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Theory and Modern Applications

Table 2 DOF, the energy-error and L2-error using sXFEM with different impact radius r

From: The stable extrinsic extended finite element method for second order elliptic equation with interfaces

2/ h

r

DOF

\(\boldsymbol {\|u-u_{h}\|_{0}}\)

\(\boldsymbol {\|u-u_{h}\|_{E}}\)

51

0.05

2720

7.62956091 × 10−5

1.03929952 × 10−2

51

0.1

2800

7.63216118 × 10−5

1.03929961 × 10−2

51

0.2

3024

7.64345134 × 10−5

1.03929957 × 10−2

51

0.3

3456

8.01596131 × 10−5

1.03930097 × 10−2