Superconvergence analysis of nonconforming finite element method for two-dimensional time-fractional Allen-Cahn equation
DOI10.1016/j.aml.2023.108569zbMath1517.65093OpenAlexW4313655928MaRDI QIDQ6101817
Yi-Fa Tang, Fen-Ling Wang, Ya-Bing Wei, Yan-Min Zhao
Publication date: 20 June 2023
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2023.108569
initial singularityglobal superconvergencenonconforming FEMtime-fractional Allen-Cahn equation\(L2\)-\(1_{\sigma}\) scheme
Numerical computation of solutions to systems of equations (65H10) 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) Numerical interpolation (65D05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Crystals in solids (74N05) PDEs in connection with mechanics of deformable solids (35Q74) Fractional partial differential equations (35R11)
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Cites Work
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