Volume 7, Issue 1
Discontinuous Galerkin Finite Element Method with Interior Penalties for Convection Diffusion Optimal Control Problem

T. Sun

Int. J. Numer. Anal. Mod., 7 (2010), pp. 87-107.

Published online: 2010-07

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  • Abstract

In this paper, a discontinuous Galerkin finite element method with interior penalties for convection-diffusion optimal control problem is studied. A semi-discrete time DG scheme for this problem is presented. We analyze the stability of this scheme, and derive a priori and a posteriori error estimates for both the state and the control approximation.

  • Keywords

Discontinuous Galerkin method, convection-diffusion equation, optimal control problem, a priori error estimates, a posteriori error estimates.

  • AMS Subject Headings

65N30, 49J20

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-7-87, author = {}, title = {Discontinuous Galerkin Finite Element Method with Interior Penalties for Convection Diffusion Optimal Control Problem}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2010}, volume = {7}, number = {1}, pages = {87--107}, abstract = {

In this paper, a discontinuous Galerkin finite element method with interior penalties for convection-diffusion optimal control problem is studied. A semi-discrete time DG scheme for this problem is presented. We analyze the stability of this scheme, and derive a priori and a posteriori error estimates for both the state and the control approximation.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/711.html} }
TY - JOUR T1 - Discontinuous Galerkin Finite Element Method with Interior Penalties for Convection Diffusion Optimal Control Problem JO - International Journal of Numerical Analysis and Modeling VL - 1 SP - 87 EP - 107 PY - 2010 DA - 2010/07 SN - 7 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/711.html KW - Discontinuous Galerkin method, convection-diffusion equation, optimal control problem, a priori error estimates, a posteriori error estimates. AB -

In this paper, a discontinuous Galerkin finite element method with interior penalties for convection-diffusion optimal control problem is studied. A semi-discrete time DG scheme for this problem is presented. We analyze the stability of this scheme, and derive a priori and a posteriori error estimates for both the state and the control approximation.

T. Sun. (1970). Discontinuous Galerkin Finite Element Method with Interior Penalties for Convection Diffusion Optimal Control Problem. International Journal of Numerical Analysis and Modeling. 7 (1). 87-107. doi:
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