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The Optimal Order Error Estimates for Finite Element Approximations to Hyperbolic Problems          font style='font-size:12px;'> 2007/12/12
In this paper, the linear finite element approximation to the positive and symmetric, linear hyperbolic systems is analyzed and an $O(h^2)$ order error estimate is established under the conditions of ...
An Anisotropic Nonconforming Finite Element with Some Superconvergence Results          font style='font-size:12px;'> 2007/12/12
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...
An unstructured mesh finite volume discretisation method for simulating diffusion in anisotropic media in two-dimensional space is discussed. This technique is considered as an extension of the fully ...
LOCAL AND PARALLEL FINITE ELEMENT ALGORITHMS FOR THE NAVIER-STOKESPROBLEM          font style='font-size:12px;'> 2007/12/12
Based on two-grid discretizations, in this paper, some new local and parallel finite element algorithms are proposed and analyzed for the stationary incompressible Navier-Stokes problem. These algo...
TWO-SCALE FINITE ELEMENT DISCRETIZATIONS FOR PARTIAL DIFFERENTIALEQUATIONS          font style='font-size:12px;'> 2007/12/12
Some two-scale finite element discretizations are introduced for a class of linear partial differential equations. Both boundary value and eigenvalue problems are studied. Based on the two-scale err...
In this paper, we study numerical approximations of a recently proposed phase field model for the vesicle membrane deformation governed by the variation of the elastic bending energy. To overcome t...
In the author's previous paper [13], a Galerkin/Least-Square type finite element method was proposed and analyzed for the stationary N-S equations. The method is consistent and stable for any combin...
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...
A SIMPLE FINITE ELEMENT METHOD FOR THE REISSNER-MINDLIN PLATE          font style='font-size:12px;'> 2007/12/11
A simple finite element method for the Reissner-Mindlin plate model in the primitive variables is presented and analyzed. The method uses conforming linear finite elements for both the transverse disp...
A NOTE ON THE FINITE ELEMENT METHOD FOR THE REISSNER-MINDLIN PLATE          font style='font-size:12px;'> 2007/12/11
In this short note we use the idea of R.Duran [5] and introduce a new low-order triangular element by replacing the nonconforming linear element for the rotation in [2] with the conforming linear elem...
A finite element method is proposed for the singularly perturbed reaction-diffusion problem. An optimal error bound is derived, independent of the perturbation parameter.
Local and Parallel Finite Element Algorithms for Eigenvalue Problems     Eigenvalue  finite element  local algorithm       font style='font-size:12px;'> 2007/12/11
Some new local and parallel finite element algorithms are proposed and analyzed in this paper for eigenvalue problems. With these algorithms, the solution of an eigenvalue problem on a fine grid is re...
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...
THE SPLITTING EXTRAPOLATION FOR FINITE ELEMENT METHOD     Splitting extrapolation  parallel algori       font style='font-size:12px;'> 2007/12/10
摘要 A new splitting extrapolation based on multivariate asymptotic expansionsof finite elemellt eraes for differellt mesh parameters is described. By means of splittingextrapolation, a far 3 scale prob...
2001Vol.36No.3pp.259-262DOI: A Note on Symplectic, Multisymplectic Scheme in Finite Element Method GUO Han-Ying,1 JI Xiao-Mei,1,2 LI Yu-Qi1 and WU Ke1 1 Institute of Th...

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