Theory and Modern Applications
Table 1 The error of \(\|\boldsymbol{u}^{r}-U^{r}\|\) and \(\|\boldsymbol{u}^{r}-U^{r}\|_{\infty}\) with \(r=500\)
h | \(\|\boldsymbol{u}^{r}-U^{r}\|\) | Rate | \(\|\boldsymbol{u}^{r}-U^{r}\|_{\infty}\) | Rate |
|---|---|---|---|---|
1/30 | 3.3505e–06 | – | 6.7561e–06 | – |
1/60 | 8.3413e–07 | 2.0060 | 1.6918e–06 | 1.9976 |
1/120 | 1.8260e–07 | 2.1916 | 3.6293e–07 | 2.2208 |
1/240 | 4.7483e–08 | 1.9432 | 7.6760e–08 | 2.2413 |