A two-grid virtual element method for nonlinear variable-order time-fractional diffusion equation on polygonal meshes
DOI10.1080/00207160.2023.2263589OpenAlexW4387339080MaRDI QIDQ6060991
Qiling Gu, Jian-Wei Zhou, Yanping Chen, Yunqing Huang
Publication date: 6 November 2023
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2023.2263589
nonlineara priori error estimatevirtual element methodpolygonal meshestwo-gridvariable-order fractional equation
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Functional-differential equations with fractional derivatives (34K37)
Cites Work
- A two-grid finite element approximation for a nonlinear time-fractional Cable equation
- Some error analysis on virtual element methods
- Variable order and distributed order fractional operators
- Virtual element method for two-dimensional linear elasticity problem in mixed weakly symmetric formulation
- A two-grid mixed finite element method for a nonlinear fourth-order reaction-diffusion problem with time-fractional derivative
- Superconvergence analysis of a two-grid finite element method for nonlinear time-fractional diffusion equations
- Virtual elements for Maxwell's equations
- A mixed virtual element method for the time-fractional fourth-order subdiffusion equation
- Two-grid methods for semilinear time fractional reaction diffusion equations by expanded mixed finite element method
- A parareal finite volume method for variable-order time-fractional diffusion equations
- Two-grid finite volume element method for linear and nonlinear elliptic problems
- Wellposedness and regularity of the variable-order time-fractional diffusion equations
- Two-grid methods for nonlinear time fractional diffusion equations by \(L 1\)-Galerkin FEM
- A local projection stabilization virtual element method for the time-fractional Burgers equation with high Reynolds numbers
- Superconvergence analysis of finite element methods for the variable-order subdiffusion equation with weakly singular solutions
- A Generalized Spectral Collocation Method with Tunable Accuracy for Variable-Order Fractional Differential Equations
- Virtual element methods for parabolic problems on polygonal meshes
- Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
- A Novel Two-Grid Method for Semilinear Elliptic Equations
- A two-grid method for expanded mixed finite-element solution of semilinear reaction-diffusion equations
- Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- Analysis of Two-Grid Methods for Nonlinear Parabolic Equations by Expanded Mixed Finite Element Methods
- The Stokes complex for Virtual Elements in three dimensions
- Optimal-order error estimates of finite element approximations to variable-order time-fractional diffusion equations without regularity assumptions of the true solutions
- Conforming and nonconforming VEMs for the fourth-order reaction–subdiffusion equation: a unified framework
- The Hitchhiker's Guide to the Virtual Element Method
- A space-time spectral order sinc-collocation method for the fourth-order nonlocal heat model arising in viscoelasticity
- Two-grid virtual element discretization of semilinear elliptic problem
This page was built for publication: A two-grid virtual element method for nonlinear variable-order time-fractional diffusion equation on polygonal meshes