In this paper, researcher presented a method is proposed to improve the answers of the standard finite element method. L2 error norm is used to determine nodal error in each node. In the next step, the appropriate order of the interpolation cover is selected proportional to the nodal error and the answers are corrected. The error computation procedure and the use of covering enrichment functions will continue until the error reaches to the specified value.
Cover enrichment interpolation functions will consider the effects of the adjacent elements of each node, in addition to the values obtained from standard interpolation for each element. Computation roles are programmed in matlab program and considered for same examples. Comparison of the results of the proposed method with the exact answers and the answers of the methods proposed by the other researchers in the field of linear elasticity, suggests the efficiency and accuracy of the proposed method.