Nonconforming Finite Element Approximation Of The Stokes Problem

The nonconforming Wilson element is used to solve the Stokes problem, which extends the applied range of the Wilson element. Although the element does not satisfy the inf-sup condition, it still can be used to compute the displacement successfully. Some techniques are applied so that both the displacement and the press converge. We also analyze the quasi-Wilson element and five-parameter element, which can be used to solve the Stokes problem.