Error Estimates of Triangular Mixed Finite Element Methods for Distributed Parameter Systems

被引:0
作者
Lu, Zuliang [1 ,2 ]
Huang, Xiao [3 ]
机构
[1] Chongqing Three Gorges Univ, Coll Math & Comp Sci, Chongqing 404000, Peoples R China
[2] Xiangtan Univ, Coll Civil Engn & Mech, Xiangtan 411105, Peoples R China
[3] Chongqing Three Gorges Univ, Coll Phys & Elect Engn, Chongqing 404100, Peoples R China
来源
2011 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6 | 2011年
基金
美国国家科学基金会;
关键词
Terms Distributed parameter systems; Triangular mixed finite element methods; Error estimates; SUPERCONVERGENCE; APPROXIMATION;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This goal of this paper is to study a priori error estimates of triangular mixed finite element methods for distributed parameter systems. The state and the co-state are discretized by the lowest order Raviart-Thomas mixed finite element spaces and the control is discretized by piecewise constant functions. We derive a priori error estimates for the coupled state and control approximation. Finally, we present an numerical example which confirm our theoretical results.
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页码:2285 / +
页数:2
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