Superconvergence analysis of two-grid finite element method for nonlinear Benjamin-Bona-Mahony equation

DOI10.1016/j.apnum.2019.08.027zbMath1479.65010OpenAlexW2970881402MaRDI QIDQ2010256

Xu Jia, Dong-Yang Shi

Publication date: 27 November 2019

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2019.08.027

zbMATH Keywords

stabilitytwo-grid methodBenjamin-Bona-Mahony equationsupercloseness and superconvergencesecond-order backward differentiation formula

Mathematics Subject Classification ID

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

Related Items (11)

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 ⋮ Convergence and superconvergence analysis of energy-preserving Crank–Nicolson Galerkin method for the Benjamin–Bona–Mahony equation ⋮ Unconditional superconvergence analysis of an energy-preserving finite element scheme for nonlinear BBM equation ⋮ Periodic Behaviors of a Linear Fourth-Order Difference Solution to the Benjamin–Bona–Mahony-Type Equation with Time-Periodic Boundaries ⋮ Uniform Superconvergence Analysis of a Two-Grid Mixed Finite Element Method for the Time-Dependent Bi-Wave Problem Modeling $D$-Wave Superconductors ⋮ A new combined scheme of \(H^1\)-Galerkin FEM and TGM for bacterial equations ⋮ Superconvergence analysis of a MFEM for BBM equation with a stable scheme ⋮ A new approach of superconvergence analysis of nonconforming Wilson finite element for semi-linear parabolic problem ⋮ Unconditional superconvergence of the fully-discrete schemes for nonlinear prey-predator model ⋮ Unconditional superconvergence analysis of an energy-stable finite element scheme for nonlinear Benjamin-Bona-Mahony-Burgers equation

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