AN OPTIMAL EDG METHOD FOR DISTRIBUTED CONTROL OF CONVECTION DIFFUSION PDES

被引：0
|
作者：
Zhang, Xiao [1 ]
Zhang, Yangwen [2 ]
Singler, John R. [2 ]
机构：
[1] Sichuan Univ, Coll Math, Chengdu, Sichuan, Peoples R China
[2] Missouri Univ Sci & Technol, Dept Math & Stat, Rolla, MO 65409 USA
来源：
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING | 2019年 / 16卷 / 04期
基金：
美国国家科学基金会;
关键词：
Distributed optimal control; convection diffusion; embedded discontinuous Galerkin method; error analysis; optimize-then-discretize; discrtize-then-optimize; DISCONTINUOUS GALERKIN METHOD; FINITE-ELEMENT-METHOD; HDG METHODS; APPROXIMATION;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We propose an embedded discontinuous Galerkin (EDG) method to approximate the solution of a distributed control problem governed by convection diffusion PDEs, and obtain optimal a priori error estimates for the state, dual state, their fluxes, and the control. Moreover, we prove the optimize-then-discretize (OD) and discrtize-then-optimize (DO) approaches coincide. Numerical results confirm our theoretical results.
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页码：519 / 542
页数：24
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