A Second-Order Energy Stable BDF Numerical Scheme for the Viscous Cahn-Hilliard Equation with Logarithmic Flory-Huggins Potential (Q5157071)

scientific article; zbMATH DE number 7409142

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English	A Second-Order Energy Stable BDF Numerical Scheme for the Viscous Cahn-Hilliard Equation with Logarithmic Flory-Huggins Potential	scientific article; zbMATH DE number 7409142

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scholarly article

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title

A Second-Order Energy Stable BDF Numerical Scheme for the Viscous Cahn-Hilliard Equation with Logarithmic Flory-Huggins Potential (English)

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Advances in Applied Mathematics and Mechanics

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publication date

12 October 2021

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zbMATH Keywords

viscous Cahn-Hilliard

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logarithmic potential

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BDF scheme

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error estimates

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FreeFem++

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MaRDI publication profile

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cites work

Free Energy of a Nonuniform System. I. Interfacial Free Energy

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On the Phase Diagram for Microphase Separation of Diblock Copolymers: An Approach via a Nonlocal Cahn–Hilliard Functional

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Inpainting of Binary Images Using the Cahn–Hilliard Equation

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Three-dimensional multispecies nonlinear tumor growth. I: Model and numerical method

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Multimaterial structural topology optimization with a generalized Cahn-Hilliard model of multiphase transition

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On the derivation of thermodynamically consistent boundary conditions for the Cahn-Hilliard-Navier-Stokes system

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Multi-component Cahn-Hilliard system with different boundary conditions in complex domains

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A phase-field fluid modeling and computation with interfacial profile correction term

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A nonconforming finite element method for the Cahn-Hilliard equation

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Error Estimates with Smooth and Nonsmooth Data for a Finite Element Method for the Cahn-Hilliard Equation

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A mixed discontinuous Galerkin, convex splitting scheme for a modified Cahn-Hilliard equation and an efficient nonlinear multigrid solver

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A discontinuous Galerkin method for the Cahn-Hilliard equation

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Local discontinuous Galerkin methods for the Cahn-Hilliard type equations

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Discontinuous Galerkin Finite Element Approximation of the Cahn–Hilliard Equation with Convection

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Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation

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An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation

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Characterizing the Stabilization Size for Semi-Implicit Fourier-Spectral Method to Phase Field Equations

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Numerical analysis of second order, fully discrete energy stable schemes for phase field models of two-phase incompressible flows

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Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends

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A novel linear second order unconditionally energy stable scheme for a hydrodynamic \(\mathbf{Q} \)-tensor model of liquid crystals

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A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows

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Energy-Decaying Extrapolated RK--SAV Methods for the Allen--Cahn and Cahn--Hilliard Equations

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Arbitrarily high-order unconditionally energy stable SAV schemes for gradient flow models

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Energy stability and error estimates of exponential time differencing schemes for the epitaxial growth model without slope selection

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The Cahn–Hilliard–Oono equation with singular potential

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A Positivity-Preserving Second-Order BDF Scheme for the Cahn-Hilliard Equation with Variable Interfacial Parameters

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A positivity-preserving, energy stable and convergent numerical scheme for the Cahn-Hilliard equation with a Flory-Huggins-deGennes energy

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Finite element approximation of the Cahn-Hilliard equation with concentration dependent mobility

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Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes

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Convergence Analysis of Exponential Time Differencing Schemes for the Cahn-Hilliard Equation<sup>†</sup>

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An efficient two-grid method for the Cahn-Hilliard equation with the concentration-dependent mobility and the logarithmic Flory-Huggins bulk potential

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Decoupled, EnergyStableNumericalSchemeforthe Cahn-Hilliard-Hele-Shaw System with Logarithmic Flory-Huggins Potential

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Q3770238

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Viscous Cahn-Hilliard equation. II: Analysis

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An unconditionally stable numerical method for the viscous Cahn-Hilliard equation

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Optimal boundary control of a nonstandard viscous Cahn-Hilliard system with dynamic boundary condition

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A Second-Order Energy Stable BDF Numerical Scheme for the Cahn-Hilliard Equation

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Numerical comparison of modified-energy stable SAV-type schemes and classical BDF methods on benchmark problems for the functionalized Cahn-Hilliard equation

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A Second Order BDF Numerical Scheme with Variable Steps for the Cahn--Hilliard Equation

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Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation

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Numerical analysis for the Cahn-Hilliard-Hele-Shaw system with variable mobility and logarithmic Flory-Huggins potential

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full work available at URL

https://doi.org/10.4208/aamm.oa-2020-0123

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Identifiers

zbMATH Open document ID

1488.65463

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DOI

10.4208/aamm.OA-2020-0123

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5157071