Table 4 The numerical error 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 | 1.55e - 03 | - | 5.68e - 03 | - | 1.55e - 03 | - | 5.68e - 03 | - | 1.55e - 03 | - |
1/32 | 3.88e - 04 | 2.00 | 1.43e - 03 | 2.00 | 3.88e - 04 | 2.00 | 1.43e - 03 | 2.00 | 3.88e - 04 | 2.00 |
1/64 | 9.69e - 05 | 2.00 | 3.58e - 04 | 1.99 | 9.69e - 05 | 2.00 | 3.58e - 04 | 1.99 | 9.66e - 05 | 2.00 |
1/128 | 2.43e - 05 | 1.99 | 8.96e - 05 | 2.00 | 2.43e - 05 | 1.99 | 8.97e - 05 | 2.00 | 2.42e - 05 | 1.99 |