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Local discontinuous galerkin approximation of convection-dominated diffusion optimal control problems with control constraints

  • Published:2013-10-07 Issue:1 Volume:30 Page:339-360
  • ISSN:0749-159X
  • Container-title:Numerical Methods for Partial Differential Equations
  • language:en
  • Short-container-title:Numer. Methods Partial Differential Eq.

Author:

Zhou Zhaojie1,Yu Xiaoming2,Yan Ningning3

Affiliation:

1. School of Mathematics Sciences; Shandong Normal University; Ji'nan 250014 China

2. Institute of Management Science and Engineering, Shandong Normal University; Ji'nan 250014 China

3. LSEC, Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences; Beijing 100190 China

Publisher

Wiley

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis

Reference28 articles.

1. A mathematical formulation for optimal control of air pollution;Zhu;Sci China D,2003

2. Theoretical and numerical analysis of an optimal control problem related to wastewater treatment;Martínez;SIAM J Control Optim,2000

3. Optimal control of the convection-diffusion equation using stabilized finite element methods;Becker;Numer Math,2007

4. Local error estimates for SUPG solutions of advection-dominated elliptic linear-quadratic optimal control problems;Heinkenschloss;SIAM J Numer Anal,2010

5. Variational discretization for optimal control governed by convection dominated diffusion equations;Hinze;J Comput Math,2009

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