Optimal control problem of the two-dimensional modified anomalous subdiffusion equation with discontinuous Galerkin approximation
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Publication:2203268
DOI10.1016/j.camwa.2019.05.022zbMath1442.65108OpenAlexW2948324846WikidataQ127753543 ScholiaQ127753543MaRDI QIDQ2203268
Publication date: 5 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2019.05.022
discontinuous Galerkin methodoptimal control problemRiemann-Liouville fractional derivativemodified anomalous subdiffusion equation
Numerical optimization and variational techniques (65K10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
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- The implicit midpoint method for the modified anomalous sub-diffusion equation with a nonlinear source term
- Optimal control of fractional diffusion equation
- Fractional calculus for scientists and engineers.
- Finite element approximation for a modified anomalous subdiffusion equation
- Optimal control of a fractional diffusion equation with state constraints
- Fractional order analysis of Sephadex gel structures: NMR measurements reflecting anomalous diffusion
- A characteristic finite element method for optimal control problems governed by convection-diffusion equations
- Recent history of fractional calculus
- A priori and a posteriori error analysis of edge stabilization Galerkin method for the optimal control problem governed by convection-dominated diffusion equation
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Fractional PDE constrained optimization: an optimize-then-discretize approach with L-BFGS and approximate inverse preconditioning
- Time-stepping discontinuous Galerkin approximation of optimal control problem governed by time fractional diffusion equation
- Investigation of commutative properties of discontinuous Galerkin methods in PDE constrained optimal control problems
- A compact LOD method and its extrapolation for two-dimensional modified anomalous fractional sub-diffusion equations
- Finite element approximation of optimal control problems governed by time fractional diffusion equation
- Local RBF-FD technique for solving the two-dimensional modified anomalous sub-diffusion equation
- Fractional viscoelasticity in fractal and non-fractal media: theory, experimental validation, and uncertainty analysis
- A new collection of real world applications of fractional calculus in science and engineering
- Variational time discretization methods for optimal control problems governed by diffusion-convection-reaction equations
- Diabetes mellitus and TB co-existence: clinical implications from a fractional order modelling
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Numerical simulation with the second order compact approximation of first order derivative for the modified fractional diffusion equation
- A general formulation and solution scheme for fractional optimal control problems
- A Comparison of a Moreau--Yosida-Based Active Set Strategy and Interior Point Methods for Constrained Optimal Control Problems
- High-order compact difference schemes for the modified anomalous subdiffusion equation
- Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
- A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part II: Problems with Control Constraints
- Primal-Dual Strategy for Constrained Optimal Control Problems
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Adaptive Finite Element Approximation for Distributed Elliptic Optimal Control Problems
- Fractional-Order Control Systems
- Error Estimates of the Discontinuous Galerkin Method for Nonlinear Nonstationary Convection-Diffusion Problems
- From diffusion to anomalous diffusion: A century after Einstein’s Brownian motion
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
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