Theory and Modern Applications
Table 1 DOF, the energy-error and L2-error using sXFEM for different step, impact radius \(\pmb{r=0.1}\)
2/ h | DOF | \(\boldsymbol {\|u-u_{h}\|_{0}}\) | \(\mathbf{order}_{\boldsymbol {L2}}\) | \(\boldsymbol {\|u-u_{h}\|_{E}}\) | \(\mathbf{order}_{\boldsymbol {E}}\) |
|---|---|---|---|---|---|
19 | 416 | 3.14410816 × 10−4 | ∖ | 2.88823845 × 10−2 | ∖ |
39 | 1648 | 1.31537498 × 10−4 | 2.1536 | 1.36757789 × 10−2 | 1.0785 |
79 | 6608 | 3.14410816 × 10−5 | 2.0647 | 6.66191594 × 10−3 | 1.0376 |
159 | 26432 | 8.09627168 × 10−6 | 1.9573 | 3.28872649 × 10−3 | 1.0184 |