• Abstract

In this paper, we study the mathematical formulation for an optimal control problem governed by a linear parabolic integro-differential equation and present the optimality conditions. We then set up its weak formulation and the finite element approximation scheme. Based on these we derive the a priori error estimates for its finite element approximation both in $H^1$ and $L^2$ norms. Furthermore some numerical tests are presented to verify the theoretical results.

• History

• Keywords

Optimal control, linear parabolic integro-differential equations, optimality conditions, finite element methods, a priori error estimate

• AMS Subject Headings

65N30, 65R20

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