Finite Element Methods for Optimal Control Problems Governed by Linear Quasi-Parabolic Integro-Differential Equations

Finite Element Methods for Optimal Control Problems Governed by Linear Quasi-Parabolic Integro-Differential Equations

Year:    2013

International Journal of Numerical Analysis and Modeling, Vol. 10 (2013), Iss. 3 : pp. 536–550

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2013-IJNAM-581

International Journal of Numerical Analysis and Modeling, Vol. 10 (2013), Iss. 3 : pp. 536–550

Published online:    2013-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

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