Year: 2009
Journal of Computational Mathematics, Vol. 27 (2009), Iss. 2-3 : pp. 237–253
Abstract
In this paper, we study variational discretization for the constrained optimal control problem governed by convection dominated diffusion equations, where the state equation is approximated by the edge stabilization Galerkin method. A priori error estimates are derived for the state, the adjoint state and the control. Moreover, residual type a posteriori error estimates in the $L^2$-norm are obtained. Finally, two numerical experiments are presented to illustrate the theoretical results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-JCM-8570
Journal of Computational Mathematics, Vol. 27 (2009), Iss. 2-3 : pp. 237–253
Published online: 2009-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Constrained optimal control problem Convection dominated diffusion equation Edge stabilization Galerkin method Variational discretization A priori error estimate A posteriori error estimate.