Table 4 \(\epsilon^{(j)}_{1}\), \(\epsilon^{(j)}_{2}\), \(j=1,\ldots,N\) 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 \([1253;1538]\) for solutions \(S_{3}\) in the upper part of the table and R is in the interval \([1538;3000]\) for solutions \(S_{3}\) in the lower part of the table
From: Reduced basis method applied to a convective stability problem
j | \(\epsilon^{(j)}_{1}\) | \(\epsilon^{(j)}_{2} \) | R |
|---|---|---|---|
1 | 0.354 | 0.198 | 1253 |
2 | 0.011 | 0.002 | 1530 |
3 | 6.4⋅10−4 | 1.2⋅10−4 | 1330 |
4 | 6.5⋅10−5 | 1.2⋅10−5 | 1270 |
5 | 1.4⋅10−6 | 2.9⋅10−7 | 1450 |
6 | 2.7⋅10−7 | 5.2⋅10−8 | 1380 |
1 | 0.442 | 0.412 | 1539 |
2 | 0.018 | 0.005 | 3000 |
3 | 0.001 | 2.7⋅10−4 | 2100 |
4 | 2.4⋅10−4 | 5.2⋅10−5 | 1700 |
5 | 5.9⋅10−6 | 8.9⋅10−7 | 2600 |
6 | 5.5⋅10−7 | 2.1⋅10−7 | 1900 |