Table 2 The numerical errors on RT1 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 | 1.25e - 03 | - | 7.13e - 03 | - | 2.50e - 03 | - | 3.53e - 03 | - | 1.25e - 03 | - |
1/32 | 3.13e - 04 | 2.00 | 1.76e - 03 | 2.02 | 6.24e - 04 | 2.00 | 8.82e - 04 | 2.00 | 3.13e - 04 | 2.00 |
1/64 | 7.68e - 05 | 2.02 | 4.43e - 04 | 1.99 | 1.56e - 04 | 2.00 | 2.23e - 04 | 1.98 | 7.68e - 05 | 2.02 |
1/128 | 1.90e - 05 | 2.01 | 1.12e - 04 | 1.98 | 3.89e - 05 | 2.00 | 5.52e - 05 | 2.01 | 1.90e - 05 | 2.01 |