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

被引：2
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; Characteristic mixed finite element methods; APPROXIMATION;
D O I：
10.23952/jnfa.2022.39
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.
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页数：14
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