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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Two families of $n$-rectangle nonconforming finite elements for sixth-order elliptic equations
六阶椭圆方程 矩形 有限元族
2023/4/13
We propose two families of nonconforming finite elements on $n$-rectangle meshes of any dimension to solve the sixth-order elliptic equations. The unisolvent property and the approximation ability of ...
Nonconforming H1-Galerkin Mixed Finite Element Method for Pseudo-Hyperbolic Equations
Pseudo-Hyperbolic Equation Nonconforming H1-Galerkin Mixed Finite Element Error Estimate
2013/1/30
Based on H1-Galerkin mixed finite element method with nonconforming quasi-Wilson element, a numerical approximate scheme is established for pseudo-hyperbolic equations under arbitrary quadrilateral me...
Multigrid Preconditioner for Nonconforming Discretization of Elliptic Problems with Jump Coefficients
Multigrid Preconditioner Elliptic Problems Jump Coefficients Numerical Analysis
2011/9/1
Abstract: In this paper, we present a multigrid preconditioner for solving the linear system arising from the piecewise linear nonconforming Crouzeix-Raviart discretization of second order elliptic pr...
A Posteriori Error Estimates for Nonconforming Approximations of Evolutionary Convection-Diffusion Problems
a posteriori error estimates time-nonconforming approximations convection-diffusion
2011/2/25
We derive computable upper bounds for the difference between an exact solution of the evolutionary convection-diffusion problem and an approximation of this solution.
The main aim of this paper is to study the error estimates of a nonconforming finite element with some superconvergence results under anisotropic meshes. The anisotropic interpolation error and consis...
$P_1$-nonconforming Quadrilateral Finite Volume Element Method and Its Cascadic Multigrid Algorithm
2007/12/12
In this paper, we discuss the finite volume element
method of $P_1$-nonconforming quadrilateral element for elliptic
problems and obtain optimal error estimates for general
quadrilateral partition....
A NONCONFORMING ANISOTROPIC FINITE ELEMENT APPROXIMATION WITH MOVING GRIDS FOR STOKES PROBLEM
Stokes problem Nonconforming finite element Anisotrop Moving grids Error estimate
2007/12/12
This paper is devoted to the five parameters nonconforming finite
element schemes with
moving grids for velocity-pressure mixed formulations of the nonstationary
Stokes problem in 2-D. We show that...
HIGH ACCURACY ANALYSIS OF ELLIPTIC EIGENVALUE PROBLEM FOR THE WILSON NONCONFORMING FINITE ELEMENT
Eigenvalue problems high accu
2007/12/10
In this paper, the Wilson nonconforming finite element is considered for solving elliptic eigenvalue problems. Based on an interpolation postprocessing, superconvergence estimates of both eigenfuncti...
Two Nonconforming Quadrilateral Elements for the Reissner-Mindlin Plate
Locking-free Quadrilateral nonconforming rotated Q1 element Reissner-Mindlin Plate
2012/8/1
We construct two low order nonconforming quadrilateral elements for the Reissner-Mindlin plate. The rst one consists of a modi ed nonconforming rotated Q1 element for one component of the rotation an...
The Nonconforming Finite Element Method for Signorini Problem
nonconforming finite element Signorini problem
2012/7/31
We present the linear nonconforming nite element approximation of the variational inequality resulting from Signorini problem. We show if the displacement eld is of H2 regularity,the convergence rat...