Table 3 \(\epsilon^{(j)}_{1}\), \(\epsilon^{(j)}_{2}\), \(j=1,\ldots,N\) 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 \([1253;3000]\) for solutions \(S_{3}\)
From: Reduced basis method applied to a convective stability problem
j | \(\epsilon^{(j)}_{1}\) | \(\epsilon^{(j)}_{2} \) | R |
|---|---|---|---|
1 | 0.748 | 0.588 | 1253 |
2 | 0.056 | 0.015 | 3000 |
3 | 0.007 | 0.001 | 1600 |
4 | 0.002 | 2.5⋅10−4 | 2200 |
5 | 1.1⋅10−4 | 3.5⋅10−5 | 1300 |
6 | 2.6⋅10−5 | 7.4⋅10−6 | 2700 |
7 | 4.6⋅10−6 | 7.5⋅10−7 | 1400 |
8 | 7.0⋅10−7 | 9.6⋅10−8 | 1260 |