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Volume 7, Issue 4
The Local Discontinuous Galerkin Method for Optimal Control Problem Governed by Convection Diffusion Equations

Z. Zhou & N. Yan

Int. J. Numer. Anal. Mod., 7 (2010), pp. 681-699.

Published online: 2010-07

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  • Abstract

In this paper we analyze the Local Discontinuous Galerkin (LDG) method for the constrained optimal control problem governed by the unsteady convection diffusion equations. A priori error estimates are obtained for both the state, the adjoint state and the control. For the discretization of the control we discuss two different approaches which have been used for elliptic optimal control problem.

  • Keywords

Local Discontinuous Galerkin method, unsteady convection diffusion equations, constrained optimal control problem, a priori error estimate.

  • AMS Subject Headings

65N30

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-7-681, author = {Z. Zhou and N. Yan}, title = {The Local Discontinuous Galerkin Method for Optimal Control Problem Governed by Convection Diffusion Equations}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2010}, volume = {7}, number = {4}, pages = {681--699}, abstract = {

In this paper we analyze the Local Discontinuous Galerkin (LDG) method for the constrained optimal control problem governed by the unsteady convection diffusion equations. A priori error estimates are obtained for both the state, the adjoint state and the control. For the discretization of the control we discuss two different approaches which have been used for elliptic optimal control problem.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/746.html} }
TY - JOUR T1 - The Local Discontinuous Galerkin Method for Optimal Control Problem Governed by Convection Diffusion Equations AU - Z. Zhou & N. Yan JO - International Journal of Numerical Analysis and Modeling VL - 4 SP - 681 EP - 699 PY - 2010 DA - 2010/07 SN - 7 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/746.html KW - Local Discontinuous Galerkin method, unsteady convection diffusion equations, constrained optimal control problem, a priori error estimate. AB -

In this paper we analyze the Local Discontinuous Galerkin (LDG) method for the constrained optimal control problem governed by the unsteady convection diffusion equations. A priori error estimates are obtained for both the state, the adjoint state and the control. For the discretization of the control we discuss two different approaches which have been used for elliptic optimal control problem.

Z. Zhou and N. Yan. (2010). The Local Discontinuous Galerkin Method for Optimal Control Problem Governed by Convection Diffusion Equations. International Journal of Numerical Analysis and Modeling. 7 (4). 681-699. doi:
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