Adaptive Finite Element Method for Optimal Control Problem Governed by Linear Quasiparabolic Integrodifferential Equations

Abstract EN

The mathematical formulation for a quadratic optimal control problem governed by a linear quasiparabolic integrodifferential equation is studied.

The control constrains are given in an integral sense: Uad={u∈X;∫ΩUu⩾0, t∈[0,T]}.

Then the a posteriori error estimates in L∞(0,T;H1(Ω))-norm and L2(0,T;L2(Ω))-norm for both the state and the control approximation are given.