Discretization and analysis of an optimal control of a variable-order time-fractional diffusion equation with pointwise constraints
From MaRDI portal
Publication:2148113
DOI10.1007/s10915-022-01795-xOpenAlexW4226189332MaRDI QIDQ2148113
Publication date: 21 June 2022
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-022-01795-x
optimal controlregularityfinite element methodwell-posednesserror estimatevariable-order time-fractional diffusion equation
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods in optimal control (49Mxx) Parabolic equations and parabolic systems (35Kxx)
Related Items
Analysis and Simulation of Optimal Control for a Two-Time-Scale Fractional Advection-Diffusion-Reaction Equation with Space-Time-Dependent Order and Coefficients, Numerical reconstruction of a discontinuous diffusive coefficient in variable-order time-fractional subdiffusion
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Optimal control of fractional diffusion equation
- Galerkin finite element methods for parabolic problems
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- A variational discretization concept in control constrained optimization: The linear-quadratic case
- Variable order and distributed order fractional operators
- Stochastic representation of solution to nonlocal-in-time diffusion
- Finite element approximation of optimal control problems governed by time fractional diffusion equation
- A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations
- Wellposedness and smoothing properties of history-state-based variable-order time-fractional diffusion equations
- An efficient space-time method for time fractional diffusion equation
- Wellposedness and regularity of the variable-order time-fractional diffusion equations
- A time-fractional diffusion equation with space-time dependent hidden-memory variable order: analysis and approximation
- A Space-Time Fractional Optimal Control Problem: Analysis and Discretization
- Analytic Regularity and GPC Approximation for Control Problems Constrained by Linear Parametric Elliptic and Parabolic PDEs
- Directional Sparsity in Optimal Control of Partial Differential Equations
- Combining maximal regularity and energy estimates for time discretizations of quasilinear parabolic equations
- Space-Time Adaptive Wavelet Methods for Optimal Control Problems Constrained by Parabolic Evolution Equations
- A Generalized Spectral Collocation Method with Tunable Accuracy for Variable-Order Fractional Differential Equations
- Constrained Dirichlet Boundary Control in $L^2$ for a Class of Evolution Equations
- A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part I: Problems Without Control Constraints
- A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part II: Problems with Control Constraints
- Correction of High-Order BDF Convolution Quadrature for Fractional Evolution Equations
- Error Analysis of Fully Discrete Finite Element Approximations to an Optimal Control Problem Governed by a Time-Fractional PDE
- Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term
- Fractional Variational Calculus of Variable Order
- A Hidden-Memory Variable-Order Time-Fractional Optimal Control Model: Analysis and Approximation
- Well-posedness and numerical approximation of a fractional diffusion equation with a nonlinear variable order
- Optimal-order error estimates of finite element approximations to variable-order time-fractional diffusion equations without regularity assumptions of the true solutions
- A Spectrally Accurate Approximation to Subdiffusion Equations Using the Log Orthogonal Functions
- A Priori Error Estimates for the Optimal Control of the Integral Fractional Laplacian
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- Local Discontinuous Galerkin methods for fractional diffusion equations
- Pointwise-in-time error estimates for an optimal control problem with subdiffusion constraint
- Stochastic models for fractional calculus
- Analysis of fractional differential equations
- The random walk's guide to anomalous diffusion: A fractional dynamics approach