AN ELEMENT-ENERGY-PROJECTION METHOD FOR POST-COMPUTATION OF SUPER-CONVERGENT SOLUTIONS IN ONE-DIMENSIONAL FEM
The present paper presents, for one-dimensional FEM at the present stage, a natural and rational approach called Element Energy Projection (EEP) method for super-convergent calculation of both displacements and stresses at any point in an element in post-processing stage. The proposed method is simple, effective and efficient. A large number of numerical examples consistently show that the accuracy of both displacements and stresses so calculated is well comparable to that of the nodal displacements, i.e. being of order mh2 for elements of degree m with sufficiently smooth solutions.