Table 1 The \(\pmb{L^{2}}\) errors and the order of the LDG method with the piecewise \(\pmb{P^{1}}\) space at \(\pmb{T=1}\)
N | \(\boldsymbol {e_{u}}\) | \(\boldsymbol{\xi_{u}}\) | ||
|---|---|---|---|---|
\(\boldsymbol{L^{2}}\) error | Order | \(\boldsymbol {L^{2}}\) error | Order | |
10 | 0.0283 | - | 0.0030 | - |
20 | 0.0073 | 1.9485 | 3.7684e-04 | 2.9757 |
40 | 0.0018 | 2.0136 | 5.4173e-05 | 2.9889 |
80 | 4.7371e-04 | 1.9365 | 7.2521e-06 | 2.9011 |