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

Chunguang Xiong*, Yuan Li

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摘要

In the current paper, we study the convergence properties of the DGFE approximation of optimal control problem governed by convectiondiffusion 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.

源语言英语
页(从-至)3163-3177
页数15
期刊Journal of Computational and Applied Mathematics
235
10
DOI
出版状态已出版 - 15 3月 2011

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Xiong, C., & Li, Y. (2011). Error analysis for optimal control problem governed by convection diffusion equations: DG method. Journal of Computational and Applied Mathematics, 235(10), 3163-3177. https://doi.org/10.1016/j.cam.2010.12.024