Optimal convergence rates for semidiscrete finite element approximations of linear space-fractional partial differential equations under minimal regularity assumptions
DOI10.1016/j.cam.2018.12.004zbMath1410.65348OpenAlexW2904244000WikidataQ128737652 ScholiaQ128737652MaRDI QIDQ1736390
Yubin Yan, Zongqi Liang, Fang Liu
Publication date: 26 March 2019
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10034/621824
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial value problems for PDEs with pseudodifferential operators (35S10)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Superconvergence analysis of nonconforming finite element method for two-dimensional time fractional diffusion equations
- Galerkin finite element method for two-dimensional Riesz space fractional diffusion equations
- Fourier spectral methods for fractional-in-space reaction-diffusion equations
- An algorithm for the numerical solution of two-sided space-fractional partial differential equations
- Discontinuous Galerkin time stepping method for solving linear space fractional partial differential equations
- Galerkin finite element approximation of symmetric space-fractional partial differential equations
- Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
- Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
- An improved algorithm based on finite difference schemes for fractional boundary value problems with nonsmooth solution
- High-order numerical methods for solving time fractional partial differential equations
- Least squares finite-element solution of a fractional order two-point boundary value problem
- Chaos, fractional kinetics, and anomalous transport
- Finite difference approximations for fractional advection-dispersion flow equations
- A 2D multi-term time and space fractional Bloch-Torrey model based on bilinear rectangular finite elements
- Analytical solution and nonconforming finite element approximation for the 2D multi-term fractional subdiffusion equation
- Unstructured mesh finite difference/finite element method for the 2D time-space Riesz fractional diffusion equation on irregular convex domains
- A tunable finite difference method for fractional differential equations with non-smooth solutions
- A high-order scheme to approximate the Caputo fractional derivative and its application to solve the fractional diffusion wave equation
- A novel unstructured mesh finite element method for solving the time-space fractional wave equation on a two-dimensional irregular convex domain
- Numerical analysis of a two-parameter fractional telegraph equation
- A second-order accurate numerical approximation for the fractional diffusion equation
- Finite difference methods for two-dimensional fractional dispersion equation
- Finite Difference Method for Two-Sided Space-Fractional Partial Differential Equations
- An Efficient Implicit FEM Scheme for Fractional-in-Space Reaction-Diffusion Equations
- A Generalized Spectral Collocation Method with Tunable Accuracy for Variable-Order Fractional Differential Equations
- A Space-Time Spectral Method for the Time Fractional Diffusion Equation
- A Spectral Method (of Exponential Convergence) for Singular Solutions of the Diffusion Equation with General Two-Sided Fractional Derivative
- Regularity of the solution to 1-D fractional order diffusion equations
- Error Analysis of a Finite Element Method for the Space-Fractional Parabolic Equation
- A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation
- Existence and Uniqueness of the Weak Solution of the Space-time Fractional Diffusion Equation and a Spectral Method Approximation
- Local Discontinuous Galerkin methods for fractional diffusion equations
- Variational formulation for the stationary fractional advection dispersion equation
- Galerkin Finite Element Methods for Parabolic Problems
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
This page was built for publication: Optimal convergence rates for semidiscrete finite element approximations of linear space-fractional partial differential equations under minimal regularity assumptions
