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Error estimates of mixed methods for optimal control problems governed by parabolic equations
Author(s) -
Xing Xiaoqing,
Chen Yanping
Publication year - 2008
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.2289
Subject(s) - piecewise , finite element method , mathematics , convergence (economics) , optimal control , constant (computer programming) , mixed finite element method , state (computer science) , parabolic partial differential equation , mathematical analysis , mathematical optimization , partial differential equation , computer science , algorithm , physics , thermodynamics , economics , programming language , economic growth
In this paper, we investigate the error estimates for the solutions of parabolic optimal control problem by mixed finite element methods. The state and co‐state are approximated by the lowest‐order Raviart–Thomas mixed finite element spaces, and the control is approximated by piecewise constant functions. The convergence for the states, co‐states and the control is demonstrated. Copyright © 2008 John Wiley & Sons, Ltd.