Research Article

Adaptive Mixed Finite Element Methods for Parabolic Optimal Control Problems

Table 1

Numerical results on uniform and adaptive meshes.

On uniform mesh On adaptive mesh
𝑢 𝑦 𝑧 𝑢 𝑦 𝑧

Nodes 8097 8097 8097 1089 1393 1393
Sides 239682396823968 2825 3819 3819
Elements 15872 15872 15872 63482423 2423
Dofs 15872 15872 158726348 2423 2423
Total 𝐿 2 error 6 . 9 1 5 e 0 3 4 . 0 6 5 e 3 4 . 0 1 8 𝑒 3 6 . 5 2 7 e 0 3 4 . 3 4 6 e 3 4 . 3 2 3 e 3