A practical numerical scheme for the ternary Cahn-Hilliard system with a logarithmic free energy
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Publication:1618944
DOI10.1016/j.physa.2015.09.038zbMath1400.76050OpenAlexW2097881072MaRDI QIDQ1618944
Publication date: 13 November 2018
Published in: Physica A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physa.2015.09.038
finite difference methodphase separationmultigrid methodlogarithmic free energyternary Cahn-Hilliard
Finite difference methods applied to problems in fluid mechanics (76M20) 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)
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Cites Work
- Efficient numerical solution of discrete multi-component Cahn-Hilliard systems
- Finite element approximation of a model for phase separation of a multi-component alloy with non-smooth free energy
- An error bound for the finite element approximation of the Cahn-Hilliard equation with logarithmic free energy
- On anisotropic order parameter models for multi-phase systems and their sharp interface limits
- A numerical method for the Cahn-Hilliard equation with a variable mobility
- Second order schemes and time-step adaptivity for Allen-Cahn and Cahn-Hilliard models
- Numerical schemes for a three component Cahn-Hilliard model
- Hierarchy of consistent n-component Cahn–Hilliard systems
- Systems of Cahn–Hilliard Equations
- The Global Dynamics of Discrete Semilinear Parabolic Equations
- Finite element approximation of a model for phase separation of a multi-component alloy with a concentration-dependent mobility matrix
- A Multigrid Tutorial, Second Edition
- Numerical analysis of a model for phase separation of a multi-component alloy
- An error bound for the finite element approximation of a model for phase separation of a multi-component alloy
- An unconditionally stable uncoupled scheme for a triphasic Cahn–Hilliard/Navier–Stokes model
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
