Approximation of optimal control problems for the Navier-Stokes equation via multilinear HJB-POD
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Publication:2700347
DOI10.1016/j.amc.2022.127722OpenAlexW4310861268MaRDI QIDQ2700347
Luca Saluzzi, Gerhard Kirsten, Maurizio Falcone
Publication date: 21 April 2023
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.07349
Numerical methods for ordinary differential equations (65Lxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Partial differential equations of mathematical physics and other areas of application (35Qxx)
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Cites Work
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- Matrix-equation-based strategies for convection-diffusion equations
- Suboptimal feedback control of PDEs by solving HJB equations on adaptive sparse grids
- Numerical models for differential problems. Translated by Silvia Quarteroni.
- An HJB-POD approach for the control of nonlinear PDEs on a tree structure
- Multilinear POD-DEIM model reduction for 2D and 3D semilinear systems of differential equations
- A neural network multigrid solver for the Navier-Stokes equations
- Feedback stabilization of the three-dimensional Navier-Stokes equations using generalized Lyapunov equations
- Matrix-oriented discretization methods for reaction-diffusion PDEs: comparisons and applications
- Feedback stabilization of the two-dimensional Navier-Stokes equations by value function approximation
- POD-based feedback control of the Burgers equation by solving the evolutionary HJB equation
- A New Selection Operator for the Discrete Empirical Interpolation Method---Improved A Priori Error Bound and Extensions
- A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems
- Nonlinear Model Reduction via Discrete Empirical Interpolation
- Computational Methods for Linear Matrix Equations
- Order Reduction Methods for Solving Large-Scale Differential Matrix Riccati Equations
- Optimization with PDE Constraints
- Optimal snapshot location for computing POD basis functions
- Numerical solution of parametrized Navier–Stokes equations by reduced basis methods
- Numerical Integration of the Differential Riccati Equation and Some Related Issues
- Model Reduction and Approximation
- HJB-POD-Based Feedback Design for the Optimal Control of Evolution Problems
- Tensor Decomposition Methods for High-dimensional Hamilton--Jacobi--Bellman Equations
- Error Estimates for a Tree Structure Algorithm Solving Finite Horizon Control Problems
- Approximating Optimal feedback Controllers of Finite Horizon Control Problems Using Hierarchical Tensor Formats
- A tree structure algorithm for optimal control problems with state constraints
- An Efficient DP Algorithm on a Tree-Structure for Finite Horizon Optimal Control Problems
- Riccati-based Boundary Feedback Stabilization of Incompressible Navier--Stokes Flows
- Semi-Lagrangian Approximation Schemes for Linear and Hamilton—Jacobi Equations
- Controllability of Navier–Stokes Equations
- Numerical Solution of the Navier-Stokes Equations
- Internal stabilization of Navier-Stokes equations with finite-dimensional controllers
- Driving bifurcating parametrized nonlinear PDEs by optimal control strategies: application to Navier–Stokes equations with model order reduction
- Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
- Global existence of two-dimensional Navier-Stokes flow with nondecaying initial velocity
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