A NEW TWO-GRID P20-P1 MIXED FINITE ELEMENT ALGORITHM FOR GENERAL ELLIPTIC OPTIMAL CONTROL PROBLEMS

被引：0

作者：

Chen, Hongbo ^{[1
]}

机构：

[1] Beihua Univ, Sch Math & Stat, Jilin 132013, 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：

Error estimates; General elliptic optimal control problems; P20- P 1 mixed finite element; Two-grid; Superconvergence;

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, a new two-grid mixed finite element scheme for distributed optimal control governed by general elliptic equations is presented. P20 -P1 mixed finite elements , piecewise constant functions are used for spatial discretization. Convergence of the proposed two-grid algorithm is discussed. In the two-grid scheme, the solution of the elliptic optimal control problem on a fine grid is reduced to the solution of the elliptic optimal control problem on a much coarser grid and the solution of a symmetric linear algebraic system on the fine grid and the resulting solution still maintains an asymptotically optimal accuracy.

引用

页数：11

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