Table 1 Errors and computational time of the EMFEM with \(RT_{1}\) 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 | 1.8758e−2 | 9.4517e−2 | 9.4822e−2 | 0.54 |
2−4 | 1.3067e−3 | 6.6139e−3 | 6.6214e−3 | 5.27 |
2−6 | 9.2041e−5 | 4.6862e−4 | 4.6851e−4 | 121.78 |
2−8 | 6.3792e−6 | 3.2754e−5 | 3.2967e−5 | 1470.35 |
Rates | 2.0 | 2.0 | 2.0 | Â |