Error Estimates of Triangular Mixed Finite Element Methods for Distributed Parameter Systems
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作者:
Lu, Zuliang
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机构:
Chongqing Three Gorges Univ, Coll Math & Comp Sci, Chongqing 404000, Peoples R China
Xiangtan Univ, Coll Civil Engn & Mech, Xiangtan 411105, Peoples R ChinaChongqing Three Gorges Univ, Coll Math & Comp Sci, Chongqing 404000, Peoples R China
Lu, Zuliang
[1
,2
]
Huang, Xiao
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机构:
Chongqing Three Gorges Univ, Coll Phys & Elect Engn, Chongqing 404100, Peoples R ChinaChongqing Three Gorges Univ, Coll Math & Comp Sci, Chongqing 404000, Peoples R China
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
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.
机构:
S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R ChinaS China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
Chen, Yanping
Liu, Lingli
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机构:
Xiangtan Univ, Dept Math, Hunan Key Lab Computat & Simulat Sci & Engn, Xiangtan, Peoples R ChinaS China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
Liu, Lingli
Lu, Zuliang
论文数: 0引用数: 0
h-index: 0
机构:
Chongqing Three Gorges Univ, Coll Math & Comp Sci, Chongqing, Peoples R ChinaS China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
机构:
S China Normal Univ, Sch Math Sci, Guangzhou, Guangdong, Peoples R ChinaS China Normal Univ, Sch Math Sci, Guangzhou, Guangdong, Peoples R China
Chen, Yanping
Dai, Li
论文数: 0引用数: 0
h-index: 0
机构:
Xiguan Foreign Language Sch, Math Teaching & Res Grp, Guangzhou, Guangdong, Peoples R ChinaS China Normal Univ, Sch Math Sci, Guangzhou, Guangdong, Peoples R China
Dai, Li
Lu, Zuliang
论文数: 0引用数: 0
h-index: 0
机构:
Xiangtan Univ, Hunan Key Lab Computat & Simulat Sci & Engn, Dept Math, Xiangtan, Hunan, Peoples R ChinaS China Normal Univ, Sch Math Sci, Guangzhou, Guangdong, Peoples R China
机构:
S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R ChinaS China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
Chen, Yanping
Lu, Zuliang
论文数: 0引用数: 0
h-index: 0
机构:
Chongqing Three Gorges Univ, Coll Math & Comp Sci, Chongqing 404000, Peoples R ChinaS China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
机构:
S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R ChinaS China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
Chen, Yanping
Lu, Zuliang
论文数: 0引用数: 0
h-index: 0
机构:
Xiangtan Univ, Hunan Key Lab Computat & Simulat Sci & Engn, Dept Math, Xiangtan 411105, Hunan, Peoples R ChinaS China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
机构:
S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R ChinaS China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
Chen, Yanping
Liu, Lingli
论文数: 0引用数: 0
h-index: 0
机构:
Xiangtan Univ, Dept Math, Hunan Key Lab Computat & Simulat Sci & Engn, Xiangtan, Peoples R ChinaS China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
Liu, Lingli
Lu, Zuliang
论文数: 0引用数: 0
h-index: 0
机构:
Chongqing Three Gorges Univ, Coll Math & Comp Sci, Chongqing, Peoples R ChinaS China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
机构:
S China Normal Univ, Sch Math Sci, Guangzhou, Guangdong, Peoples R ChinaS China Normal Univ, Sch Math Sci, Guangzhou, Guangdong, Peoples R China
Chen, Yanping
Dai, Li
论文数: 0引用数: 0
h-index: 0
机构:
Xiguan Foreign Language Sch, Math Teaching & Res Grp, Guangzhou, Guangdong, Peoples R ChinaS China Normal Univ, Sch Math Sci, Guangzhou, Guangdong, Peoples R China
Dai, Li
Lu, Zuliang
论文数: 0引用数: 0
h-index: 0
机构:
Xiangtan Univ, Hunan Key Lab Computat & Simulat Sci & Engn, Dept Math, Xiangtan, Hunan, Peoples R ChinaS China Normal Univ, Sch Math Sci, Guangzhou, Guangdong, Peoples R China
机构:
S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R ChinaS China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
Chen, Yanping
Lu, Zuliang
论文数: 0引用数: 0
h-index: 0
机构:
Chongqing Three Gorges Univ, Coll Math & Comp Sci, Chongqing 404000, Peoples R ChinaS China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
机构:
S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R ChinaS China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
Chen, Yanping
Lu, Zuliang
论文数: 0引用数: 0
h-index: 0
机构:
Xiangtan Univ, Hunan Key Lab Computat & Simulat Sci & Engn, Dept Math, Xiangtan 411105, Hunan, Peoples R ChinaS China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China