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) | 4.4721e−3 | 1.6902e−2 | 1.7111e−2 | 0.58 |
(2−2,2−4) | 1.1817e−3 | 4.4975e−3 | 4.5216e−3 | 1.61 |
(2−3,2−6) | 3.0799e−4 | 1.1758e−3 | 1.1948e−3 | 23.76 |
(2−4,2−8) | 7.9547e−5 | 3.0644e−4 | 3.1401e−4 | 227.14 |
Rates | 1.0 | 1.0 | 1.0 | Â |