Table 3 The numerical error on RT0 mixed finite element for state function
h | Errors | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
∥ u - u h ∥ | Rate | ∥ p - p h ∥ | Rate | ∥ y - y h ∥ | Rate | ∥ q - q h ∥ | Rate | ∥ z - z h ∥ | Rate | |
1/16 | 3.66e - 02 | - | 1.63e - 01 | - | 3.67e - 02 | - | 1.63e - 01 | - | 3.66e - 02 | - |
1/32 | 1.79e - 02 | 1.03 | 8.14e - 02 | 1.00 | 1.79e - 02 | 1.04 | 8.14e - 02 | 1.00 | 1.79e - 02 | 1.03 |
1/64 | 8.94e - 03 | 0.99 | 4.09e - 02 | 0.99 | 8.94e - 03 | 0.99 | 4.09e - 02 | 0.99 | 8.94e - 03 | 0.99 |
1/128 | 4.50e - 03 | 0.99 | 2.04e - 02 | 1.00 | 4.46e - 03 | 1.00 | 2.04e - 02 | 1.00 | 4.50e - 03 | 0.99 |