Error analysis of discontinuous Galerkin finite element method for optimal control problem governed by the transport equation-Reference-Cited by-同舟云学术

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Error analysis of discontinuous Galerkin finite element method for optimal control problem governed by the transport equation

Published:2017-03-23 Issue:5 Volume:33 Page:1493-1512
ISSN:0749-159X
Container-title:Numerical Methods for Partial Differential Equations
language:en
Short-container-title:Numer. Methods Partial Differential Eq.

Author:

Liu Huipo¹^ORCID,Wang Shuanghu¹,Han Hongbin²³,Yuan Lan⁴

Affiliation:

1. Institute of Applied Physics and Computational Mathematics; Beijing 100094 China

2. Department of Radiology, Peking University Third Hospital; Peking University; Beijing 100191 China

3. Beijing Key Lab of Magnetic Resonance Imaging Technology; Beijing 100191 China

4. Center of Medical and Health Analysis; Peking University; Beijing 100191 China

Funder

National Natural Science Foundation of China

Chinese Academy of Engineering Physics

Publisher

Wiley

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis

Link

http://onlinelibrary.wiley.com/wol1/doi/10.1002/num.22149/fullpdf

Reference41 articles.

1. Approximation of a class of optimal control problems with order of convergence estimates;Falk;J Math Anal Appl,1973

2. Convergence of approximations vs. regularity of solutions for convex, control constrained, optimal control systems;Malanowski;Appl Math Optim,1982

3. Ritz-Galerkin approximation of the optimal boundary control problem for parabolic systems with Dirichlet boundary conditions;Lasiecka;SIAM J Control Optim,1984

4. Adaptive finite element methods for optimal control of partial differential equations: basic concept;Becker;SIAM J Control Optim,2000

5. A posteriori error estimates for a model boundary optimal control problem;Liu;J Comput Appl Math,2000

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A posteriori error estimates of a DG method for optimal control problems governed by the transport equation;Computational and Applied Mathematics;2023-11-11

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