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

Chunguang Xiong; Yuan Li

doi:10.1016/j.cam.2010.12.024

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

Chunguang Xiong^*
, Yuan Li

^*Corresponding author for this work

School of Mathematics and Statistics

Chinese People's Police University

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	3163-3177
Number of pages	15
Journal	Journal of Computational and Applied Mathematics
Volume	235
Issue number	10
DOIs	https://doi.org/10.1016/j.cam.2010.12.024
Publication status	Published - 15 Mar 2011

Keywords

Constant obstacle
Convectiondiffusion equations
DG
Error estimate
Finite element method

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10.1016/j.cam.2010.12.024

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title = "Error analysis for optimal control problem governed by convection diffusion equations: DG method",

abstract = "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.",

keywords = "Constant obstacle, Convectiondiffusion equations, DG, Error estimate, Finite element method",

author = "Chunguang Xiong and Yuan Li",

year = "2011",

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T1 - Error analysis for optimal control problem governed by convection diffusion equations

T2 - DG method

AU - Xiong, Chunguang

AU - Li, Yuan

PY - 2011/3/15

Y1 - 2011/3/15

N2 - 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.

AB - 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.

KW - Constant obstacle

KW - Convectiondiffusion equations

KW - DG

KW - Error estimate

KW - Finite element method

UR - https://www.scopus.com/pages/publications/79952188805

U2 - 10.1016/j.cam.2010.12.024

DO - 10.1016/j.cam.2010.12.024

M3 - Article

AN - SCOPUS:79952188805

SN - 0377-0427

VL - 235

SP - 3163

EP - 3177

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 10

ER -

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

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Keywords

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