Discontinuous Galerkin Finite Element Method with Interior Penalties for Convection Diffusion Optimal Control Problem
Year: 2010
International Journal of Numerical Analysis and Modeling, Vol. 7 (2010), Iss. 1 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2010-IJNAM-711
International Journal of Numerical Analysis and Modeling, Vol. 7 (2010), Iss. 1 : pp. 87–107
Published online: 2010-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: Discontinuous Galerkin method convection-diffusion equation optimal control problem a priori error estimates a posteriori error estimates.