Superconvergence analysis of anH1-Galerkin mixed finite element method for two-dimensional multi-term time fractional diffusion equations
DOI10.1080/00207160.2017.1343471zbMath1499.65526OpenAlexW2625484724MaRDI QIDQ5028566
Y. H. Shi, Zheng-Guang Shi, Yi-Fa Tang, Yan-Min Zhao, Fen-Ling Wang
Publication date: 10 February 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2017.1343471
stabilitysuperclose and superconvergence\(L1\) approximation\(H^1\)-Galerkin mixed finite elementmulti-term time fractional diffusion equation
Fractional derivatives and integrals (26A33) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Convergence and superconvergence analyses of HDG methods for time fractional diffusion problems
- Superconvergence analysis of nonconforming finite element method for two-dimensional time fractional diffusion equations
- Maximum principle for the multi-term time-fractional diffusion equations with the Riemann-Liouville fractional derivatives
- Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain
- Moving finite element methods for time fractional partial differential equations
- Stability and convergence of an effective finite element method for multiterm fractional partial differential equations
- An implicit RBF meshless approach for time fractional diffusion equations
- Two mixed finite element methods for time-fractional diffusion equations
- High-order finite element methods for time-fractional partial differential equations
- Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation
- Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications
- The Galerkin finite element method for a multi-term time-fractional diffusion equation
- Nonconforming \(H^{1}\)-Galerkin mixed FEM for Sobolev equations on anisotropic meshes
- A hybridizable discontinuous Galerkin method for fractional diffusion problems
- Implicit finite difference approximation for time fractional diffusion equations
- \(H^1\)-Galerkin mixed finite element methods for pseudo-hyperbolic equations
- A computational study of an implicit local discontinuous Galerkin method for time-fractional diffusion equations
- A high-order spectral method for the multi-term time-fractional diffusion equations
- Analytical solution and nonconforming finite element approximation for the 2D multi-term fractional 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
- \(H^1\)-Galerkin mixed finite element method for the regularized long wave equation
- AnH1-Galerkin Mixed Finite Element Method for Parabolic Partial Differential Equations
- H1-Galerkin mixed finite element methods for parabolic partial integro-differential equations
- AnH1-Galerkin Mixed Finite Element Method for an Evolution Equation with a Positive-Type Memory Term
- A Discontinuous Petrov--Galerkin Method for Time-Fractional Diffusion Equations
This page was built for publication: Superconvergence analysis of anH1-Galerkin mixed finite element method for two-dimensional multi-term time fractional diffusion equations
