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.

引用

页码：519 / 542

页数：24

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