Superconvergence of H1-Galerkin Mixed Finite Element Methods for Elliptic Optimal Control Problems

被引：4

作者：

Liu, Chunmei ^{[1
]}

Hou, Tianliang ^{[2
]}

Yang, Yin ^{[3
]}

机构：

[1] Hunan Univ Sci & Engn, Coll Sci, Inst Computat Math, Yongzhou 425199, Hunan, Peoples R China

[2] Beihua Univ, Sch Math & Stat, Jilin 132013, Jilin, Peoples R China

[3] Xiangtan Univ, Minist Educ, Sch Math & Computat Sci, Hunan Key Lab Computat & Simulat Sci & Engn,Key L, Xiangtan 411105, Hunan, Peoples R China

来源：

EAST ASIAN JOURNAL ON APPLIED MATHEMATICS | 2019年 / 9卷 / 01期

关键词：

Elliptic equations; optimal control problems; superconvergence; H-1-Galerkin mixed finite element methods; APPROXIMATION;

D O I：

10.4208/eajam.150117.070618

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The convergence of H-1-Galerkin mixed finite element methods for elliptic optimal control problems is studied and postprocessing operators are used to establish the superconvergence for control, state and adjoint state variables. A numerical example confirms the validity of theoretical results.

引用

页码：87 / 101

页数：15

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