  In this article, we develop a posteriori error analysis of a nonconforming
finite element method for a linear quadratic elliptic distributed optimal
control problem with two different set of constraints, namely (i) integral
state constraint and integral control constraint (ii) integral state constraint
and pointwise control constraints. In the analysis, we have taken the approach
of reducing the state-control constrained minimization problem into a state
minimization problem obtained by eliminating the control variable. The
reliability and efficiency of a posteriori error estimator are discussed.
Numerical results are reported to illustrate the behavior of the error
estimator.
