A CHARACTERISTIC MIXED FINITE ELEMENT METHOD FOR BILINEAR CONVECTION-DIFFUSION OPTIMAL CONTROL PROBLEMS

被引：0

作者：

Tang, Yuelong ^{[1
]}

机构：

[1] Hunan Univ Sci & Engn, Coll Sci, Yongzhou 425100, Peoples R China

来源：

JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2022年 / 2022卷

基金：

中国国家自然科学基金;

关键词：

A priori error estimates; Bilinear convection-diffusion optimal control problems; Character-istic mixed finite element methods;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate a fully discrete characteristic mixed finite element approximation of bilinear convection-diffusion optimal control problems. The characteristic line method and backward difference are used for the time discretization. The lowest order Raviart-Thomas mixed finite element method is used for the space discretization. A priori error estimates for both the control and state numerical solutions are derived. Theoretical results are confirmed by a numerical example.

引用

页数：14

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