On a novel full decoupling, linear, second‐order accurate, and unconditionally energy stable numerical scheme for the anisotropic phase‐field dendritic crystal growth model

A new efficient fully-decoupled and second-order time-accurate scheme for Cahn–Hilliard phase-field model of three-phase incompressible flow

(2021) Xiaofeng Yang   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A novel fully-decoupled, second-order time-accurate, unconditionally energy stable scheme for a flow-coupled volume-conserved phase-field elastic bending energy model

(2021) Xiaofeng Yang   JOURNAL OF COMPUTATIONAL PHYSICS

A fully decoupled, linear and unconditionally energy stable numerical scheme for a melt-convective phase-field dendritic solidification model

(2020) Jun Zhang et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A novel fully-decoupled, second-order and energy stable numerical scheme of the conserved Allen–Cahn type flow-coupled binary surfactant model

(2020) Xiaofeng Yang   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A novel fully decoupled scheme with second‐order time accuracy and unconditional energy stability for the Navier‐Stokes equations coupled with mass‐conserved Allen‐Cahn phase‐field model of two‐phase incompressible flow

(2020) Xiaofeng Yang   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Numerical approximations of the Navier–Stokes equation coupled with volume-conserved multi-phase-field vesicles system: Fully-decoupled, linear, unconditionally energy stable and second-order time-accurate numerical scheme

(2020) Xiaofeng Yang   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Energy and entropy preserving numerical approximations of thermodynamically consistent crystal growth models

(2019) Jun Li et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Fast, provably unconditionally energy stable, and second-order accurate algorithms for the anisotropic Cahn-Hilliard Model

(2019) Chuanjun Chen et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Efficient linear, stabilized, second-order time marching schemes for an anisotropic phase field dendritic crystal growth model

(2019) Xiaofeng Yang   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A novel decoupled and stable scheme for an anisotropic phase-field dendritic crystal growth model

(2019) Jun Zhang et al.   APPLIED MATHEMATICS LETTERS

A linear energy and entropy-production-rate preserving scheme for thermodynamically consistent crystal growth models

(2019) Yucan Zhao et al.   APPLIED MATHEMATICS LETTERS

Efficient Second Order Unconditionally Stable Schemes for a Phase Field Moving Contact Line Model Using an Invariant Energy Quadratization Approach

(2018) Xiaofeng Yang et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

A diffuse interface model for two-phase ferrofluid flows

(2016) Ricardo H. Nochetto et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Numerical approximations for a phase field dendritic crystal growth model based on the invariant energy quadratization approach

(2016) Jia Zhao et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends

(2016) Xiaofeng Yang   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 Complex Fluids

(2014) Jie Shen et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

A DIFFUSE INTERFACE MODEL FOR ELECTROWETTING WITH MOVING CONTACT LINES

(2013) RICARDO H. NOCHETTO et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Phase-field modeling of two-dimensional crystal growth with anisotropic diffusion

(2013) Esteban Meca et al.   PHYSICAL REVIEW E

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

Energy stable schemes for Cahn-Hilliard phase-field model of two-phase incompressible flows

(2010) Jie Shen et al.   CHINESE ANNALS OF MATHEMATICS SERIES B

Numerical approximations of Allen-Cahn and Cahn-Hilliard equations

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

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

Thermodynamically consistent time-stepping algorithms for non-linear thermomechanical systems

(2009) Ignacio Romero   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

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

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

A splitting method for incompressible flows with variable density based on a pressure Poisson equation

(2009) J.-L. Guermond et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Isogeometric analysis of the Cahn–Hilliard phase-field model

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

Adaptive phase field simulation of dendritic crystal growth in a forced flow: 2D vs 3D morphologies

(2008) C.C. Chen et al.   INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER