Unconditionally energy stable discontinuous Galerkin schemes for the Cahn–Hilliard equation

Arbitrarily high-order linear energy stable schemes for gradient flow models

(2020) Yuezheng Gong et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Semi-Implicit Spectral Deferred Correction Method Based on the Invariant Energy Quadratization Approach for Phase Field Problems

(2019) Ruihan Guo and Yan Xu   Communications in Computational Physics

Unconditionally Energy Stable DG Schemes for the Swift–Hohenberg Equation

(2019) Hailiang Liu et al.   JOURNAL OF SCIENTIFIC COMPUTING

The scalar auxiliary variable (SAV) approach for gradient flows

(2018) Jie Shen et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A Mixed Discontinuous Galerkin Method Without Interior Penalty for Time-Dependent Fourth Order Problems

(2018) Hailiang Liu et al.   JOURNAL OF SCIENTIFIC COMPUTING

Energy Stable Interior Penalty Discontinuous Galerkin Finite Element Method for Cahn–Hilliard Equation

(2017) Ayşe Sarıaydın-Filibelioğlu et al.   INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION

Unconditional Energy Stability Analysis of a Second Order Implicit–Explicit Local Discontinuous Galerkin Method for the Cahn–Hilliard Equation

(2017) Huailing Song et al.   JOURNAL OF SCIENTIFIC COMPUTING

Numerical approximations for a three-component Cahn–Hilliard phase-field model based on the invariant energy quadratization method

(2017) Xiaofeng Yang et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

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

Analysis of Mixed Interior Penalty Discontinuous Galerkin Methods for the Cahn–Hilliard Equation and the Hele–Shaw Flow

(2016) Xiaobing Feng et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Optimal error estimates of the direct discontinuous Galerkin method for convection-diffusion equations

(2015) Hailiang Liu   MATHEMATICS OF COMPUTATION

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

Efficient Solvers of Discontinuous Galerkin Discretization for the Cahn–Hilliard Equations

(2013) Ruihan Guo et al.   JOURNAL OF SCIENTIFIC COMPUTING

On linear schemes for a Cahn–Hilliard diffuse interface model

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

The Direct Discontinuous Galerkin (DDG) Method for Diffusion with Interface Corrections

(2010) Hailiang Liu et al.   Communications in Computational Physics

Numerical approximations of Allen-Cahn and Cahn-Hilliard equations

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