A Fully Discrete Approximation for Control Problems Governed by Parabolic Variational Inequalities

In this work we consider a numerical approximation of an optimal control problem governed by variational inequalities. We use a total discretization scheme: implicit Euler discretization with respect to the time variable and finite element method for the space variable, and we give convergence resul...

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Bibliographic Details
Published in:SIAM journal on numerical analysis 2002, Vol.39 (6), p.2014-2033
Main Authors: BERGOUNIOUX, Maitine, ZIDANI, Housnaa
Format: Article
Language:English
Subjects:
Approximation
Calculus of variations and optimal control
Control theory
Control variables
Equations of state
Error rates
Estimates
Exact sciences and technology
Finite element method
Inequality
Lagrange multiplier
Mathematical analysis
Mathematical functions
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical methods in mathematical programming, optimization and calculus of variations
Numerical methods in optimization and calculus of variations
Optimal control
Optimization and Control
Sciences and techniques of general use
Variational inequalities
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Summary:In this work we consider a numerical approximation of an optimal control problem governed by variational inequalities. We use a total discretization scheme: implicit Euler discretization with respect to the time variable and finite element method for the space variable, and we give convergence results.
ISSN:0036-1429
1095-7170
DOI:10.1137/S0036142900373403