| Recently, Meng, Sheen, Luo have constructed a new low order nonconforming finite element for cubic, to solve the three-dimensional2-elliptic boundary problem. This paper has used this element which was just introduced and the nonconforming P1element to generate a new mixed element pair for solving the Stokes problem. And to meet the LBB condition, we enriched this nonconforming element by a bubble function. Then, we have proved that it satisfied the LBB condition and the error estimates of optimal order have derived for both velocity and pressure. At last, we have given some numerical results to show the correctness of the theory beyond. Comparing with other method in this field, we have far less freedom degrees. |
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