Superconvergence of a finite element method for the time-fractional diffusion equation with a time-space dependent diffusivity
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Publication:2125742
DOI10.1186/s13662-020-02976-4zbMath1486.65159OpenAlexW3087025693MaRDI QIDQ2125742
Publication date: 14 April 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-020-02976-4
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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)
Related Items (9)
Discrete singular convolution for fourth-order multi-term time fractional equation ⋮ \(\alpha\)-robust \(H^1\)-norm analysis of a finite element method for the superdiffusion equation with weak singularity solutions ⋮ Global superconvergence analysis of nonconforming finite element method for time fractional reaction-diffusion problem with anisotropic data ⋮ Existence of a unique weak solution to a non-autonomous time-fractional diffusion equation with space-dependent variable order ⋮ Superconvergence analysis of finite element methods for the variable-order subdiffusion equation with weakly singular solutions ⋮ Local error estimates of the fourth-order compact difference scheme for a time-fractional diffusion-wave equation ⋮ Optimal pointwise-in-time error analysis of a mixed finite element method for a multi-term time-fractional fourth-order equation ⋮ \(\beta\)-robust superconvergent analysis of a finite element method for the distributed order time-fractional diffusion equation ⋮ Local \(H^1\)-norm error analysis of a mixed finite element method for a time-fractional biharmonic equation
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