Research Article
The Local Discontinuous Galerkin Method with Generalized Alternating Flux Applied to the Second-Order Wave Equations
Table 3
The
spatial errors and order of convergence of
for Example
2.
| | | m | | | | | Error | Order | Error | Order | Error | Order |
| | 6 | 1.19E − 3 | — | 7.80E − 4 | — | 1.67E − 3 | — | | 7 | 1.41E − 4 | 3.07 | 9.59E − 5 | 3.02 | 2.20E − 4 | 2.92 | | 8 | 1.71E − 5 | 3.05 | 1.20E − 5 | 3.00 | 1.95E − 5 | 3.49 | | 9 | 2.30E − 6 | 2.89 | 1.52E − 6 | 2.97 | 1.59E − 6 | 3.60 |
| | 4 | 4.54E − 5 | — | 1.78E − 4 | — | 1.99E − 5 | — | | 5 | 3.37E − 6 | 3.75 | 2.82E − 5 | 2.66 | 1.17E − 6 | 4.09 | | 6 | 3.02E − 7 | 3.48 | 3.60E − 6 | 2.97 | 8.13E − 8 | 3.85 | | 7 | 2.79E − 8 | 3.44 | 5.29E − 7 | 2.77 | 4.69E − 9 | 4.11 |
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