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Fig. 8 | Advanced Modeling and Simulation in Engineering Sciences

Fig. 8

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

Fig. 8

1D case with X-FEM interface and linear elements. Left, the three elements used in the model. Right, the analytical solution expected. The use of a discontinuous function is possible because discontinuous degrees of freedom bear Neumann conditions that enforce the continuity of the solution (as in a contact problem with Lagrange multipliers at the interface)

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