Xiaocui Yan

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In this paper, we study a full-discrete linear continuous finite element scheme for a class of semi linear parabolic problems with periodic initial condition. At first translating the equations into an equivalent initial-boundary problems, a full-discrete continuous finite element method with interpolated coefficients is introduced. Then choosing spatial(More)
For the parameter identification problem of parabolic partial differential equation with over specified-data, this paper put forwards the method of using the finite volume element method. We provide the numerical scheme of the unknown function and control parameters by using the finite volume element to approximate the spatial derivative of the dependent(More)
In this paper, we introduce and analyze the discontinuous finite element method for a class of delay-differential equation with a term. Based on an orthogonal expansion in an element we derive optimal super convergence u - U = O(h<sup>m+2</sup>) at the (m+1)-order characteristic points and u - U = O(h<sup>m+2</sup>) at the integer nodal points. Finally the(More)
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