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Fig. 31 | Advanced Modeling and Simulation in Engineering Sciences

Fig. 31

From: On the construction of approximation space to model discontinuities and cracks with linear and quadratic extended finite elements

Fig. 31

Comparison between double node interpolation and ghost node interpolation for an arbitrary function. The ghost node method uses the same element to interpolate both extrapolated branches. In contrast, the double node refines the mesh around the discontinuity. Thus, the double node is twice more accurate than the ghost node, but it requires a meshing of the interface (a strategy not relevant in the framework of X-FEM/GFEM)

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