Automatic Adaptive Finite Element Enrichement using Interpolation Cover Functions

In this paper, a method is proposed to improve the results of the standard finite element method. L2 norm is used to determine the nodal error. In the next step, the appropriate order of the interpolation cover is seclected to be proportional to the nodal error and the results are corrected. The error computation procedure and the use of covering enrichment functions will continue until the error reaches 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 the standard interpolation for each element. Computation rules are programmed in the matlab program and considered for the same examples. Comparison of the results of the proposed method with the exact solutions and the results of the methods proposed by the other researchers in the field of linear elasticity indicates the efficiency and accuracy of the proposed method.