Table 6 \(\epsilon^{(j)}_{1}\), \(\epsilon^{(j)}_{2}\), \(j=1,\ldots,N\) 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 \([1539;1600]\) for solutions \(S_{5}\) in the first part of the table, R is in the interval \([1600;2000]\) for solutions \(S_{5}\) in the second part of the table and R is in the interval \([2000;3000]\) for solutions \(S_{5}\) in the last part of the table
From: Reduced basis method applied to a convective stability problem
j | \(\epsilon^{(j)}_{1}\) | \(\epsilon^{(j)}_{2} \) | R |
|---|---|---|---|
1 | 0.785 | 0.265 | 1539 |
2 | 0.016 | 0.006 | 1600 |
3 | 3.1⋅10−4 | 8.5⋅10−4 | 1560 |
4 | 4.4⋅10−5 | 1.1⋅10−5 | 1545 |
5 | 1.1⋅10−6 | 3.0⋅10−7 | 1585 |
6 | 7.2 ⋅10−7 | 2.0⋅10−8 | 1541 |
1 | 1.154 | 0.683 | 1600 |
2 | 0.050 | 0.026 | 2000 |
3 | 0.003 | 6.6⋅10−4 | 1740 |
4 | 3.5⋅10−4 | 1.2⋅10−4 | 1880 |
5 | 1.3⋅10−5 | 7.8⋅10−6 | 1640 |
6 | 2.7⋅10−6 | 6.4⋅10−7 | 1940 |
7 | 2.4⋅10−7 | 5.0⋅10−8 | 1610 |
1 | 0.834 | 0.554 | 2000 |
2 | 0.039 | 0.022 | 3000 |
3 | 0.002 | 7.0⋅10−4 | 2380 |
4 | 3.4⋅10−4 | 8.9⋅10−5 | 2700 |
5 | 1.2⋅10−5 | 4.0⋅10−6 | 2120 |
6 | 2.4⋅10−6 | 9.2⋅10−7 | 2880 |
7 | 1.3⋅10−7 | 4.6⋅10−8 | 2040 |