Research Article
The Local Discontinuous Galerkin Method with Generalized Alternating Flux Applied to the Second-Order Wave Equations
Table 2
The
spatial errors and order of convergence of
for Example
1.
| | | m | | | | | Error | Order | Error | Order | Error | Order |
| | 6 | 1.74E − 1 | — | 2.08E − 1 | — | 3.49E − 1 | — | | 7 | 1.98E − 2 | 3.13 | 1.72E − 2 | 3.59 | 4.06E − 2 | 3.10 | | 8 | 3.01E − 3 | 2.72 | 2.07E − 3 | 3.05 | 4.00E − 3 | 3.34 | | 9 | 3.73E − 4 | 3.01 | 2.59E − 4 | 2.99 | 3.59E − 4 | 3.48 |
| | 6 | 2.25E − 2 | — | 2.44E − 2 | — | 1.25E − 2 | — | | 7 | 1.87E − 3 | 3.58 | 3.87E − 3 | 2.96 | 7.27E − 4 | 4.11 | | 8 | 1.33E − 4 | 3.81 | 4.96E − 4 | 2.96 | 6.10E − 5 | 3.58 | | 9 | 5.06E − 6 | 4.72 | 5.78E − 5 | 3.10 | 4.36E − 6 | 4.16 |
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