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A Priori Error Estimates of Mixed Finite Element Methods for General Linear Hyperbolic Convex Optimal Control Problems

被引：2
|
作者：
Lu, Zuliang [1 ,2 ]
Huang, Xiao [3 ]
机构：
[1] Chongqing Three Gorges Univ, Sch Math & Stat, Chongqing 404000, Peoples R China
[2] Beijing Computat Sci Res Ctr, Lab Appl Math, Beijing 100084, Peoples R China
[3] Chongqing Three Gorges Univ, Coll Elect & Informat Engn, Chongqing 404000, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2014年
基金：
美国国家科学基金会;
关键词：
APPROXIMATION; SUPERCONVERGENCE; CONVERGENCE;
D O I：
10.1155/2014/547490
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this work is to investigate the discretization of general linear hyperbolic convex optimal control problems by using the mixed finite element methods. The state and costate are approximated by the k order (k >= 0) Raviart-Thomas mixed finite elements and the control is approximated by piecewise polynomials of order k. By applying the elliptic projection operators and Gronwall's lemma, we derive a priori error estimates of optimal order for both the coupled state and the control approximation.
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页数：10
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