Galerkin spectral method for a fourth-order optimal control problem with \(H^1\)-norm state constraint
DOI10.1016/j.camwa.2021.05.023OpenAlexW3169609158MaRDI QIDQ2047553
Publication date: 20 August 2021
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2021.05.023
optimal controlspectral approximationstate constraintfourth-order equationa posteriori errora priori error
Optimality conditions for problems involving partial differential equations (49K20) Numerical optimization and variational techniques (65K10) Error bounds for boundary value problems involving PDEs (65N15) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Galerkin spectral approximation of elliptic optimal control problems with \(H^1\)-norm state constraint
- On fast direct Poisson solver, inf-sup constant and iterative Stokes solver by Legendre-Galerkin method
- Error estimates of the space-time spectral method for parabolic control problems
- Improved approximation rates for a parabolic control problem with an objective promoting directional sparsity
- Galerkin spectral approximations for optimal control problems governed by the fourth order equation with an integral constraint on state
- Galerkin spectral approximation of optimal control problems with \(L^2\)-norm control constraint
- Legendre-Galerkin spectral methods for optimal control problems with integral constraint for state in one dimension
- A posteriori error estimates for an optimal control problem of laser surface hardening of steel
- Error estimates for spectral approximation of elliptic control problems with integral state and control constraints
- Spectral mixed Galerkin method for state constrained optimal control problem governed by the first bi-harmonic equation
- Optimal Control Problems with Mixed Constraints
- A Legendre–Galerkin Spectral Method for Optimal Control Problems Governed by Stokes Equations
- Spectral Method Approximation of Flow Optimal Control Problems withH1-Norm State Constraint
- 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
- Control of an Elliptic Problem with Pointwise State Constraints
- On the approximation of the solution of an optimal control problem governed by an elliptic equation
- Some Spectral Approximations of Two-Dimensional Fourth-Order Problems
- Spectral Methods and Their Applications
- Error estimation of Hermite spectral method for nonlinear partial differential equations
- Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
- 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
- A Posteriori Error Estimates for Control Problems Governed by Stokes Equations
- General Optimality Conditions for Constrained Convex Control Problems
- Adaptive characteristic finite element approximation of convection–diffusion optimal control problems
- Dynamic Programming Viscosity Solution Approach and Its Applications to Optimal Control Problems
- Error Estimates for Semilinear Parabolic Control Problems in the Absence of Tikhonov Term
- Finite Element Discretization of State-Constrained Elliptic Optimal Control Problems with Semilinear State Equation
- Finite Element Approximations of an Optimal Control Problem with Integral State Constraint
- Spectral Methods
This page was built for publication: Galerkin spectral method for a fourth-order optimal control problem with \(H^1\)-norm state constraint
