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Numerical Analysis of a Continuum Model of Phase Transition
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Non-Homogeneous Boundary Value Problems and Applications
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A second order splitting method for the Cahn-Hilliard equation
inferredcites →https://doi.org/10.1016/s0168-2024(08)x7014-6openalex-snapshot
The Finite Element Method for Elliptic Problems
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Numerical Studies of the Cahn-Hilliard Equation for Phase Separation
inferredcites →https://doi.org/10.2307/2320609openalex-snapshot
Elementary Differential Equations and Boundary Value Problems.
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On linear schemes for a Cahn–Hilliard diffuse interface model
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Energy stable and efficient finite-difference nonlinear multigrid schemes for the modified phase field crystal equation
inferred← citeshttps://doi.org/10.1016/j.jcp.2013.04.031openalex-snapshot
An adaptive time-stepping strategy for solving the phase field crystal model
inferred← citeshttps://doi.org/10.1016/j.jcp.2013.09.049openalex-snapshot
High accuracy solutions to energy gradient flows from material science models
inferred← citeshttps://doi.org/10.1016/j.jcp.2013.12.044openalex-snapshot
Accurate, efficient, and (iso)geometrically flexible collocation methods for phase-field models
inferred← citeshttps://doi.org/10.1016/j.jcp.2014.12.046openalex-snapshot
Efficient energy stable numerical schemes for a phase field moving contact line model
inferred← citeshttps://doi.org/10.1016/j.jcp.2016.01.018openalex-snapshot
Computational studies of coarsening rates for the Cahn–Hilliard equation with phase-dependent diffusion mobility
inferred← citeshttps://doi.org/10.1016/j.jcp.2017.04.039openalex-snapshot
Multiphase Allen–Cahn and Cahn–Hilliard models and their discretizations with the effect of pairwise surface tensions
inferred← citeshttps://doi.org/10.1016/j.jcp.2017.11.034openalex-snapshot
Bracket formulations and energy- and helicity-preserving numerical methods for incompressible two-phase flows
inferred← citeshttps://doi.org/10.1016/j.jcp.2018.01.028openalex-snapshot
A positivity preserving and conservative variational scheme for phase-field modeling of two-phase flows
inferred← citeshttps://doi.org/10.1016/j.jcp.2018.04.022openalex-snapshot
An adaptive variational procedure for the conservative and positivity preserving Allen–Cahn phase-field model
inferred← citeshttps://doi.org/10.1016/j.jcp.2019.01.056openalex-snapshot
Hessian recovery based finite element methods for the Cahn-Hilliard equation
inferred← citeshttps://doi.org/10.1016/j.jcp.2021.110688openalex-snapshot
High order, semi-implicit, energy stable schemes for gradient flows
inferred← citeshttps://doi.org/10.1016/j.jcp.2022.111026openalex-snapshot
A second-order time accurate and fully-decoupled numerical scheme of the Darcy-Newtonian-Nematic model for two-phase complex fluids confined in the Hele-Shaw cell
inferred← citeshttps://doi.org/10.1016/j.jcp.2022.111289openalex-snapshot
An entropy stable scheme for the non-linear Boltzmann equation
inferred← citeshttps://doi.org/10.1016/j.jcp.2024.113598openalex-snapshot
Auxiliary relaxation method to derive thermodynamically consistent phase field models with constraints and structure preserving numerical approximations
inferred← citeshttps://doi.org/10.1016/j.jcpx.2019.100031openalex-snapshot
Positivity-preserving, energy stable numerical schemes for the Cahn-Hilliard equation with logarithmic potential
inferred← citeshttps://doi.org/10.1016/j.jmaa.2005.02.041openalex-snapshot
The Dirichlet boundary problem for a nonlocal Cahn–Hilliard equation
inferred← citeshttps://doi.org/10.1016/j.jmaa.2016.04.040openalex-snapshot
Uniform H2-regularity of solution for the 2D Navier–Stokes/Cahn–Hilliard phase field model
inferred← citeshttps://doi.org/10.1016/j.jocs.2023.102200openalex-snapshot
On the convergence of overlapping and non-overlapping Schwarz methods for the Cahn–Hilliard equation
inferred← citeshttps://doi.org/10.1016/j.matcom.2016.03.004openalex-snapshot
Two-level methods for the Cahn–Hilliard equation
inferred← citeshttps://doi.org/10.1016/j.matcom.2023.07.028openalex-snapshot
Diagonalization based Parallel-in-Time method for a class of fourth order time dependent PDEs
inferred← citeshttps://doi.org/10.1016/j.matcom.2024.04.005openalex-snapshot
High-order energy stable variable-step schemes for the time-fractional Cahn–Hilliard model
inferred← citeshttps://doi.org/10.1016/j.matcom.2025.04.023openalex-snapshot
A novel BDF-spectral method and its error analysis for Cahn–Hilliard equation in polar geometry
inferred← citeshttps://doi.org/10.1016/s0096-3003(03)00325-4openalex-snapshot
Stable finite difference scheme for a model equation of phase separation
inferred← citeshttps://doi.org/10.1016/s0377-0427(02)00566-6openalex-snapshot
The Legendre collocation method for the Cahn–Hilliard equation
inferred← citeshttps://doi.org/10.1016/s0898-1221(02)00142-6openalex-snapshot
The Fourier collocation method for the Cahn-Hilliard equation
inferred← citeshttps://doi.org/10.1017/jfm.2020.465openalex-snapshot
Thermodynamically consistent phase-field modelling of contact angle hysteresis
inferred← citeshttps://doi.org/10.1051/m2an/2010072openalex-snapshot
Numerical schemes for a three component Cahn-Hilliard model
inferred← citeshttps://doi.org/10.1051/m2an/2019085openalex-snapshot
Analysis of the Morley element for the Cahn–Hilliard equation and the Hele-Shaw flow
inferred← citeshttps://doi.org/10.1051/m2an/2021056openalex-snapshot
Fully-discrete finite element numerical scheme with decoupling structure and energy stability for the Cahn–Hilliard phase-field model of two-phase incompressible flow system with variable density and viscosity
inferred← citeshttps://doi.org/10.1051/m2an/2023017openalex-snapshot
Stability and discretization error analysis for the Cahn–Hilliard system via relative energy estimates
inferred← citeshttps://doi.org/10.1063/5.0177573openalex-snapshot
Energy stable symmetric interior penalty discontinuous Galerkin finite element for a growth Cahn-Hilliard equation
inferred← citeshttps://doi.org/10.1080/00036811.2026.2685841openalex-snapshot
Discretization strategies for optimal control of the Cahn-Hilliard equation
inferred← citeshttps://doi.org/10.1080/00207160.2014.964694openalex-snapshot
Energy stable and large time-stepping methods for the Cahn–Hilliard equation
inferred← citeshttps://doi.org/10.1080/00207160.2017.1420784openalex-snapshot
A two-level finite element method for the Allen–Cahn equation
inferred← citeshttps://doi.org/10.1080/00207160.2023.2266068openalex-snapshot
Linear and nonlinear Dirichlet–Neumann methods in multiple subdomains for the Cahn–Hilliard equation
inferred← citeshttps://doi.org/10.1080/00207160.2026.2614077openalex-snapshot
Domain decomposition-based space-time preconditioner for the optimal control problem with constraints imposed by the Cahn-Hilliard equation
inferred← citeshttps://doi.org/10.1080/00207160.2026.2638505openalex-snapshot
Convergence and superconvergence analyses of Crank–Nicolson mixed Galerkin method for the extended Fisher–Kolmogorov equation
inferred← citeshttps://doi.org/10.1088/0951-7715/7/5/011openalex-snapshot
An analysis of numerical approximations of metastable solutions of the bistable equation
inferred← citeshttps://doi.org/10.1088/0951-7715/8/5/012openalex-snapshot
Slowly-migrating transition layers for the discrete Allen-Cahn and Cahn-Hilliard equations
inferred← citeshttps://doi.org/10.1090/conm/754/15147openalex-snapshot
The IEQ and SAV approaches and their extensions for a class of highly nonlinear gradient flow systems
inferred← citeshttps://doi.org/10.1090/mcom/3262openalex-snapshot
Energy stability and error estimates of exponential time differencing schemes for the epitaxial growth model without slope selection
inferred← citeshttps://doi.org/10.1090/mcom/3928openalex-snapshot
Density convergence of a fully discrete finite difference method for stochastic Cahn–Hilliard equation
inferred← citeshttps://doi.org/10.1090/mcom3052openalex-snapshot
Convergence analysis of a fully discrete finite difference scheme for the Cahn-Hilliard-Hele-Shaw equation
inferred← citeshttps://doi.org/10.1090/s0025-5718-06-01889-8openalex-snapshot
Nonconforming tetrahedral finite elements for fourth order elliptic equations
inferred← citeshttps://doi.org/10.1090/s0025-5718-07-01985-0openalex-snapshot
Fully discrete dynamic mesh discontinuous Galerkin methods for the Cahn-Hilliard equation of phase transition
inferred← citeshttps://doi.org/10.1090/s0025-5718-10-02365-3openalex-snapshot
Spectral approximation of pattern-forming nonlinear evolution equations with double-well potentials of quadratic growth
inferred← citeshttps://doi.org/10.1090/s0025-5718-1992-1122067-1openalex-snapshot
Error Estimates with Smooth and Nonsmooth Data for a Finite Element Method for the Cahn-Hilliard Equation
inferred← citeshttps://doi.org/10.1090/s0025-5718-2014-02874-3openalex-snapshot
Stability and convergence of second-order schemes for the nonlinear epitaxial growth model without slope selection
inferred← citeshttps://doi.org/10.1093/imanum/drac022openalex-snapshot
Solving time-fractional differential equations via rational approximation
inferred← citeshttps://doi.org/10.1093/imanum/drae062openalex-snapshot
High-order energy stable discrete variational derivative schemes for gradient flows
inferred← citeshttps://doi.org/10.1093/imanum/draf069openalex-snapshot
Maximum bound principle and original energy dissipation of arbitrarily high-order ETD Runge–Kutta schemes for Allen–Cahn equations
inferred← citeshttps://doi.org/10.1093/imanum/drv065openalex-snapshot
Stability and convergence of a second-order mixed finite element method for the Cahn–Hilliard equation
inferred← citeshttps://doi.org/10.1098/rspa.2024.0606openalex-snapshot
A first-order hyperbolic reformulation of the Cahn–Hilliard equation
inferred← citeshttps://doi.org/10.1108/ec-09-2012-0223openalex-snapshot
On a fractional step-splitting scheme for the Cahn-Hilliard equation
inferred← citeshttps://doi.org/10.1137/050638333openalex-snapshot
Fully Discrete Finite Element Approximations of the Navier--Stokes--Cahn-Hilliard Diffuse Interface Model for Two-Phase Fluid Flows
inferred← citeshttps://doi.org/10.1137/080726768openalex-snapshot
Discontinuous Galerkin Finite Element Approximation of the Cahn–Hilliard Equation with Convection
inferred← citeshttps://doi.org/10.1137/080738398openalex-snapshot
Numerical Studies of Discrete Approximations to the Allen–Cahn Equation in the Sharp Interface Limit
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