Research Article
The Local Discontinuous Galerkin Method with Generalized Alternating Flux Applied to the Second-Order Wave Equations
Table 1
The
spatial errors and order of convergence of
for Example
1.
| | | m | | | | | Error | Order | Error | Order | Error | Order |
| | 6 | 2.15E − 1 | — | 2.08E − 1 | — | 3.08E − 1 | — | | 7 | 1.80E − 2 | 3.58 | 1.72E − 2 | 3.59 | 1.88E − 2 | 4.03 | | 8 | 3.99E − 3 | 2.17 | 2.07E − 3 | 3.05 | 2.22E − 3 | 3.05 | | 9 | 3.74E − 4 | 3.41 | 2.59E − 4 | 2.99 | 2.66E − 4 | 3.09 |
| | 6 | 2.23E − 2 | — | 2.44E − 2 | — | 1.45E − 2 | — | | 7 | 1.00E − 3 | 4.47 | 3.87E − 3 | 2.96 | 8.94E − 4 | 4.02 | | 8 | 8.70E − 5 | 3.52 | 4.96E − 4 | 2.96 | 8.45E − 5 | 3.40 | | 9 | 2.92E − 6 | 4.89 | 5.78E − 5 | 3.10 | 4.84E − 6 | 4.13 |
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