Table 2 The numerical results of the LDG method with the piecewise \(\pmb{P^{2}}\) space at \(\pmb{T=0.1}\)
N | \(\boldsymbol {e_{u}}\) | \(\boldsymbol{\xi_{u}}\) | ||
|---|---|---|---|---|
\(\boldsymbol{L^{2}}\) error | Order | \(\boldsymbol {L^{2}}\) error | Order | |
10 | 0.00168 | - | 5.2129e-04 | - |
20 | 1.9712e-04 | 3.0985 | 3.1025e-05 | 4.0705 |
40 | 2.4428e-05 | 3.0124 | 2.0038e-06 | 3.9526 |