A posteriori error estimates of \(hp\) spectral element methods for optimal control problems with \(L^2\)-norm state constraint
From MaRDI portal
Publication:2299218
DOI10.1007/s11075-019-00719-5OpenAlexW2944968152WikidataQ127843727 ScholiaQ127843727MaRDI QIDQ2299218
Yunqing Huang, Yanping Chen, Xiuxiu Lin
Publication date: 20 February 2020
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-019-00719-5
a posteriori error estimatesoptimal control problem\(L^2\)-norm state constraint\(hp\) spectral element method
Related Items
A Posteriori Error Estimates for $hp$ Spectral Element Approximation of Elliptic Control Problems with Integral Control and State Constraints, Error analysis of spectral approximation for space-time fractional optimal control problems with control and state constraints, A novel error analysis of spectral method for the anomalous subdiffusion problems with multi-term time-fractional derivative, A limited-memory BFGS-based differential evolution algorithm for optimal control of nonlinear systems with mixed control variables and probability constraints, Error estimates of \textit{hp} spectral element methods in nonlinear optimal control problem, A posteriori error estimates of spectral Galerkin methods for multi-term time fractional diffusion equations, A priori and a posteriori error analysis of \textit{hp} spectral element discretization for optimal control problems with elliptic equations
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Galerkin spectral approximation of elliptic optimal control problems with \(H^1\)-norm state constraint
- Error estimates for parabolic optimal control problems with control and state constraints
- Adaptive finite element approximation for an elliptic optimal control problem with both pointwise and integral control constraints
- A posteriori error estimates for \(hp\) finite element solutions of convex optimal control problems
- Stabilized spectral element computations of high Reynolds number incompressible flows
- Superconvergence of triangular mixed finite elements for optimal control problems with an integral constraint
- A posteriori error estimation and adaptivity for elliptic optimal control problems with state constraints
- \(hp\)-version a priori error analysis of interior penalty discontinuous Galerkin finite element approximations to the biharmonic equation
- Superconvergence analysis and a posteriori error estimation of a finite element method for an optimal control problem governed by integral equations
- Second-order necessary optimality conditions for some state-constrained control problems of semilinear elliptic equations
- A spectral element method for the time-dependent two-dimensional Euler equations: Applications to flow simulations
- Convergence and quasi-optimality of an adaptive finite element method for optimal control problems on \(L^{2}\) errors
- A mixed multiscale finite element method for convex optimal control problems with oscillating coefficients
- Legendre-Galerkin spectral methods for optimal control problems with integral constraint for state in one dimension
- Optimal error estimates for finite element discretization of elliptic optimal control problems with finitely many pointwise state constraints
- Error estimates for spectral approximation of elliptic control problems with integral state and control constraints
- A posteriori error estimates of recovery type for distributed convex optimal control problems
- Spectral Methods
- 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
- A Full Multigrid Method for Distributed Control Problems Constrained by Stokes Equations
- Optimization with PDE Constraints
- Convergence of a Finite Element Approximation to a State-Constrained Elliptic Control Problem
- A Posteriori Error Estimate of Optimal Control Problem of PDEs with Integral Constraint for State
- A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part II: Problems with Control Constraints
- A Legendre–Galerkin Spectral Method for Optimal Control Problems Governed by Elliptic Equations
- Control of an Elliptic Problem with Pointwise State Constraints
- The $h-p$ version of the finite element method with quasiuniform meshes
- Spectral Methods and Their Applications
- Error estimation of Hermite spectral method for nonlinear partial differential equations
- Spectral Methods in MATLAB
- Analysis of iterative methods for the viscous/inviscid coupled problem via a spectral element approximation
- A Posteriori Error Estimates for Control Problems Governed by Stokes Equations
- Superconvergence of H<sup>1</sup>-Galerkin Mixed Finite Element Methods for Elliptic Optimal Control Problems
- Fully Discrete H<sup>1</sup>-Galerkin Mixed Finite Element Methods for Parabolic Optimal Control Problems
- Finite Element Discretization of State-Constrained Elliptic Optimal Control Problems with Semilinear State Equation
- A Robust and Efficient Adaptive Multigrid Solver for the Optimal Control of Phase Field Formulations of Geometric Evolution Laws
- Finite Element Approximations of an Optimal Control Problem with Integral State Constraint
- hp-Interpolation of Nonsmooth Functions and an Application to hp-A posteriori Error Estimation
- Spectral Approximation of the Helmholtz Equation with High Wave Numbers
- A posteriori error estimates for distributed convex optimal control problems