Effective Time Step Analysis of a Nonlinear Convex Splitting Scheme for the Cahn–Hilliard Equation

DOI10.4208/cicp.OA-2017-0260zbMath1483.65138MaRDI QIDQ5161365

Junseok Kim, Seunggyu Lee

Publication date: 29 October 2021

Published in: Communications in Computational Physics (Search for Journal in Brave)

zbMATH Keywords

Fourier analysisCahn-Hilliard equationconvex splittingeffective time step

Mathematics Subject Classification ID

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) Numerical methods for discrete and fast Fourier transforms (65T50) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (10)

Effective time step analysis for the Allen–Cahn equation with a high‐order polynomial free energy ⋮ Unconditionally strong energy stable scheme for Cahn–Hilliard equation with second‐order temporal accuracy ⋮ Local volume-conservation-improved diffuse interface model for simulation of Rayleigh-Plateau fluid instability ⋮ Large time-stepping, delay-free, and invariant-set-preserving integrators for the viscous Cahn-Hilliard-Oono equation ⋮ Hessian recovery based finite element methods for the Cahn-Hilliard equation ⋮ An Efficient Finite Element Method with Exponential Mesh Refinement for the Solution of the Allen-Cahn Equation in Non-Convex Polygons ⋮ An unconditionally stable splitting method for the Allen-Cahn equation with logarithmic free energy ⋮ Effective time step analysis of convex splitting schemes for the Swift-Hohenberg equation ⋮ A third order exponential time differencing numerical scheme for no-slope-selection epitaxial thin film model with energy stability ⋮ Convex Splitting Method for Strongly Anisotropic Solid-State Dewetting Problems in Two Dimensions

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