A Time-Fractional Mean-Field Control Modeling Subdiffusive Advective Transport
DOI10.1137/22m1527726zbMath1529.35425MaRDI QIDQ6141726
Xiangcheng Zheng, Hong Wang, Zhiwei Yang, Wuchen Li
Publication date: 20 December 2023
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
finite element methodHamilton-Jacobi equationtime-fractionalnumerical resolutiondecoupling algorithmmean field controlsubdiffusive advective transport
Flows in porous media; filtration; seepage (76S05) Soil and rock mechanics (74L10) Fractional derivatives and integrals (26A33) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence theories for optimal control problems involving partial differential equations (49J20) Hamilton-Jacobi equations (35F21) Fractional partial differential equations (35R11) Pattern formations in context of PDEs (35B36) Mean field games and control (49N80) PDE constrained optimization (numerical aspects) (49M41) Transport equations (35Q49)
Cites Work
- Unnamed Item
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- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- Variational time-fractional mean field games
- Mean field games
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- A probabilistic collocation eulerian-Lagrangian localized adjoint method on sparse grids for assessing \(\operatorname{CO}_2\) leakage through wells in randomly heterogeneous porous media
- Modeling uncertainty in flow simulations via generalized polynomial chaos.
- A first-order primal-dual algorithm for convex problems with applications to imaging
- Accelerated information gradient flow
- Approximation of an optimal control problem for the time-fractional Fokker-Planck equation
- Computational mean-field information dynamics associated with reaction-diffusion equations
- Existence and regularity results for viscous Hamilton-Jacobi equations with Caputo time-fractional derivative
- A time-fractional mean field game
- Second-order numerical methods for multi-term fractional differential equations: smooth and non-smooth solutions
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Fractional modeling of viscoelasticity in 3D cerebral arteries and aneurysms
- Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle
- A fully discrete difference scheme for a diffusion-wave system
- A Space-Time Fractional Optimal Control Problem: Analysis and Discretization
- Semismooth Newton Methods for Optimal Control of the Wave Equation with Control Constraints
- Time-Dependent Mean-Field Games with Logarithmic Nonlinearities
- Mixed and Hybrid Finite Element Methods
- An Approximation to Miscible Fluid Flows in Porous Media with Point Sources and Sinks by an Eulerian--Lagrangian Localized Adjoint Method and Mixed Finite Element Methods
- Finite Volume Methods for Hyperbolic Problems
- On the Existence and Uniqueness of Solutions to Time-Dependent Fractional MFG
- Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations
- On the Lagrange--Newton--SQP Method for the Optimal Control of Semilinear Parabolic Equations
- Convergence Analysis of Machine Learning Algorithms for the Numerical Solution of Mean Field Control and Games I: The Ergodic Case
- Optimal-order error estimates of finite element approximations to variable-order time-fractional diffusion equations without regularity assumptions of the true solutions
- Approximation of Hamilton-Jacobi equations with Caputo time-fractional derivative
- Controlling Propagation of Epidemics via Mean-Field Control
- Computational Methods for First-Order Nonlocal Mean Field Games with Applications
- A Component-Based Eulerian--Lagrangian Formulation for Multicomponent Multiphase Compositional Flow and Transport in Porous Media
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- Numerical methods for nonlocal and fractional models
- Stochastic models for fractional calculus
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
- On numerical approximations of fractional and nonlocal mean field games
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