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Table 4 Errors and computational time of the two-grid method with \(RT_{0}\) 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)

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