Galerkin spectral approximation for optimal control problem of a fourth-order equation with L2-norm control constraint
DOI10.1080/00207160.2021.1971204OpenAlexW3195154245MaRDI QIDQ5093052
Zhen-Zhen Tao, Bing Sun, Haifeng Niu
Publication date: 26 July 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2021.1971204
optimal controlspectral approximationfourth-order equationcontrol constrainta posteriori errora priori error
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Discrete approximations in optimal control (49M25) PDE constrained optimization (numerical aspects) (49M41)
Cites Work
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- Galerkin spectral approximation of elliptic optimal control problems with \(H^1\)-norm state constraint
- A priori error estimates for the finite element discretization of optimal distributed control problems governed by the biharmonic operator
- Ciarlet-Raviart mixed finite element approximation for an optimal control problem governed by the first bi-harmonic equation
- A semi-smooth Newton method for regularized state-constrained optimal control of the Navier-Stokes equations
- On gradient-type optimization method utilizing mixed finite element approximation for optimal boundary control problem governed by bi-harmonic equation
- Error estimates of the space-time spectral method for parabolic control problems
- A variational discretization concept in control constrained optimization: The linear-quadratic case
- Galerkin spectral approximations for optimal control problems governed by the fourth order equation with an integral constraint on state
- Solving biharmonic equation as an optimal control problem using localized radial basis functions collocation method
- Legendre-Galerkin spectral methods for optimal control problems with integral constraint for state in one dimension
- Error estimates for spectral approximation of elliptic control problems with integral state and control constraints
- An interior penalty method for distributed optimal control problems governed by the biharmonic operator
- Generic Simplicity of the Spectrum and Stabilization for a Plate Equation
- Spectral mixed Galerkin method for state constrained optimal control problem governed by the first bi-harmonic equation
- Convergence of an Upwind Finite-Difference Scheme for Hamilton–Jacobi–Bellman Equation in Optimal Control
- Spectral Method Approximation of Flow Optimal Control Problems withH1-Norm State Constraint
- A Posteriori Error Analysis of Optimal Control Problems with Control Constraints
- Optimization with PDE Constraints
- Convergence of a Finite Element Approximation to a State-Constrained Elliptic Control Problem
- A Legendre–Galerkin Spectral Method for Optimal Control Problems Governed by Elliptic Equations
- Some Spectral Approximations of Two-Dimensional Fourth-Order Problems
- Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
- Augemented Lagrangian Techniques for Elliptic State Constrained Optimal Control Problems
- Necessary and Sufficient Optimality Conditions for Optimization Problems in Function Spaces and Applications to Control Theory
- A priori error estimates for optimal control problems with state and control constraints
- General Optimality Conditions for Constrained Convex Control Problems
- Decoupled Mixed Element Methods for Fourth Order Elliptic Optimal Control Problems with Control Constraints
- Modeling and Optimal Control of an Octopus Tentacle
- Dynamic Programming Viscosity Solution Approach and Its Applications to Optimal Control Problems
- Finite Element Discretization of State-Constrained Elliptic Optimal Control Problems with Semilinear State Equation
- Mixed Finite Element Methods for Fourth Order Elliptic Optimal Control Problems
- Finite Element Approximations of an Optimal Control Problem with Integral State Constraint
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