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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...
In an earlier paper, we presented an iterative algorithm for reconstructing a three dimensional density function from a set of two dimensional electron microscopy images. By minimizing an energy fun...
In this paper, we present a novel L2-gradient flow based semi-implicit finite element method for solving a variational model of image reconstruction under various data scenarios, especially for the ...
We propose a condition under which the heterogeneous multiscale ite element method converges for elliptic problem with nonsmooth coe眂ients, and obtain the optimal convergence rate for elliptic prob...
An integro-differential equation of hyperbolic type, with mixed boundary conditions, is considered. A continuous space-time finite element method of degree one is formulated. A posteriori error repres...
Abstract: In this paper, the linear free flexural vibration of cracked functionally graded material plates is studied using the extended finite element method. A 4-noded quadrilateral plate bending el...
Abstract: This letter aims at resolving the issues raised in the recent short communication [1] and answered by [2] by proposing a systematic approximation scheme based on non-mapped shape functions, ...
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...
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...
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...
In this paper, a mortar element method is presented for coupling natural boundary element method and nite element method for the Dirichlet exterior problem. Optimal error estimate is obtained and so...
In this paper, some V-cycle multigrid algorithms are presented for the coupling system arising from discretization the Dirichlet exterior problem by coupling the natural boundary element method and n...
Based on the analysis of [7] and [10], we present the mixed nite element approximation of the variational inequality resulting from the contact problem in elasticity. The convergence rate of the stre...
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...

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