Adaptive Semidiscrete Finite Element Methods for Semilinear Parabolic Integrodifferential Optimal Control Problem with Control Constraint

Table 1

Numerical results on uniform and adaptive meshes.

	On uniform mesh			On adaptive mesh
	𝑢	𝑦	𝑝	𝑢	𝑦	𝑝
Nodes	8097	8097	8097	1102	1969	1969
Sides	23968	23968	23968	3143	5744	5744
Elements	15872	15872	15872	2042	3776	3776
Dofs	15872	15872	15872	2042	3776	3776
Total 𝐿^2 error	4.312𝑒−03	5.457𝑒−3	2.869𝑒−3	4.018𝑒−03	5.365𝑒−3	2.768𝑒−3