Superconvergence analysis of a two-grid finite element method for nonlinear time-fractional diffusion equations

DOI10.1007/s40314-022-02070-3zbMath1500.65056OpenAlexW4307102033MaRDI QIDQ2091388

Yunqing Huang, Yanping Chen, Qiling Gu

Publication date: 1 November 2022

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-022-02070-3

zbMATH Keywords

finite-element methodtwo-grid methodsuperclose and superconvergence\(L1\) schemenonlinear time-fractional sub-diffusion

Mathematics Subject Classification ID

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) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Fractional partial differential equations (35R11)

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