Stability and convergence of the spectral Galerkin method for the Cahn-Hilliard equation

DOI10.1002/num.20328zbMath1157.65053OpenAlexW2151917717WikidataQ115398589 ScholiaQ115398589MaRDI QIDQ3539903

Yun-xian Liu, Yin-Nian He

Publication date: 19 November 2008

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20328

zbMATH Keywords

stabilityconvergenceweak solutionerror estimatespectral Galerkin methodperiodic Cahn-Hilliard equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (24)

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Cites Work

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• Error analysis of a mixed finite element method for the Cahn-Hilliard equation
• On large time-stepping methods for the Cahn-Hilliard equation
• Corrections for the paper ``On the two-phase Stefan problem with interfacial energy and entropy
• Global attractors for singular perturbations of the Cahn-Hilliard equations
• The Cahn-Hilliard's equation with boundary nonlinearity and high viscosity
• Front migration in the nonlinear Cahn-Hilliard equation
• Motion of bubbles towards the boundary for the Cahn–Hilliard equation
• Exponential attractors for the Cahn-Hilliard equation with dynamic boundary conditions
• Nonlinear Galerkin Methods
• Thin film epitaxy with or without slope selection
• A stable and conservative finite difference scheme for the Cahn-Hilliard equation

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