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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.

  • AMS Subject Headings

65N12, 65N30, 49J20, 49K20

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COPYRIGHT: © Global Science Press

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@Article{IJNAM-10-536, author = {W. Shen, L. Ge and D. Yang}, 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 AU - W. Shen, L. Ge & D. Yang 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 and D. Yang. (2013). 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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