Discontinuous Galerkin Finite Element Method with Interior Penalties for Convection Diffusion Optimal Control Problem

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Volume 7, Issue 1

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

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@Article{IJNAM-7-87, author = {T. Sun}, 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 = {

}, 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 AU - T. Sun 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 -

T. Sun. (2010). 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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