Table 2 Errors and computational time of the two-grid method with \(RT_{1}\) element
From: Convergence analysis of two-grid methods for second order hyperbolic equation
(H,h) | \(\Vert u-\mathcal{U}_{h} \Vert \) | \(\Vert \boldsymbol{\widetilde{p}}-\boldsymbol{\widetilde{\mathcal{P}}}_{h} \Vert \) | \(\Vert \boldsymbol{p}-\boldsymbol{\mathcal{P}}_{h} \Vert \) | Computing time (s) |
|---|---|---|---|---|
(2−1,2−2) | 1.8843e−2 | 9.4908e−2 | 9.5169e−2 | 0.71 |
(2−2,2−4) | 1.3341e−3 | 6.8325e−3 | 6.9089e−3 | 1.95 |
(2−3,2−6) | 9.3167e−5 | 4.8378e−4 | 4.8919e−4 | 29.84 |
(2−4,2−8) | 6.5058e−6 | 3.4161e−5 | 3.4732e−5 | 377.51 |
Rates | 2.0 | 2.0 | 2.0 | Â |