DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD WITH INTERIOR PENALTIES FOR CONVECTION DIFFUSION OPTIMAL CONTROL PROBLEM

被引：0

作者：

Sun, Tongjun ^{[1
]}

机构：

[1] Shandong Univ, Sch Math, Jinan 250100, Peoples R China

来源：

INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING | 2010年 / 7卷 / 01期

关键词：

discontinuous Galerkin method; convection-diffusion equation; optimal control problem; a priori error estimates; a posteriori error estimates; NUMERICAL APPROXIMATION; CONVERGENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a discontinuous Galerkin finite element method with interior penalties for convection-diffusion optimal control problem is studied. A semi-discrete time DG scheme for this problem is presented. We analyze the stability of this scheme, and derive a priori and a posteriori error estimates for both the state and the control approximation

引用

页码：87 / 107

页数：21

共 50 条

[41] SUPERCLOSENESS OF THE LOCAL DISCONTINUOUS GALERKIN METHOD FOR A SINGULARLY PERTURBED CONVECTION-DIFFUSION PROBLEM
Cheng, Y. A. O.
Jiang, S. H. A. N.
Stynes, M. A. R. T. I. N.
MATHEMATICS OF COMPUTATION, 2023, 92 (343) : 2065 - 2095
[42] A weak Galerkin finite element method for nonlinear convection-diffusion equation
Li, Wenjuan
Gao, Fuzheng
Cui, Jintao
APPLIED MATHEMATICS AND COMPUTATION, 2024, 461
[43] An analysis of the weak Galerkin finite element method for convection-diffusion equations
Zhang, Tie
Chen, Yanli
APPLIED MATHEMATICS AND COMPUTATION, 2019, 346 : 612 - 621
[44] A Finite Element Splitting Method for a Convection-Diffusion Problem
Thomee, Vidar
COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, 2020, 20 (04) : 717 - 725
[45] A characteristic-mixed finite element method for time-dependent convection-diffusion optimal control problem
Fu, Hongfei
Rui, Hongxing
APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (07) : 3430 - 3440
[46] Analysis of a Galerkin finite element method on a Bakhvalov-Shishkin mesh for a linear convection-diffusion problem
Linss, T
IMA JOURNAL OF NUMERICAL ANALYSIS, 2000, 20 (04) : 621 - 632
[47] A Priori and A Posteriori Error Estimates of Streamline Diffusion Finite Element Method for Optimal Control Problem Governed by Convection Dominated Diffusion Equation
Ningning Yan~* Zhaojie Zhou LSEC
Numerical Mathematics:Theory,Methods and Applications, 2008, Methods and Applications.2008 (03) : 297 - 320
[48] A Priori and A Posteriori Error Estimates of Streamline Diffusion Finite Element Method for Optimal Control Problem Governed by Convection Dominated Diffusion Equation
Yan, Ningning
Zhou, Zhaojie
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2008, 1 (03) : 297 - 320
[49] Error estimates for a discontinuous Galerkin method with interior penalties applied to nonlinear Sobolev equations
Sun, Tongjun
Yang, Danping
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2008, 24 (03) : 879 - 896
[50] Local Discontinuous Galerkin Approximation of Convection-Dominated Diffusion Optimal Control Problems with Control Constraints
Zhou, Zhaojie
Yu, Xiaoming
Yan, Ningning
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2014, 30 (01) : 339 - 360

← 1 2 3 4 5 →