Why large time-stepping methods for the Cahn-Hilliard equation is stable

DOI10.1090/MCOM/3768zbMath1497.35378arXiv2111.06189OpenAlexW3214388386MaRDI QIDQ5103749

No author found.

Publication date: 8 September 2022

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.06189

zbMATH Keywords

maximum principlestabilizationCahn-Hilliard

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Maximum principles in context of PDEs (35B50) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (5)

A family of structure-preserving exponential time differencing Runge-Kutta schemes for the viscous Cahn-Hilliard equation ⋮ Dissipation-preserving discretization of the Cahn-Hilliard equation with dynamic boundary conditions ⋮ An improved phase-field algorithm for simulating the impact of a drop on a substrate in the presence of surfactants ⋮ On the maximum principle and high-order, delay-free integrators for the viscous Cahn–Hilliard equation ⋮ A maximum bound principle preserving iteration technique for a class of semilinear parabolic equations

Cites Work

• Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
• On large time-stepping methods for the Cahn-Hilliard equation
• Unconditionally stable schemes for equations of thin film epitaxy
• Unconditional energy stability analysis of a second order implicit-explicit local discontinuous Galerkin method for the Cahn-Hilliard equation
• The scalar auxiliary variable (SAV) approach for gradient flows
• A linear energy stable scheme for a thin film model without slope selection
• On the Euler-Poincaré equation with non-zero dispersion
• On a frequency localized Bernstein inequality and some generalized Poincaré-type inequalities
• Stability of the Semi-Implicit Method for the Cahn-Hilliard Equation with Logarithmic Potentials
• Stability and convergence analysis for the implicit-explicit method to the Cahn-Hilliard equation
• Arbitrarily High-Order Exponential Cut-Off Methods for Preserving Maximum Principle of Parabolic Equations
• Free Energy of a Nonuniform System. I. Interfacial Free Energy
• Stability Analysis of Large Time‐Stepping Methods for Epitaxial Growth Models
• Effective Maximum Principles for Spectral Methods

This page was built for publication: Why large time-stepping methods for the Cahn-Hilliard equation is stable