Error analysis of spectral approximation for space-time fractional optimal control problems with control and state constraints
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Publication:2146324
DOI10.1016/j.cam.2022.114293OpenAlexW4224051126WikidataQ114201855 ScholiaQ114201855MaRDI QIDQ2146324
Yanping Chen, Xiuxiu Lin, Yunqing Huang
Publication date: 16 June 2022
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2022.114293
a posteriori error estimatesa priori error estimatesoptimal control problemsspace-time fractional diffusion equation
Fractional derivatives and integrals (26A33) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25) Fractional partial differential equations (35R11)
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Cites Work
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- Efficient and accurate spectral method using generalized Jacobi functions for solving Riesz fractional differential equations
- Galerkin spectral approximation of elliptic optimal control problems with \(H^1\)-norm state constraint
- A numerical technique for solving fractional optimal control problems
- Optimal control of a fractional diffusion equation with state constraints
- Fractional conservation laws in optimal control theory
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Spectral approximation for elliptic boundary value problems
- Second-order necessary optimality conditions for some state-constrained control problems of semilinear elliptic equations
- Time-stepping discontinuous Galerkin approximation of optimal control problem governed by time fractional diffusion equation
- Formulation of Euler-Lagrange equations for fractional variational problems
- Finite element approximation of optimal control problem governed by space fractional equation
- Finite element approximation of optimal control problems governed by time fractional diffusion equation
- A posteriori error estimates of \(hp\) spectral element methods for optimal control problems with \(L^2\)-norm state constraint
- A priori error analysis for time-stepping discontinuous Galerkin finite element approximation of time fractional optimal control problem
- \textit{A posteriori} error estimates for the fractional optimal control problems
- A-posteriori error estimates for optimal control problems with state and control constraints
- A general formulation and solution scheme for fractional optimal control problems
- Generalized Jacobi functions and their applications to fractional differential equations
- A Space-Time Fractional Optimal Control Problem: Analysis and Discretization
- Error Analysis of a High Order Method for Time-Fractional Diffusion Equations
- Spectral Methods
- A FEM for an Optimal Control Problem of Fractional Powers of Elliptic Operators
- Optimization with PDE Constraints
- Fractional Optimal Control in the Sense of Caputo and the Fractional Noether's Theorem
- A Space-Time Spectral Method for the Time Fractional Diffusion Equation
- 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
- Spectral Methods and Their Applications
- An a posteriori error analysis for an optimal control problem involving the fractional Laplacian
- Analysis of Spectral Projectors in One-Dimensional Domains
- Spectral Optimization Methods for the Time Fractional Diffusion Inverse Problem
- Finite Element Approximation of Space Fractional Optimal Control Problem with Integral State Constraint
- Legendre pseudo-spectral method for optimal control problem governed by a time-fractional diffusion equation
- Existence and Uniqueness of the Weak Solution of the Space-time Fractional Diffusion Equation and a Spectral Method Approximation
- Finite Element Method for the Space and Time Fractional Fokker–Planck Equation
- Hermite Spectral Methods for Fractional PDEs in Unbounded Domains
- Finite Element Approximations of an Optimal Control Problem with Integral State Constraint
- Spectral Approximation of the Helmholtz Equation with High Wave Numbers
- Pointwise-in-time error estimates for an optimal control problem with subdiffusion constraint
