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| Study of the coupled discretization of quadratically consistent meshfree and finite element methods |
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Abstract A coupled discretization scheme of meshfree methods using second-order basis and quadratic finite elements is proposed in the framework of continuous blending method (CBM). An additional node on the center of each edge on the boundary is introduced in the proposed scheme such that the essential boundary conditions can be straightforwardly enforced as in the finite element method. The Galerkin weak form is numerically integrated by the quadratically consistent 3-point (QC3) integration method. In comparison to the Nitsche's method originally used in QC3 to enforce essential boundary conditions, the proposed scheme does not introduce additional terms into the weak form and no artificial parameters are involved. In addition, numerical results also show that the accuracy of the QC3 method is further improved by the proposed coupled scheme.
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Received: 29 September 2013
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2014, Vol. 35 
