DISCRETIZATION METHODS FOR SEMILINEAR PARABOLIC OPTIMAL CONTROL PROBLEMS
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Summary
It is proved that strong accumulation points in L 2 of sequences of optimal (resp. admissible and extremal) discrete controls are optimal and weakly extremal classical for the continuous classical problem of an optimal control problem formulated in Gamkrelidze relaxed form.
- Type
- article
- Published
- 2006-01-01
- Cited by
- 20
- References
- 16
- Access
- Open access
- OpenAlex
- https://openalex.org/W20807139
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:16306803
Keywords
Mathematics, Discretization, Optimal control, Sequence (biology), Applied mathematics
References
- Mixed Frank–Wolfe Penalty Method with Applications to Nonconvex Optimal Control Problems
- Optimal control of differential and functional equations
- Discrete relaxed method for semilinear parabolic optimal control problem
- Discrete approximation of nonconvex hyperbolic optimal control problems with state constraints
- Optimization: Algorithms and Consistent Approximations
- Relaxation in Optimization Theory and Variational Calculus
- Approximation of relaxed nonlinear parabolic optimal control problems
- Strong convergence of numerical solutions to degenerate variational problems
- NUMERICAL SOLUTION OF A CLASS OF NON-CONVEX VARIATIONAL PROBLEMS BY SQP
- Nonconvex optimal control of nonlinear monotone parabolic systems
- The finite element method for elliptic problems
- Adaptive Approximation of Young Measure Solutions in Scalar Nonconvex Variational Problems
- Navier-Stokes Equations
- Higher-Order Convex Approximations of Young Measures in Optimal Control
- The Finite Element Method for Elliptic Problems
- Galerkin Finite Element Methods for Parabolic Problems
- Infinite Dimensional Optimization and Control Theory: Optimal Control Problems with State Constraints
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- RICHARDSON EXTRAPOLATION AND DEFECT CORRECTION OF MIXED FINITE ELEMENT METHODS FOR ELLIPTIC OPTIMAL CONTROL PROBLEMS
- Some error estimates of finite volume element method for parabolic optimal control problems
- Discretization-Optimization Methods for Nonlinear Parabolic Relaxed Optimal Control Problems with State Constraints
- DISCRETIZATION-OPTIMIZATION METHODS FOR RELAXED OPTIMAL CONTROL PROBLEMS
- Approximations of optimal control problems for semilinear elliptic equations with discontinuous coefficients and states and with controls in the coefficients multiplying the highest derivatives
- Classical and relaxed optimization methods for optimal control problems
- Mixed discretization-optimization methods for relaxed optimal control of nonlinear parabolic systems
- Echo State Networks Simulation of SIR Distributed Control
- Neural Networks Simulation of Feeding Adaptations of Daphnia
- A RELAXATION APPROACH TO DISCRETIZATION OF BOUNDARY OPTIMAL CONTROL PROBLEMS OF SEMILINEAR PARABOLIC EQUATIONS
- for Optimal Control Problems
- Neural Networks Simulation of Distributed Control Problems with State and Control Constraints
- Classical and Relaxed Progressively Refining Discretization-Optimization Methods for Optimal Control Problems Defined by Ordinary Differential Equations
- L∞-ERROR ESTIMATES FOR GENERAL OPTIMAL CONTROL PROBLEM BY MIXED FINITE ELEMENT METHODS
- Mixed Discretization-Optimization Methods for Nonlinear Elliptic Optimal Control Problems
- Optimal Control of Nonlinear Elliptic PDEs - Theory and Optimization Methods
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