Analysis of a non-standard mixed finite element method with applications to superconvergence

The gradient superconvergence of the finite volume method for a nonlinear elliptic problem of nonmonotone type

“…Superconvergence of the finite element method has long been an active research area in scientific computation, since it is of practical importance in enhancing the accuracy of numerical solutions [3], [1], [2], [8], [10], [9], [27], [31], [33], [35]. At present, many superconvergence results have also been obtained for the finite volume method.…”