ERROR ESTIMATES OF RT1 MIXED METHODS FOR DISTRIBUTED OPTIMAL CONTROL PROBLEMS

被引：2

作者：

Hou, Tianliang ^{[1
]}

机构：

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

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2014年 / 51卷 / 01期

关键词：

elliptic equations; distributed optimal control problems; L-infinity-error estimates; RT1 mixed finite element methods; FINITE-ELEMENT METHODS; SUPERCONVERGENCE; APPROXIMATION;

D O I：

10.4134/BKMS.2014.51.1.139

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the error estimates of a quadratic elliptic control problem with pointwise control constraints. The state and the co-state variables are approximated by the order k = 1 Raviart-Thomas mixed finite element and the control variable is discretized by piecewise linear but discontinuous functions. Approximations of order h(3/2) in the L-2-norm and order h in the L-infinity-norm for the control variable are proved.

引用

页码：139 / 156

页数：18

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