Adaptive variational discretization approximation method for parabolic optimal control problems
نویسندگان
چکیده
منابع مشابه
VARIATIONAL DISCRETIZATION AND MIXED METHODS FOR SEMILINEAR PARABOLIC OPTIMAL CONTROL PROBLEMS WITH INTEGRAL CONSTRAINT
The aim of this work is to investigate the variational discretization and mixed finite element methods for optimal control problem governed by semi linear parabolic equations with integral constraint. The state and co-state are approximated by the lowest order Raviart-Thomas mixed finite element spaces and the control is not discreted. Optimal error estimates in L2 are established for the state...
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the aim of this work is to investigate the variational discretization and mixed finite element methods for optimal control problem governed by semi linear parabolic equations with integral constraint. the state and co-state are approximated by the lowest order raviart-thomas mixed finite element spaces and the control is not discreted. optimal error estimates in l2 are established for the state...
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There has been an awful lot of people who helped me in the creation of this thesis, be it through their own work, like Prof. G. Dziuk, their advocacy, like Prof. J. Struck-meier, or their encouragement. For the latter my foremost thanks go to my companion Christine and to my mother Brigitte who have always been there for me. Finally, I want to thank Prof. H. Garcke who greatly helped to improve...
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متن کاملVariational Discretization and Mixed Methods for Semilinear Parabolic Optimal Control Problems with Integral Constraint
ABSTRACT The aim of this work is to investigate the variational discretization and mixed finite element methods for optimal control problem governed by semi linear parabolic equations with integral constraint. The state and co-state are approximated by the lowest order Raviart-Thomas mixed finite element spaces and the control is not discreted. Optimal error estimates in L are established for t...
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2020
ISSN: 1029-242X
DOI: 10.1186/s13660-020-02506-6