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Table 1 The numerical errors on RT0 mixed finite element for state function

From: A priori error estimates for higher order variational discretization and mixed finite element methods of optimal control problems

h

Errors

 

∥ u - u h ∥

Rate

∥ p - p h ∥

Rate

∥ y - y h ∥

Rate

∥ q - q h ∥

Rate

∥ z - z h ∥

Rate

1/16

3.63e - 02

-

3.25e - 01

-

7.24e - 02

-

1.63e - 01

-

3.63e - 02

-

1/32

1.80e - 02

1.01

1.62e - 01

1.00

3.63e - 02

0.99

8.12e - 02

1.01

1.80e - 02

1.01

1/64

9.06e - 03

0.99

8.13e - 02

0.99

1.78e - 02

1.03

4.07e - 02

1.00

9.06e - 03

0.99

1/128

4.48e - 03

1.01

4.03e - 02

1.01

8.87e - 03

1.01

2.05e - 02

0.99

4.48e - 03

1.01