COMPUTATION OF SUPER-CONVERGENT SOLUTIONS IN ONE-DIMENSIONAL C₁ FEM BY EEP METHOD

The newly proposed Element Energy Projection(EEP) method has been applied to computing super-convergent solutions in one-dimensional C₁ FEM in this paper.General formulas based on EEP theorem were derived and illustrative numerical examples using two typical elements were given.Both theoretical analysis and numerical examples show that the EEP method also works very well for C₁ problem and successfully gives super-convergent solutions for both displacements(deflections and rotations) and stresses(bending moments and shear forces) at any point on an element,and the accuracy of so-calculated solutions is well comparable to that of nodal displacements.Furthermore,the natural boundary conditions are exactly satisfied automatically by the EEP method.