1、Furthermore, the global superconvergence is obtained through post-processing technique.

2、In the section three, the derivative superconvergence at optimal stress points is showed theoretically and prove the superconvergence at nodes for the simply case.

3、It has the same superconvergence as that classical finite element method, but more economic and efficient.

4、At the same time, based on the interpolated postprocessing technique, the global superconvergence is obtained.

5、Numerical experimentation have not only proved the theoretical result but also found out superconvergence of higher order.

6、The superconvergence of an improved vortex lattice method for a two-dimensional flat plate has been verified theoretically.

7、Secondly, by means of a superapproximation and interpolation postprocessing analysis technique, here we present optimal estimates and global superconvergence in the L2-norm for this method.

8、For the first time this paper makes a systematic study about superconvergence of interpolated coefficients finite element method for many semilinear problems and obtains rather integrated results.

9、In ha peper, a four-degree triangle nonconforming membrance element is considered and the global superconvergence estmates, the extrapolation and the defect correction schemes are presented.

10、The main purpose is to introduce a newly published book the preprocessing and postprocessing for the finite element method was introduced, including superconvergence, preliminary treatment, expansion, correction, posterior estimate, selfadaptive processing and eigenvalue problem etc.