Positivity-preserving, energy stable numerical schemes for the Cahn-Hilliard equation with logarithmic potential
From MaRDI portal
Publication:6145381
DOI10.1016/j.jcpx.2019.100031arXiv1712.03225OpenAlexW2963236482WikidataQ127907122 ScholiaQ127907122MaRDI QIDQ6145381
No author found.
Publication date: 9 January 2024
Published in: Journal of Computational Physics: X (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.03225
Cahn-Hilliard equationenergy stabilitypositivity preservingoptimal rate convergence analysislogarithmic flory huggins energy potentialsecond order BDF scheme
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) Parabolic equations and parabolic systems (35Kxx)
Related Items (5)
Unconditionally energy stable and bound-preserving schemes for phase-field surfactant model with moving contact lines ⋮ Preconditioning for a Phase-Field Model with Application to Morphology Evolution in Organic Semiconductors ⋮ A linear second-order maximum bound principle-preserving BDF scheme for the Allen-Cahn equation with a general mobility ⋮ Stationary solutions and large time asymptotics to a cross-diffusion-Cahn-Hilliard system ⋮ A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system
Cites Work
- Unnamed Item
- Unnamed Item
- An \(H^2\) convergence of a second-order convex-splitting, finite difference scheme for the three-dimensional Cahn-Hilliard equation
- Energy stable and efficient finite-difference nonlinear multigrid schemes for the modified phase field crystal equation
- An unconditionally energy stable finite difference scheme for a stochastic Cahn-Hilliard equation
- High accuracy solutions to energy gradient flows from material science models
- Second order convex splitting schemes for periodic nonlocal Cahn-Hilliard and Allen-Cahn equations
- A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn-Hilliard-Navier-Stokes equation
- A linear iteration algorithm for a second-order energy stable scheme for a thin film model without slope selection
- A convergent convex splitting scheme for the periodic nonlocal Cahn-Hilliard equation
- On second order semi-implicit Fourier spectral methods for 2D Cahn-Hilliard equations
- Error analysis of a mixed finite element method for a Cahn-Hilliard-Hele-Shaw system
- Unconditionally stable finite difference, nonlinear multigrid simulation of the Cahn-Hilliard-Hele-Shaw system of equations
- The Cahn-Hilliard equation with logarithmic potentials
- Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation
- Unconditionally stable schemes for equations of thin film epitaxy
- On a diffuse interface model for two-phase flows of viscous, incompressible fluids with matched densities
- Numerical analysis of the Cahn-Hilliard equation with a logarithmic free energy
- Finite element approximation of a model for phase separation of a multi-component alloy with non-smooth free energy
- A practical numerical scheme for the ternary Cahn-Hilliard system with a logarithmic free energy
- Convergence analysis and error estimates for a second order accurate finite element method for the Cahn-Hilliard-Navier-Stokes system
- The Cahn-Hilliard-Hele-Shaw system with singular potential
- An error bound for the finite element approximation of the Cahn-Hilliard equation with logarithmic free energy
- On a phase-field model with a logarithmic nonlinearity.
- A linear energy stable scheme for a thin film model without slope selection
- Convergence to equilibrium for the Cahn-Hilliard equation with a logarithmic free energy
- Second order schemes and time-step adaptivity for Allen-Cahn and Cahn-Hilliard models
- Characterizing the Stabilization Size for Semi-Implicit Fourier-Spectral Method to Phase Field Equations
- Convergence analysis of a fully discrete finite difference scheme for the Cahn-Hilliard-Hele-Shaw equation
- Soft Matter Physics
- Convergence Analysis of a Second Order Convex Splitting Scheme for the Modified Phase Field Crystal Equation
- Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich–Schwoebel Type Energy: Application to Thin Film Epitaxy
- Analysis of a Darcy--Cahn--Hilliard Diffuse Interface Model for the Hele-Shaw Flow and Its Fully Discrete Finite Element Approximation
- Analysis of a Mixed Finite Element Method for a Cahn--Hilliard--Darcy--Stokes System
- A Componentwise Convex Splitting Scheme for Diffuse Interface Models with Van der Waals and Peng--Robinson Equations of State
- An Energy Stable and Convergent Finite-Difference Scheme for the Modified Phase Field Crystal Equation
- An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation
- Numerical Analysis of a Continuum Model of Phase Transition
- The Cahn–Hilliard gradient theory for phase separation with non-smooth free energy Part I: Mathematical analysis
- The Cahn–Hilliard gradient theory for phase separation with non-smooth free energy Part II: Numerical analysis
- Finite element approximation of the Cahn-Hilliard equation with concentration dependent mobility
- 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
- Robust exponential attractors for Cahn‐Hilliard type equations with singular potentials
- The Cahn–Hilliard–Oono equation with singular potential
- Stability and convergence of a second-order mixed finite element method for the Cahn–Hilliard equation
- Stability and Convergence Analysis of Second-Order Schemes for a Diffuse Interface Model with Peng-Robinson Equation of State
- The Cahn–Hilliard equation with a concentration dependent mobility: motion by minus the Laplacian of the mean curvature
- On the Cahn-Hilliard equation with a logarithmic free energy
- 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
- On the Cahn–Hilliard Equation with Degenerate Mobility
- Energy Stable Linear Schemes for Mass-Conserved Gradient Flows with Peng-Robinson Equation of State
- A Convex-Splitting Scheme for a Diffuse Interface Model with Peng-Robinson Equation of State
- A Second-Order Energy Stable BDF Numerical Scheme for the Cahn-Hilliard Equation
- On Linear and Unconditionally Energy Stable Algorithms for Variable Mobility Cahn-Hilliard Type Equation with Logarithmic Flory-Huggins Potential
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- Nonsmooth Schur-Newton methods for multicomponent Cahn-Hilliard systems
- A stable and conservative finite difference scheme for the Cahn-Hilliard equation
- An improved error bound for a finite element approximation of a model for phase separation of a multi-component alloy with a concentration dependent mobility matrix
This page was built for publication: Positivity-preserving, energy stable numerical schemes for the Cahn-Hilliard equation with logarithmic potential
