Table 2 \(\epsilon^{(j)}_{1}\), \(\epsilon^{(j)}_{2}\), \(j=1,\ldots,N\) 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 \([1102;3000]\) for solutions \(S_{1}\)
From: Reduced basis method applied to a convective stability problem
j | \(\epsilon^{(j)}_{1}\) | \(\epsilon^{(j)}_{2} \) | R |
|---|---|---|---|
1 | 0.809 | 0.236 | 1102 |
2 | 0.085 | 0.0.009 | 3000 |
3 | 0.008 | 0.001 | 1500 |
4 | 0.003 | 4.7⋅10−4 | 2200 |
5 | 3.3⋅10−4 | 6.7⋅10−5 | 1110 |
6 | 1.1⋅10−4 | 1.7⋅10−5 | 2700 |
7 | 1.7⋅10−5 | 2.7⋅10−6 | 1900 |
8 | 2.8⋅10−6 | 4.1⋅10−7 | 1800 |
9 | 1.8⋅10−7 | 1.7⋅10−8 | 1300 |