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Linearly first- and second-order, unconditionally energy stable schemes for the phase field crystal model

Journal of computational physics, 2017-02, Vol.330, p.1116-1134

2017

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

Journal of scientific computing, 2017-03, Vol.70 (3), p.965-989

2017

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

Journal of computational physics, 2015-06, Vol.290, p.139-156

2015

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Second-order decoupled energy-stable schemes for Cahn-Hilliard-Navier-Stokes equations

Journal of computational physics, 2021-10, Vol.443, p.110536, Article 110536

2021

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A linear second-order in time unconditionally energy stable finite element scheme for a Cahn–Hilliard phase-field model for two-phase incompressible flow of variable densities

Computer methods in applied mechanics and engineering, 2021-12, Vol.387, p.114186, Article 114186

2021

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A Decoupled Unconditionally Stable Numerical Scheme for the Cahn–Hilliard–Hele-Shaw System

Journal of scientific computing, 2016-03, Vol.66 (3), p.1102-1121

Han, Daozhi

2016

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Boundary layer for a class of nonlinear pipe flow

Journal of Differential Equations, 2012-06, Vol.252 (12), p.6387-6413

2012

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Second-Order Decoupled Linear Energy-Law Preserving gPAV Numerical Schemes for Two-Phase Flows in Superposed Free Flow and Porous Media

Journal of scientific computing, 2024-08, Vol.100 (2), p.36, Article 36

2024

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Fully decoupled unconditionally stable Crank–Nicolson leapfrog numerical methods for the Cahn–Hilliard–Darcy system

Numerical methods for partial differential equations, 2024-07, Vol.40 (4), p.n/a

2024

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A second order, linear, unconditionally stable, Crank–Nicolson–Leapfrog scheme for phase field models of two-phase incompressible flows

Applied mathematics letters, 2020-10, Vol.108, p.106521, Article 106521

2020

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A Second Order in Time, Decoupled, Unconditionally Stable Numerical Scheme for the Cahn–Hilliard–Darcy System

Journal of scientific computing, 2018-11, Vol.77 (2), p.1210-1233

2018

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A second-order, mass-conservative, unconditionally stable and bound-preserving finite element method for the quasi-incompressible Cahn-Hilliard-Darcy system

Journal of computational physics, 2024-12, Vol.518, p.113340, Article 113340

2024

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Dynamic transitions and bifurcations for thermal convection in the superposed free flow and porous media

Physica. D, 2020-12, Vol.414, p.132687, Article 132687

2020

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On the phase-field modeling of rapid solidification

Computational materials science, 2021-11, Vol.199, p.110812, Article 110812

2021

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BOUNDARY LAYERS FOR THE 3D PRIMITIVE EQUATIONS IN A CUBE: THE ZERO-MODE

Journal of applied analysis and computation, 2018-06, Vol.8 (3), p.873-889

2018

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Unconditionally stable numerical methods for Cahn-Hilliard-Navier-Stokes-Darcy system with different densities and viscosities

Journal of computational physics, 2022-04, Vol.454, p.110968, Article 110968

2022

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Decoupled energy-law preserving numerical schemes for the Cahn-Hilliard-Darcy system

Numerical methods for partial differential equations, 2016-05, Vol.32 (3), p.936-954

2016

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Second Order, Unconditionally Stable, Linear Ensemble Algorithms for the Magnetohydrodynamics Equations

Journal of scientific computing, 2023-01, Vol.94 (2), p.41, Article 41

2023

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On the Stability and Bifurcation of Marangoni Convection of Two Immiscible Liquids with a Nondeformable Interface

SIAM journal on applied dynamical systems, 2024-06, Vol.23 (2), p.1313-1344

2024

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Rayleigh-Taylor instability for nonhomogeneous incompressible geophysical fluid with partial viscosity

Journal of Differential Equations, 2024-11, Vol.408, p.537-583

2024

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Dynamical transitions of a low-dimensional model for Rayleigh–Bénard convection under a vertical magnetic field

Chaos, solitons and fractals, 2018-09, Vol.114, p.370-380

2018

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Existence and weak–strong uniqueness of solutions to the Cahn–Hilliard–Navier–Stokes–Darcy system in superposed free flow and porous media

Nonlinear analysis, 2021-10, Vol.211, p.112411, Article 112411

2021

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Existence and uniqueness of global weak solutions to a Cahn–Hilliard–Stokes–Darcy system for two phase incompressible flows in karstic geometry

Journal of Differential Equations, 2014-11, Vol.257 (10), p.3887-3933

2014

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On the Superconvergence of a Hybridizable Discontinuous Galerkin Method for the Cahn–Hilliard Equation

SIAM journal on numerical analysis, 2023-01, Vol.61 (1), p.83-109

2023

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Uniquely solvable and energy stable decoupled numerical schemes for the Cahn–Hilliard–Stokes–Darcy system for two-phase flows in karstic geometry

Numerische Mathematik, 2017-09, Vol.137 (1), p.229-255

2017

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Linearly first- and second-order, unconditionally energy stable schemes for the phase field crystal model

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

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

Second-order decoupled energy-stable schemes for Cahn-Hilliard-Navier-Stokes equations

A linear second-order in time unconditionally energy stable finite element scheme for a Cahn–Hilliard phase-field model for two-phase incompressible flow of variable densities

A Decoupled Unconditionally Stable Numerical Scheme for the Cahn–Hilliard–Hele-Shaw System

Boundary layer for a class of nonlinear pipe flow

Second-Order Decoupled Linear Energy-Law Preserving gPAV Numerical Schemes for Two-Phase Flows in Superposed Free Flow and Porous Media

Fully decoupled unconditionally stable Crank–Nicolson leapfrog numerical methods for the Cahn–Hilliard–Darcy system

A second order, linear, unconditionally stable, Crank–Nicolson–Leapfrog scheme for phase field models of two-phase incompressible flows

A Second Order in Time, Decoupled, Unconditionally Stable Numerical Scheme for the Cahn–Hilliard–Darcy System

A second-order, mass-conservative, unconditionally stable and bound-preserving finite element method for the quasi-incompressible Cahn-Hilliard-Darcy system

Dynamic transitions and bifurcations for thermal convection in the superposed free flow and porous media

On the phase-field modeling of rapid solidification

BOUNDARY LAYERS FOR THE 3D PRIMITIVE EQUATIONS IN A CUBE: THE ZERO-MODE

Unconditionally stable numerical methods for Cahn-Hilliard-Navier-Stokes-Darcy system with different densities and viscosities

Decoupled energy-law preserving numerical schemes for the Cahn-Hilliard-Darcy system

Second Order, Unconditionally Stable, Linear Ensemble Algorithms for the Magnetohydrodynamics Equations

On the Stability and Bifurcation of Marangoni Convection of Two Immiscible Liquids with a Nondeformable Interface

Rayleigh-Taylor instability for nonhomogeneous incompressible geophysical fluid with partial viscosity

Dynamical transitions of a low-dimensional model for Rayleigh–Bénard convection under a vertical magnetic field

Existence and weak–strong uniqueness of solutions to the Cahn–Hilliard–Navier–Stokes–Darcy system in superposed free flow and porous media

Existence and uniqueness of global weak solutions to a Cahn–Hilliard–Stokes–Darcy system for two phase incompressible flows in karstic geometry

On the Superconvergence of a Hybridizable Discontinuous Galerkin Method for the Cahn–Hilliard Equation

Uniquely solvable and energy stable decoupled numerical schemes for the Cahn–Hilliard–Stokes–Darcy system for two-phase flows in karstic geometry

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