| Quasi-Wilson element is an improved form of Wilson element, which passes Irons patch test and is convergent for arbitrary quadrilateral meshes. Meanwhile the shape function of this element is independent of element's geometry. In this paper, an optimal W-cycle multigrid method using Qusi-Wilson element for arbitrary quadrilateral meshes is presented. We verify that the multigrid method for Quasi-Wilson element to solve boundary value problem of the second order elliptic equation has the optimal convergence order. |
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