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An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation

Communications in computational physics, 2019, Vol.26 (5), p.1335-1364

2019

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A convergent convex splitting scheme for the periodic nonlocal Cahn-Hilliard equation

Numerische Mathematik, 2014-10, Vol.128 (2), p.377-406

2014

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Error analysis of a mixed finite element method for a Cahn–Hilliard–Hele–Shaw system

Numerische Mathematik, 2017-03, Vol.135 (3), p.679-709

2017

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A Modified Crank-Nicolson Numerical Scheme for the Flory-Huggins Cahn-Hilliard Model

Communications in computational physics, 2022-01, Vol.31 (1), p.60-93

2022

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A Third Order Accurate in Time, BDF-Type Energy Stable Scheme for the Cahn-Hilliard Equation

Numerical Mathematics: Theory, Methods and Applications, 2022-05, Vol.15 (2), p.279-303

2022

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A Second Order Accurate in Time, Energy Stable Finite Element Scheme for the Flory-Huggins-Cahn-Hilliard Equation

Advances in applied mathematics and mechanics, 2022-12, Vol.14 (6), p.1477-1508

2022

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Benchmark Computations of the Phase Field Crystal and Functionalized Cahn-Hilliard Equations via Fully Implicit, Nesterov Accelerated Schemes

Communications in computational physics, 2023, Vol.33 (2), p.367-398

2023

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Nonlinear simulations of solid tumor growth using a mixture model: invasion and branching

Journal of mathematical biology, 2009-04, Vol.58 (4-5), p.723-763

2009

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Phase field modeling and computation of vesicle growth or shrinkage

Journal of mathematical biology, 2023-06, Vol.86 (6), p.97-97, Article 97

2023

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High Accuracy Benchmark Problems for Allen-Cahn and Cahn-Hilliard Dynamics

Communications in computational physics, 2019, Vol.26 (4), p.947-972

2019

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A positivity-preserving, energy stable scheme for a ternary Cahn-Hilliard system with the singular interfacial parameters

Journal of computational physics, 2021-10, Vol.442, p.110451, Article 110451

2021

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Convergence analysis and error estimates for a second order accurate finite element method for the Cahn–Hilliard–Navier–Stokes system

Numerische Mathematik, 2017-11, Vol.137 (3), p.495-534

2017

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A weakly nonlinear, energy stable scheme for the strongly anisotropic Cahn-Hilliard equation and its convergence analysis

Journal of computational physics, 2020-03, Vol.405, p.109109, Article 109109

2020

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SECOND-ORDER CONVEX SPLITTING SCHEMES FOR GRADIENT FLOWS WITH EHRLICH-SCHWOEBEL TYPE ENERGY: APPLICATION TO THIN FILM EPITAXY

SIAM journal on numerical analysis, 2012-01, Vol.50 (1), p.105-125

2012

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A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system

Mathematics of computation, 2021-09, Vol.90 (331), p.2071-2106

2021

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Numerical comparison of modified-energy stable SAV-type schemes and classical BDF methods on benchmark problems for the functionalized Cahn-Hilliard equation

Journal of computational physics, 2020-12, Vol.423, p.109772, Article 109772

2020

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Second order convex splitting schemes for periodic nonlocal Cahn–Hilliard and Allen–Cahn equations

Journal of computational physics, 2014-11, Vol.277, p.48-71

2014

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Preconditioned steepest descent methods for some nonlinear elliptic equations involving p-Laplacian terms

Journal of computational physics, 2017-04, Vol.334, p.45-67

2017

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A Second-Order, Weakly Energy-Stable Pseudo-spectral Scheme for the Cahn–Hilliard Equation and Its Solution by the Homogeneous Linear Iteration Method

Journal of scientific computing, 2016-12, Vol.69 (3), p.1083-1114

2016

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An Energy Stable Finite Element Scheme for the Three-Component Cahn–Hilliard-Type Model for Macromolecular Microsphere Composite Hydrogels

Journal of scientific computing, 2021-06, Vol.87 (3), p.78, Article 78

2021

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Convergence analysis and numerical implementation of a second order numerical scheme for the three-dimensional phase field crystal equation

Computers & mathematics with applications (1987), 2018-03, Vol.75 (6), p.1912-1928

2018

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Energy Stable Numerical Schemes for Ternary Cahn-Hilliard System

Journal of scientific computing, 2020-08, Vol.84 (2), p.27, Article 27

2020

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A second‐order energy stable backward differentiation formula method for the epitaxial thin film equation with slope selection

Numerical methods for partial differential equations, 2018-11, Vol.34 (6), p.1975-2007

2018

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Energy stable and efficient finite-difference nonlinear multigrid schemes for the modified phase field crystal equation

Journal of computational physics, 2013-10, Vol.250, p.270-292

2013

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Doubly degenerate diffuse interface models of surface diffusion

Mathematical methods in the applied sciences, 2021-05, Vol.44 (7), p.5385-5405

2021

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An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation

A convergent convex splitting scheme for the periodic nonlocal Cahn-Hilliard equation

Error analysis of a mixed finite element method for a Cahn–Hilliard–Hele–Shaw system

A Modified Crank-Nicolson Numerical Scheme for the Flory-Huggins Cahn-Hilliard Model

A Third Order Accurate in Time, BDF-Type Energy Stable Scheme for the Cahn-Hilliard Equation

A Second Order Accurate in Time, Energy Stable Finite Element Scheme for the Flory-Huggins-Cahn-Hilliard Equation

Benchmark Computations of the Phase Field Crystal and Functionalized Cahn-Hilliard Equations via Fully Implicit, Nesterov Accelerated Schemes

Nonlinear simulations of solid tumor growth using a mixture model: invasion and branching

Phase field modeling and computation of vesicle growth or shrinkage

High Accuracy Benchmark Problems for Allen-Cahn and Cahn-Hilliard Dynamics

A positivity-preserving, energy stable scheme for a ternary Cahn-Hilliard system with the singular interfacial parameters

Convergence analysis and error estimates for a second order accurate finite element method for the Cahn–Hilliard–Navier–Stokes system

A weakly nonlinear, energy stable scheme for the strongly anisotropic Cahn-Hilliard equation and its convergence analysis

SECOND-ORDER CONVEX SPLITTING SCHEMES FOR GRADIENT FLOWS WITH EHRLICH-SCHWOEBEL TYPE ENERGY: APPLICATION TO THIN FILM EPITAXY

A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system

Numerical comparison of modified-energy stable SAV-type schemes and classical BDF methods on benchmark problems for the functionalized Cahn-Hilliard equation

Second order convex splitting schemes for periodic nonlocal Cahn–Hilliard and Allen–Cahn equations

Preconditioned steepest descent methods for some nonlinear elliptic equations involving p-Laplacian terms

A Second-Order, Weakly Energy-Stable Pseudo-spectral Scheme for the Cahn–Hilliard Equation and Its Solution by the Homogeneous Linear Iteration Method

An Energy Stable Finite Element Scheme for the Three-Component Cahn–Hilliard-Type Model for Macromolecular Microsphere Composite Hydrogels

Convergence analysis and numerical implementation of a second order numerical scheme for the three-dimensional phase field crystal equation

Energy Stable Numerical Schemes for Ternary Cahn-Hilliard System

A second‐order energy stable backward differentiation formula method for the epitaxial thin film equation with slope selection

Energy stable and efficient finite-difference nonlinear multigrid schemes for the modified phase field crystal equation

Doubly degenerate diffuse interface models of surface diffusion

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