Numerical Analysis of Second Order, Fully Discrete Energy Stable Schemes for Phase Field Models of Two-Phase Incompressible Flows

Decoupled energy stable schemes for phase-field vesicle membrane model

(2015) Rui Chen et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn–Hilliard–Navier–Stokes equation

(2015) Daozhi Han et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Decoupled, Energy Stable Schemes for Phase-Field Models of Two-Phase Incompressible Flows

(2015) Jie Shen et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

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

Stabilized semi-implicit spectral deferred correction methods for Allen-Cahn and Cahn-Hilliard equations

(2013) Fei Liu et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

A new linearly extrapolated Crank-Nicolson time-stepping scheme for the Navier-Stokes equations

(2013) Ross Ingram   MATHEMATICS OF COMPUTATION

Convergence Analysis of a Second Order Convex Splitting Scheme for the Modified Phase Field Crystal Equation

(2013) A. Baskaran et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

An Efficient, Energy Stable Scheme for the Cahn-Hilliard-Brinkman System

(2012) Craig Collins et al.   Communications in Computational Physics

A time-stepping scheme involving constant coefficient matrices for phase-field simulations of two-phase incompressible flows with large density ratios

(2012) S. Dong et al.   JOURNAL OF COMPUTATIONAL PHYSICS

On linear schemes for a Cahn–Hilliard diffuse interface model

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

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

(2012) Sebastian Minjeaud   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

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

An Energy Stable and Convergent Finite-Difference Scheme for the Modified Phase Field Crystal Equation

(2011) C. Wang et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Unconditionally stable schemes for equations of thin film epitaxy

(2010) Steven Wise et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Numerical approximations of Allen-Cahn and Cahn-Hilliard equations

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

Unconditionally Stable Finite Difference, Nonlinear Multigrid Simulation of the Cahn-Hilliard-Hele-Shaw System of Equations

(2010) S. M. Wise   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

Finite element approximation of a Cahn–Hilliard–Navier–Stokes system

(2009) David Kay et al.   INTERFACES AND FREE BOUNDARIES

A phase field model for vesicle–substrate adhesion

(2009) Jian Zhang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

An efficient moving mesh spectral method for the phase-field model of two-phase flows

(2009) Jie Shen et al.   JOURNAL OF COMPUTATIONAL PHYSICS

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

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