Numerical Methods for Solving the Cahn–Hilliard Equation and Its Applicability to Related Energy-Based Models

A linear mixed finite element scheme for a nematic Ericksen–Leslie liquid crystal model

(2013) F.M. Guillén-González et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

Stabilized second-order convex splitting schemes for Cahn-Hilliard models with application to diffuse-interface tumor-growth models

(2013) X. Wu et al.   International Journal for Numerical Methods in Biomedical Engineering

Phase-Field Models for Multi-Component Fluid Flows

(2012) Junseok Kim   Communications in Computational Physics

On linear schemes for a Cahn–Hilliard diffuse interface model

(2012) F. Guillén-González et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Existence of Weak Solutions for a Diffuse Interface Model for Two-Phase Flows of Incompressible Fluids with Different Densities

(2012) Helmut Abels et al.   Journal of Mathematical Fluid Mechanics

An unconditionally stable uncoupled scheme for a triphasic Cahn-Hilliard/Navier-Stokes model

(2012) Sebastian Minjeaud   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Strong Well-posedness of a Diffuse Interface Model for a Viscous, Quasi-incompressible Two-phase Flow

(2012) Helmut Abels   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich–Schwoebel Type Energy: Application to Thin Film Epitaxy

(2012) Jie Shen et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Energy law preserving C0 finite element schemes for phase field models in two-phase flow computations

(2011) Jinsong Hua et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models

(2011) Hector Gomez et al.   JOURNAL OF COMPUTATIONAL PHYSICS

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

THERMODYNAMICALLY CONSISTENT, FRAME INDIFFERENT DIFFUSE INTERFACE MODELS FOR INCOMPRESSIBLE TWO-PHASE FLOWS WITH DIFFERENT DENSITIES

(2011) HELMUT ABELS et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Numerical approximations of Allen-Cahn and Cahn-Hilliard equations

(2010) Jie Shen et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Numerical schemes for a three component Cahn-Hilliard model

(2010) Franck Boyer et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

Finite element approximation of nematic liquid crystal flows using a saddle-point structure

(2010) Santiago Badia et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Hybridizable Discontinuous Galerkin Methods for Timoshenko Beams

(2010) Fatih Celiker et al.   JOURNAL OF SCIENTIFIC COMPUTING

A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities

(2010) Jie Shen et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Energetic variational approach in complex fluids: Maximum dissipation principle

(2009) Yunkyong Hyon et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation

(2009) Z. Hu et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Energetic variational approaches in modeling vesicle and fluid interactions

(2009) Qiang Du et al.   PHYSICA D-NONLINEAR PHENOMENA

Discontinuous Galerkin Finite Element Approximation of the Cahn–Hilliard Equation with Convection

(2009) David Kay et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Isogeometric analysis of the Cahn–Hilliard phase-field model

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

Finite Element Approximations of the Ericksen–Leslie Model for Nematic Liquid Crystal Flow

(2008) Roland Becker et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Adaptive Finite Element Method for a Phase Field Bending Elasticity Model of Vesicle Membrane Deformations

(2008) Qiang Du et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Adaptive finite element methods for Cahn–Hilliard equations

(2007) L’ubomír Baňas et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS