Superconvergence analysis of the lowest order rectangular Raviart-Thomas element for semilinear parabolic equation

DOI10.1016/j.aml.2020.106280zbMath1437.65205OpenAlexW3005532823MaRDI QIDQ1985377

Huaijun Yang, Dong-Yang Shi

Publication date: 7 April 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106280

zbMATH Keywords

semilinear parabolic equationRaviart-Thomas elementsupercloseness and superconvergence

Mathematics Subject Classification ID

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) Semilinear elliptic equations (35J61)

Related Items (5)

A New Analysis for a Super-Convergence Result in the Divergence Norm for Lowest Order Raviart–Thomas Mixed Finite Elements Combined with the Crank–Nicolson Method Applied to One Dimensional Parabolic Equations ⋮ Quasi-uniform and unconditional superconvergence analysis of Ciarlet-Raviart scheme for the fourth order singularly perturbed bi-wave problem modeling \(d\)-wave superconductors ⋮ A new approach of superconvergence analysis of nonconforming Wilson finite element for semi-linear parabolic problem ⋮ A new two-grid mixed finite element analysis of semi-linear reaction-diffusion equation ⋮ Two new error estimates of a fully discrete primal-dual mixed finite element scheme for parabolic equations in any space dimension

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