Theory and Modern Applications
Table 3 Convergence order with respect to h of the stabilized method for Example 3 with coefficient functions
From: A stabilized coupled method and its optimal error estimates for elliptic interface problems
h | \(\|\mathbf{u}-\mathbf{u}_{h}\|_{0}\) | Order (h) | \(\|\mathbf{u}-\mathbf{u}_{h}\|_{1}\) | Order (h) |
|---|---|---|---|---|
\(\frac{1}{16}\) | 4.14523e–3 | – | 1.78752e–1 | – |
\(\frac{1}{32}\) | 8.37080e–4 | 2.313 | 9.03064e–2 | 0.987 |
\(\frac{1}{64}\) | 1.91750e–4 | 2.114 | 4.41597e–2 | 1.026 |
\(\frac{1}{128}\) | 4.17206e–5 | 2.144 | 2.22359e–2 | 0.964 |
\(\frac{1}{256}\) | 1.00927e–5 | 2.078 | 1.11664e–2 | 1.008 |