Error analysis for optimal control problem governed by convection diffusion equations: DG method

Error analysis for optimal control problem governed by convection diffusion equations: DG method

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Article ID: iaor20112765
Volume: 235
Issue: 10
Start Page Number: 3163
End Page Number: 3177
Publication Date: Mar 2011
Journal: Journal of Computational and Applied Mathematics
Authors: ,
Keywords: optimization, programming: nonlinear
Abstract:

In the current paper, we study the convergence properties of the DGFE approximation of optimal control problem governed by convection–diffusion equations. We derive a posteriori error estimates and a priori error estimates for both the states, ad‐joint and the control variable approximation. For the optimal control problem, these estimates are apparently not available in the literature.

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