Theory and Modern Applications
Table 2 Convergence order with respect to h of the stabilized method for Example 2
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) |
|---|---|---|---|---|
\(\frac{1}{16}\) | 6.02324e–2 | – | 6.43806e–1 | – |
\(\frac{1}{32}\) | 1.64189e–2 | 1.885 | 3.22031e–1 | 1.005 |
\(\frac{1}{64}\) | 4.16997e–3 | 1.996 | 1.62769e–1 | 0.994 |
\(\frac{1}{128}\) | 1.14220e–3 | 1.861 | 8.15625e–2 | 0.993 |
\(\frac{1}{256}\) | 3.02782e–4 | 1.904 | 4.07209e–2 | 0.996 |