Fully Discrete Interpolation Coefficients Mixed Finite Element Methods for Semi-Linear Parabolic Optimal Control Problem

被引：2

作者：

Wang, Jing ^{[1
]}

Lu, Zuliang ^{[1
,2
]}

Cai, Fei ^{[1
]}

Feng, Yuming ^{[1
]}

机构：

[1] Chongqing Three Gorges Univ, Key Lab Nonlinear Sci & Syst Struct, Chongqing 404100, Peoples R China

[2] Tianjin Univ Finance & Econ, Res Ctr Math & Econ, Tianjin 300222, Peoples R China

来源：

IEEE ACCESS | 2022年 / 10卷

关键词：

Interpolation; Mathematical models; Standards; Optimal control; Licenses; Estimation; Economics; Priori error estimate; interpolation coefficients; mixed finite element methods; fully discrete; semi-linear parabolic optimal control problem; APPROXIMATION; DISCRETIZATION;

D O I：

10.1109/ACCESS.2022.3173402

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We use the fully discrete interpolation coefficient mixed finite element methods to solve the semi-linear parabolic optimal control problems. The space discretization of the state variable is separated using interpolation coefficient mixed finite elements. We approximate the state and the co-state by Raviart-Thomas mixed finite elements on the lowest order, which is approximated by piecewise constant elements. By applying mixed finite element methods to estimate errors, we get priori errors estimates for both the coupled state and the control approximations. We finally confirm the theoretical results numerically by a numerical example.

引用

页码：54291 / 54300

页数：10

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