Numerical simulation of three-dimensional multicomponent Cahn–Hilliard systems

An extension of the phase field method to model interactions between interfacial damage and brittle fracture in elastoplastic composites

(2020) Pengfei Li et al.   INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES

Stable second-order schemes for the space-fractional Cahn–Hilliard and Allen–Cahn equations

(2019) Linlin Bu et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

High-entropy alloys

(2019) Easo P. George et al.   Nature Reviews Materials

Phase field modeling of fracture in fiber reinforced composite laminate

(2019) Peng Zhang et al.   INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES

Phase field simulation on the cyclic degeneration of one-way shape memory effect of NiTi shape memory alloy single crystal

(2019) Bo Xu et al.   INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES

Simulation of the phase field Cahn–Hilliard and tumor growth models via a numerical scheme: Element-free Galerkin method

(2018) Vahid Mohammadi et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

The meshless local collocation method for solving multi-dimensional Cahn-Hilliard, Swift-Hohenberg and phase field crystal equations

(2017) Mehdi Dehghan et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Numerical Analysis of Fully Discretized Crank–Nicolson Scheme for Fractional-in-Space Allen–Cahn Equations

(2017) Tianliang Hou et al.   JOURNAL OF SCIENTIFIC COMPUTING

A Second-Order, Weakly Energy-Stable Pseudo-spectral Scheme for the Cahn–Hilliard Equation and Its Solution by the Homogeneous Linear Iteration Method

(2016) Kelong Cheng et al.   JOURNAL OF SCIENTIFIC COMPUTING

Basic Principles and Practical Applications of the Cahn–Hilliard Equation

(2016) Junseok Kim et al.   MATHEMATICAL PROBLEMS IN ENGINEERING

The numerical solution of Cahn–Hilliard (CH) equation in one, two and three-dimensions via globally radial basis functions (GRBFs) and RBFs-differential quadrature (RBFs-DQ) methods

(2015) Mehdi Dehghan et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

On the coupled continuous knapsack problems: projection onto the volume constrained Gibbs N-simplex

(2015) Rouhollah Tavakoli   Optimization Letters

Multimaterial topology optimization by volume constrained Allen–Cahn system and regularized projected steepest descent method

(2014) Rouhollah Tavakoli   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Existence and uniqueness of global weak solutions to a Cahn–Hilliard–Stokes–Darcy system for two phase incompressible flows in karstic geometry

(2014) Daozhi Han et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Computationally efficient solution to the Cahn–Hilliard equation: Adaptive implicit time schemes, mesh sensitivity analysis and the 3D isoperimetric problem

(2011) Olga Wodo et al.   JOURNAL OF COMPUTATIONAL PHYSICS

An adaptive multigrid algorithm for simulating solid tumor growth using mixture models

(2010) S.M. Wise et al.   MATHEMATICAL AND COMPUTER MODELLING

Cahn–Hilliard Inpainting and a Generalization for Grayvalue Images

(2009) Martin Burger et al.   SIAM Journal on Imaging Sciences

Isogeometric analysis of the Cahn–Hilliard phase-field model

(2008) Héctor Gómez et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A numerical method based on the boundary integral equation and dual reciprocity methods for one-dimensional Cahn–Hilliard equation

(2008) Mehdi Dehghan et al.   ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

A time-adaptive finite volume method for the Cahn–Hilliard and Kuramoto–Sivashinsky equations

(2008) Luis Cueto-Felgueroso et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Generalized Cahn-Hilliard equation for biological applications

(2008) Evgeniy Khain et al.   PHYSICAL REVIEW E