High accuracy analysis of an \(H^1\)-Galerkin mixed finite element method for two-dimensional time fractional diffusion equations
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Publication:1668555
DOI10.1016/j.camwa.2017.06.057zbMath1397.65191OpenAlexW2737657582MaRDI QIDQ1668555
Fawang Liu, Y. H. Shi, Yi-Fa Tang, Zheng-Guang Shi, Fen-Ling Wang, Yan-Min Zhao
Publication date: 29 August 2018
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2017.06.057
superconvergenceanisotropic meshsuperclose\(L1\) approximationtime-fractional diffusion equations\(H^1\)-Galerkin mixed finite element method
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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Fractional partial differential equations (35R11)
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Cites Work
- Unnamed Item
- Unnamed Item
- A new approach of superconvergence analysis for nonlinear BBM equation on anisotropic meshes
- Superconvergence analysis of nonconforming finite element method for two-dimensional time fractional diffusion equations
- Finite element method for two-dimensional space-fractional advection-dispersion equations
- Galerkin finite element method for two-dimensional Riesz space fractional diffusion equations
- Finite difference/finite element method for two-dimensional space and time fractional Bloch-Torrey equations
- Numerical algorithm with high spatial accuracy for the fractional diffusion-wave equation with von Neumann boundary conditions
- Moving finite element methods for time fractional partial differential equations
- An implicit RBF meshless approach for time fractional diffusion equations
- A second order finite difference-spectral method for space fractional diffusion equations
- Two mixed finite element methods for time-fractional diffusion equations
- The optimal error estimate and superconvergence of the local discontinuous Galerkin methods for one-dimensional linear fifth order time dependent equations
- High-order finite element methods for time-fractional partial differential equations
- \(L^2\)-error estimates for Dirichlet and Neumann problems on anisotropic finite element meshes
- The Galerkin finite element method for a multi-term time-fractional diffusion equation
- Highly efficient \(H^1\)-Galerkin mixed finite element method (MFEM) for parabolic integro-differential equation
- Convergence analysis for \( H^1\)-Galerkin mixed finite element approximation of one nonlinear integro-differential model
- Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
- Implicit finite difference approximation for time fractional diffusion equations
- Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation
- \(H^1\)-Galerkin mixed finite element methods for pseudo-hyperbolic equations
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Numerical solution of the space fractional Fokker-Planck equation.
- A computational study of an implicit local discontinuous Galerkin method for time-fractional diffusion equations
- Parameter estimation for the fractional fractal diffusion model based on its numerical solution
- Superconvergence analysis of finite element method for the time-dependent Schrödinger equation
- Analytical solution and nonconforming finite element approximation for the 2D multi-term fractional subdiffusion equation
- A novel compact numerical method for solving the two-dimensional non-linear fractional reaction-subdiffusion equation
- An \(H^1\)-Galerkin mixed finite element method for time fractional reaction-diffusion equation
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Implicit difference approximation for the two-dimensional space-time fractional diffusion equation
- \(H^1\)-Galerkin mixed finite element method for the regularized long wave equation
- Two finite difference schemes for time fractional diffusion-wave equation
- Stability of Explicit One-Step Methods for P1-Finite Element Approximation of Linear Diffusion Equations on Anisotropic Meshes
- Plane anisotropic rari-constant materials
- New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation
- AnH1-Galerkin Mixed Finite Element Method for Parabolic Partial Differential Equations
- Anisotropic interpolation and quasi-Wilson element for narrow quadrilateral meshes
- AnH1-Galerkin Mixed Finite Element Method for an Evolution Equation with a Positive-Type Memory Term
- FINITE DIFFERENCE SCHEMES FOR VARIABLE-ORDER TIME FRACTIONAL DIFFUSION EQUATION
- H1‐Galerkin expanded mixed finite element methods for nonlinear pseudo‐parabolic integro‐differential equations
- ANISOTROPIC QUASI-WILSON ELEMENT WITH CONFORMING FINITE ELEMENT APPROXIMATION FOR COUPLED CONTINUUM PIPE-FLOW/DARCY MODEL IN KARST AQUIFERS
- A Discontinuous Petrov--Galerkin Method for Time-Fractional Diffusion Equations
- A Novel High Order Space-Time Spectral Method for the Time Fractional Fokker--Planck Equation
- Anisotropic fractional diffusion tensor imaging
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
- Superconvergence of both the Crouzeix-Raviart and Morley elements
