Superconvergence analysis of the mixed finite element method for the Rosenau equation

DOI10.1016/j.jmaa.2019.123485zbMath1464.65128OpenAlexW2972761305MaRDI QIDQ2326001

Xu Jia, Dong-Yang Shi

Publication date: 4 October 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.123485

zbMATH Keywords

stabilityexistenceuniquenesssuperconvergencecombination techniquesuperclosenessmixed FEMimplicit CN scheme

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) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (9)

An \(H^1\)-Galerkin mixed finite element method for Rosenau equation ⋮ Double reduction order method based conservative compact schemes for the Rosenau equation ⋮ Integrated Chebyshev wavelets for numerical solution of nonlinear one-dimensional and two-dimensional Rosenau equations ⋮ A reduced-order extrapolated model based on splitting implicit finite difference scheme and proper orthogonal decomposition for the fourth-order nonlinear Rosenau equation ⋮ Nonconforming quasi-Wilson finite element approximation for the nonlinear Rosenau equation ⋮ A new two-grid mixed finite element analysis of semi-linear reaction-diffusion equation ⋮ Superconvergence analysis of a mixed finite element approximation for the nonlinear fourth-order rosenau-RLW equation ⋮ A reduced-order extrapolation technique for solution coefficient vectors in the mixed finite element method for the 2D nonlinear Rosenau equation ⋮ Convergence analysis of the Galerkin finite element method for the fourth-order Rosenau equation

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