In this paper, we develop a series of efficient numerical schemes to solve the phase field
model for homopolymer blends. The governing system is derived from the energetic …

Abstract The Molecular Beam Epitaxial model is derived from the variation of a free energy,
that consists of either a fourth order Ginzburg–Landau double well potential or a nonlinear …

How to develop efficient numerical schemes while preserving energy stability at the discrete
level is challenging for the three-component Cahn–Hilliard phase-field model. In this paper …

We present two accurate and efficient numerical schemes for a phase field dendritic crystal
growth model, which is derived from the variation of a free‐energy functional, consisting of a …

In this paper, we study efficient numerical schemes of the classical phase field elastic
bending energy model that has been widely used to describe the shape deformation of …

In this paper we present a second order accurate (in time) energy stable numerical scheme
for the Cahn-Hilliard (CH) equation, with a mixed finite element approximation in space …

In this paper, we consider the numerical solution of a binary fluid–surfactant phase field
model, in which the free energy contains a nonlinear coupling entropy, a Ginzburg–Landau …

In this paper, we consider numerical approximations for solving the anisotropic Cahn–
Hilliard model. We combine the Scalar Auxiliary Variable (SAV) approach with the …

Accurately simulating the interplay between fluids and surfactants is a challenge, especially
when ensuring both mass conservation and guaranteed energy stability. This study …

In this paper, we consider numerical approximations for a dendritic solidification phase field
model with melt convection in the liquid phase, which is a highly nonlinear system that …