Table 3 Errors and computational time of the EMFEM with \(RT_{0}\) element
From: Convergence analysis of two-grid methods for second order hyperbolic equation
h | \(\Vert u-u_{h} \Vert \) | \(\Vert \boldsymbol{\widetilde{p}}-\boldsymbol{\widetilde{p}}_{h} \Vert \) | \(\Vert \boldsymbol{p}-\boldsymbol{p}_{h} \Vert \) | Computing time (s) |
|---|---|---|---|---|
2−2 | 4.2443e−3 | 1.5198e−2 | 1.5957e−2 | 0.37 |
2−4 | 1.1176e−3 | 4.0412e−3 | 4.2548e−3 | 4.92 |
2−6 | 2.9495e−4 | 1.0679e−3 | 1.1212e−3 | 96.09 |
2−8 | 7.6126e−5 | 2.8173e−4 | 2.9416e−4 | 816.48 |
Rates | 1.0 | 1.0 | 1.0 | Â |