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

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.

  • AMS Subject Headings

65N12, 65N30, 49J20, 49K20

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-10-536, author = {}, title = {Finite Element Methods for Optimal Control Problems Governed by Linear Quasi-Parabolic Integro-Differential Equations}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2013}, volume = {10}, number = {3}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/581.html} }
TY - JOUR T1 - Finite Element Methods for Optimal Control Problems Governed by Linear Quasi-Parabolic Integro-Differential Equations JO - International Journal of Numerical Analysis and Modeling VL - 3 SP - 536 EP - 550 PY - 2013 DA - 2013/10 SN - 10 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/581.html KW - optimal control, linear quasi-parabolic integro-differential equations, optimality conditions, finite element methods, a priori error estimate. AB -

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.

W. Shen, L. Ge & D. Yang. (1970). Finite Element Methods for Optimal Control Problems Governed by Linear Quasi-Parabolic Integro-Differential Equations. International Journal of Numerical Analysis and Modeling. 10 (3). 536-550. doi:
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