Theory and Modern Applications
Table 1 Convergence order of the LDG method with \(\vec{\mathtt {C}}_{12}=(1, 1)\) and speed \(c=1\)
From: Error estimates of a semi-discrete LDG method for the system of damped acoustic wave equation
\(\mathtt{C}_{11}=\mathtt{C}_{22}\) | \(\sigma_{p}=\sigma_{\vec{q}}=\sigma\) | ||
|---|---|---|---|
|  | σ = 2.0 | σ = 1 | σ = 1/2 |
| Â | \(e_{h}\) | \(e_{h}\) | \(e_{h}\) |
\(\mathtt{C}_{11}=\mathtt{C}_{22}=1/5\) | 1.373 | 1.374 | 1.374 |
\(\mathtt{C}_{11}=\mathtt{C}_{22}=1/10\) | 1.453 | 1.456 | 1.458 |
\(\mathtt{C}_{11}=\mathtt{C}_{22}=1/20\) | 1.487 | 1.491 | 1.493 |