A New A Posteriori Error Estimates for Optimal Control Problems Governed by Parabolic Integro-Differential Equations

被引：0

作者：

Chen, H. ^{[1
]}

Hou, T. ^{[1
]}

机构：

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

来源：

NUMERICAL ANALYSIS AND APPLICATIONS | 2024年 / 17卷 / 01期

关键词：

parabolic integro-differential equations; finite element; elliptic reconstruction; a posteriori error estimates; FINITE-ELEMENT METHODS; ELLIPTIC RECONSTRUCTION; SUPERCONVERGENCE; APPROXIMATION;

D O I：

10.1134/S1995423924010075

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we provide a new a posteriori error analysis for linear finite element approximation of a parabolic integro-differential optimal control problem. The state and co-state are approximated by piecewise linear functions, while the control variable is discretized by variational discretization method. We first define the elliptic reconstructions of numerical solutions and then discuss a posteriori error estimates for all variables.

引用

页码：67 / 79

页数：13

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