By using the integral identities and the interpolation postprocessing technique,the higher accuracy approximation of the anisotropic nonconforming Carey element for solving the Sobolev type equations is investigated.

A semi-discrete mixed finite element method for Sobolev equation;

High accuracy analysis for Sobolev equation with anisotropic bilinear and biquaratic elements;

A fully discrete error estimate of H~1-Galerkin mixed finite element methods for the Sobolev equation is discussed.

L~∞ estimates for expanded mixed finite element methods for the Sobolev equations

The anisotropic rectangular nonconforming finite element method to Sobolev equations is discussed under semi-discrete and full discrete schemes,the corresponding optimal convergence error estimates and superclose property are derived,which are the same as the traditional conforming finite elements.

In this paper,two splitting least-squares mixed element methods are proposed to simu- late a class of linear Sobolev equations.

A semi-discrete H1-Galerkin mixed finite element method for a linear Sobolev equation is given,and optimal error estimates between the approximation solution and the exact solution in L2-norm,H1-norm and Lp-norm are obtained by error analysis.