Superconvergence analysis of an \(H^1\)-Galerkin mixed finite element method for nonlinear BBM equation

DOI10.1016/j.aml.2018.10.025zbMath1412.65154OpenAlexW2900044207MaRDI QIDQ1726601

Xiangyu Shi, Lin-Zhang Lu

Publication date: 20 February 2019

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

Full work available at URL: https://doi.org/10.1016/j.aml.2018.10.025

zbMATH Keywords

BBM equationsuperconvergencesuperclosenessMFEMsemi- and fully-discrete schemes

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) 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)

Related Items (6)

Unconditional Superconvergent Analysis of Quasi-Wilson Element for Benjamin-Bona-Mahoney Equation ⋮ Unconditional superconvergence analysis of an energy conservation scheme with Galerkin FEM for nonlinear Benjamin-Bona-Mahony equation ⋮ Superconvergence analysis of an \(H^1\)-Galerkin mixed FEM for Klein-Gordon-Zakharov equations with power law nonlinearity ⋮ Unconditional superconvergence analysis of an energy-preserving finite element scheme for nonlinear BBM equation ⋮ A new combined scheme of \(H^1\)-Galerkin FEM and TGM for bacterial equations ⋮ A new two-grid nonconforming mixed finite element method for nonlinear Benjamin-Bona-Mahoney equation

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