Volume 10, Issue 3
Finite Element Methods for Optimal Control Problems Governed by Linear Quasi-parabolic Integro-differential Equations

W. Shen, L. Ge & D. Yang

DOI:

Int. J. Numer. Anal. Mod., 10 (2013), pp. 536-550

Published online: 2013-10

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  • Abstract

In this paper, the mathematical formulation for a quadratic optimal control problem governed by a linear quasi-parabolic integro-differential equation is studied, the optimality conditions are derived, and then the a priori error estimate for its finite element approximation is given. Furthermore some numerical tests are performed to verify the theoretical results.

  • Keywords

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

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