error Estimates of Subspace Method and Multigrid Algorithm for Eigenvalue Problems
Yunhui He, Qichen Hong, Hehu Xie +2
This paper is to give a new understanding and applications of the subspace projection method for selfadjoint eigenvalue problems. A new error estimate in the energy norm, which is…
Explicit Bound for Quadratic Lagrange Interpolation Constant on Triangular Finite Elements
Xuefeng Liu, Chun'guang You
For the quadratic Lagrange interpolation function, an algorithm is proposed to provide explicit and verified bound for the interpolation error constant that appears in the interpol…
A Small Note About Lower Bound of Eigenvalues
Hehu Xie, Chunguang You
This paper gives a framework to produce the lower bound of eigenvalues defined in a Hilbert space by the eigenvalues defined in another Hilbert space. The method is based on using…
An Algebraic Multigrid Method for Eigenvalue Problems in Some Different Cases
Ning Zhang, Xiaole Han, Yunhui He +2
The aim of this paper is to develop an algebraic multigrid method to solve eigenvalue problems based on the combination of the multilevel correction scheme and the algebraic multig…
Local and Parallel Finite Element Algorithm Based On Multilevel Discretization for Eigenvalue Problem
Yu Li, Xiaole Han, Hehu Xie +1
A local and parallel algorithm based on the multilevel discretization is proposed in this paper to solve the eigenvalue problem by the finite element method. With this new scheme,…