Error estimation of a class of stable spectral approximation to the Cahn-Hilliard equation

DOI10.1007/s10915-009-9309-xzbMath1203.65197OpenAlexW2018728680MaRDI QIDQ618521

Li-Ping He

Publication date: 16 January 2011

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-009-9309-x

zbMATH Keywords

convergenceexistenceuniquenessCahn-Hilliard equationstable spectral schemes

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Theoretical approximation in context of PDEs (35A35) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Weak solutions to PDEs (35D30)

Related Items (11)

On the Cahn-Hilliard equation with no-flux and strong anchoring conditions ⋮ The least squares spectral element method for the Cahn-Hilliard equation ⋮ A three level linearized compact difference scheme for the Cahn-Hilliard equation ⋮ A second-order conservational difference scheme for the one-dimensional model of martensitic transformations with nonlinear boundary conditions ⋮ Minimizers for the Cahn--Hilliard Energy Functional under Strong Anchoring Conditions ⋮ Error analysis of a mixed finite element method for a Cahn-Hilliard-Hele-Shaw system ⋮ An implicit difference scheme for the time-fractional Cahn-Hilliard equations ⋮ Direct solver for the Cahn-Hilliard equation by Legendre-Galerkin spectral method ⋮ A Time Splitting Space Spectral Element Method for the Cahn-Hilliard Equation ⋮ Convergence analysis of a fully discrete finite difference scheme for the Cahn-Hilliard-Hele-Shaw equation ⋮ A local meshless method for transient nonlinear problems: preliminary investigation and application to phase-field models

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