Abstract:
A new conforming expanded mixed finite element scheme is developed for nonlinear Sobolev equation with element pair of the bilinear element
Q11and zero order Nédélec element
Q01×
Q10. By use of the high accuracy characteristics of this element pair, and through the approach of combination of interpolation and projection, mean-value trick and the interpolated post-processing technique, the supercloseness and superconvergence results of relevant variables are derived for the semi-discrete and second order fully-discrete schemes. At the same time, a numerical example is provided to confirm the correctness of the theoretical analysis.