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Table 6 Comparison of relative error in energy norm for different interface locations between the different enrichment functions for linear 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

2.38688E−01

3.26389E−15

2.38688E−01

12.4

2.42403E−01

4.30236E−15

2.42403E−01

12.5

2.45626E−01

2.82096E−15

2.45626E−01

12.6

2.48370E−01

5.19794E−15

2.48370E−01

12.7

2.50650E−01

6.25056E−15

2.50650E−01