Galerkin spectral method for elliptic optimal control problem with \(L^2\)-norm control constraint
DOI10.3934/dcdsb.2021220zbMath1500.49012OpenAlexW3198707836MaRDI QIDQ2090347
Publication date: 25 October 2022
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2021220
optimal controloptimality conditionsa posteriori error estimatesa priori error estimatesGalerkin spectral approximation
Optimality conditions for problems involving partial differential equations (49K20) 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) PDE constrained optimization (numerical aspects) (49M41)
Uses Software
Cites Work
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- 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
- A Legendre Galerkin spectral method for optimal control problems
- 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
- 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
- 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
- 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
- Control of an Elliptic Problem with Pointwise State Constraints
- 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
- Spectral Methods in MATLAB
- A priori error estimates for optimal control problems with state and control constraints
- A Posteriori Error Estimates for Control Problems Governed by Stokes Equations
- 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
- On Direct Methods for Solving Poisson’s Equations
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