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A priori error estimates of mixed finite element methods for nonlinear quadratic convex optimal control problem

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成果类型:
期刊论文、会议论文
作者:
Zhang, H. W.;Lu, Z. L.
通讯作者:
Zhang, HW
作者机构:
[Zhang, H. W.] Changsha Univ Sci & Technol, Coll Math & Comp Sci, Changsha, Hunan, Peoples R China.
[Lu, Z. L.] Xiangtang Univ, Inst Computat & Appl Math, Xiangtan, Peoples R China.
通讯机构:
[Zhang, HW ]
Changsha Univ Sci & Technol, Coll Math & Comp Sci, Changsha, Hunan, Peoples R China.
语种:
英文
关键词:
Priori error estimates;mixed finite element method;optimal control
期刊:
2008 5TH INTERNATIONAL CONFERENCE ON ELECTRICAL ENGINEERING, COMPUTING SCIENCE AND AUTOMATIC CONTROL (CCE 2008)
年:
2008
页码:
120-124
会议名称:
5th International Conference on Electrical Engineering, Computing Science and Automatic Control
会议论文集名称:
2008 5th International Conference on Electrical Engineering, Computing Science and Automatic Control
会议时间:
NOV 12-14, 2008
会议地点:
Mexico City, MEXICO
会议赞助商:
IEEE;
出版地:
345 E 47TH ST, NEW YORK, NY 10017 USA
出版者:
IEEE
ISBN:
978-1-4244-2498-6
基金类别:
National Science Foundation of ChinaNational Natural Science Foundationof China [10671163]; National Basic Research ProgramNational BasicResearch Program of China [2005CB321703]; Scientific Research Fund ofHunan Provincial Education DepartmentHunan Provincial EducationDepartment [06A069]
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学院
摘要:
In this paper, we study an a priori error analysis for the quadratic optimal control problems governed by nonlinear elliptic partial differential equations using mixed finite element methods. The state and the co-state are approximated by the lowest order Raviart-Thomas mixed finite element spaces and the control is approximated by piecewise constant functions. A priori error estimates for the mixed finite element approximation of nonlinear optimal control problems is obtained. Some numerica...

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