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Table 7 Comparison of relative error in energy norm for different interface locations between the different enrichment functions for quadratic elements used in the bi-material bar problem (results obtained with E1 = 2.05 MPa, E2 = 20.5 MPa, L = 25 m and \(\bar{u} =3 \cdot 10^{-6} \)m)

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

Interface location

Sukumar

Moës

Belytschko

12.3

8.37168E−02

2.19329E−14

8.37168E−02

12.4

8.02193E−02

2.72702E−14

8.02193E−02

12.5

7.62151E−02

3.39596E−12

7.62151E−02

12.6

7.17862E−02

1.85735E−14

7.17862E−02

12.7

6.70550E−02

1.43340E−14

6.70550E−02