A nonconforming finite-element method for the two-dimensional Cahn-Hilliard equation
SIAM Journal on Numerical Analysis
Numerical analysis of a continuum model of phase transition
SIAM Journal on Numerical Analysis
The dynamics of nucleation for the Cahn-Hilliard equation
SIAM Journal on Applied Mathematics
On the Cahn-Hilliard equation with degenerate mobility
SIAM Journal on Mathematical Analysis
Finite Element Approximation of the Cahn--Hilliard Equation with Degenerate Mobility
SIAM Journal on Numerical Analysis
Conservative multigrid methods for Cahn-Hilliard fluids
Journal of Computational Physics
Error analysis of a mixed finite element method for the Cahn-Hilliard equation
Numerische Mathematik
SIAM Journal on Numerical Analysis
Journal of Computational Physics
Finite Element Approximations of the Ericksen-Leslie Model for Nematic Liquid Crystal Flow
SIAM Journal on Numerical Analysis
Journal of Computational Physics
Discontinuous Galerkin Finite Element Approximation of the Cahn-Hilliard Equation with Convection
SIAM Journal on Numerical Analysis
Journal of Scientific Computing
A nonconforming finite element method for the Cahn-Hilliard equation
Journal of Computational Physics
Finite element approximation of nematic liquid crystal flows using a saddle-point structure
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Accurate, efficient, and (iso)geometrically flexible collocation methods for phase-field models
Journal of Computational Physics
Hi-index | 31.45 |
Numerical schemes to approximate the Cahn-Hilliard equation have been widely studied in recent times due to its connection with many physically motivated problems. In this work we propose two type of linear schemes based on different ways to approximate the double-well potential term. The first idea developed in the paper allows us to design a linear numerical scheme which is optimal from the numerical dissipation point of view meanwhile the second one allows us to design unconditionally energy-stable linear schemes (for a modified energy). We present first and second order in time linear schemes to approximate the CH problem, detailing their advantages over other linear schemes that have been previously introduced in the literature. Furthermore, we compare all the schemes through several computational experiments.