Table 5 \(\epsilon^{(j)}_{1}\), \(\epsilon^{(j)}_{2}\), \(j=1,\ldots,N\) and the respective Rayleigh number R in which the maximum takes place for different dimensions j of the reduced basis space. R is in the interval \([1538;3000]\) for solutions \(S_{5}\)
From: Reduced basis method applied to a convective stability problem
j | \(\epsilon^{(j)}_{1}\) | \(\epsilon^{(j)}_{2} \) | R |
|---|---|---|---|
1 | 2.365 | 1.000 | 1539 |
2 | 0.290 | 0.162 | 3000 |
3 | 0.035 | 0.010 | 1800 |
4 | 0.010 | 0.003 | 2300 |
5 | 0.001 | 4.7⋅10−4 | 1580 |
6 | 3.9⋅10−4 | 7.2⋅10−5 | 2700 |
7 | 1.1⋅10−4 | 3.1⋅10−5 | 1550 |
8 | 1.6⋅10−5 | 4.4⋅10−6 | 2000 |
9 | 2.3⋅10−6 | 8.6⋅10−7 | 1700 |
10 | 3.9⋅10−7 | 9.4⋅10−8 | 2900 |