Abstract: Superconvergent solution can be obtained from finite element (FE) solution by using a p-type superconvergent recovery scheme. The recovered superconvergent solution is used to estimate the error of FE solution in place of the exact solution. The Zienkiewicz mesh refinement strategy is improved by making small adjustments. Based on reliable error estimation and efficient mesh refinement, adaptive process can be conducted successfully. Numerical experiments show that the adaptive scheme can produce excellent mesh and solution.