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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...
A finite element method is proposed for the singularly perturbed reaction-diffusion problem. An optimal error bound is derived, independent of the perturbation parameter.
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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