摘要：The aim of this work is to study the optimality conditions and the adaptive multi-mesh fully discrete finite-element schemes for quadratic nonlinear parabolic integro-differential optimal control problems. We derive a posteriori error estimates in L 2 ( J ; H 1 ( Ω ) ) -norm and L 2 ( J ; L 2 ( Ω ) ) -norm for both the coupled state and control approximation. Such estimates can be used to construct reliable adaptive finite-element approximation for nonlinear parabolic integro-differential optimal control problems. MSC:49J20, 65N30.
关键词：nonlinear parabolic integro-differential optimal control problems ; adaptive multi-mesh finite-element methods ; a posteriori error estimates ; fully discrete
