Superconvergence analysis of a two-grid method for an energy-stable Ciarlet-Raviart type scheme of Cahn-Hilliard equation

DOI10.1007/s11075-019-00829-0zbMath1465.65101OpenAlexW2983928772WikidataQ126812112 ScholiaQ126812112MaRDI QIDQ2200798

Qian Liu, Dong-Yang Shi

Publication date: 22 September 2020

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-019-00829-0

zbMATH Keywords

CH equationTGMMFEMsuperconvergent estimates

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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (7)

Superconvergence error analysis of Ciarlet-Raviart mixed finite element method for damped Boussinesq equation ⋮ A Scalar Auxiliary Variable (SAV) Finite Element Numerical Scheme for the Cahn-Hilliard-Hele-Shaw System with Dynamic Boundary Conditions ⋮ Numerical analysis of two-dimensional unsaturated soil water flow problems with two-grid finite element methods ⋮ Fast algorithm based on TT-M FE method for modified Cahn-Hilliard equation ⋮ A new two-grid mixed finite element analysis of semi-linear reaction-diffusion equation ⋮ A new symmetric mixed element method for semi-linear parabolic problem based on two-grid discretization ⋮ Superconvergence analysis of a two-grid finite element method for nonlinear time-fractional diffusion equations

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