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  • Cahn-Hilliard vs Singular Cahn-Hilliard Equations in Phase Field Modeling

    Tianyu Zhang, Qi Wang
    2018-03-24
    40470 4267 Pages:362-382
  • An Efficient, Energy Stable Scheme for the Cahn-Hilliard-Brinkman System

    Craig Collins, Jie Shen, Steven M. Wise
    2013-08-05
    44113 4294 Pages:929-957
  • Decoupled, Energy Stable Numerical Scheme for the Cahn-Hilliard-Hele-Shaw System with Logarithmic Flory-Huggins Potential

    Hong-En Jia, Ya-Yu Guo, Ming Li, Yunqing Huang, Guo-Rui Feng
    2020-02-23
    48576 3304 Pages:1053-1075
  • Stabilized Predictor-Corrector Schemes for Gradient Flows with Strong Anisotropic Free Energy

    Jie Shen, Jie Xu
    2018-09-17
    48236 4844 Pages:635-654 Open-access
  • Solving Allen-Cahn and Cahn-Hilliard Equations Using the Adaptive Physics Informed Neural Networks

    Colby L. Wight, Jia Zhao
    2021-01-13
    59545 3983 Pages:930-954
  • A Decoupled Energy Stable Adaptive Finite Element Method for Cahn–Hilliard–Navier–Stokes Equations

    Yaoyao Chen, Yunqing Huang, Nianyu Yi
    2021-02-25
    48016 3478 Pages:1186-1212
  • Application of the Local Discontinuous Galerkin Method for the Allen-Cahn/Cahn-Hilliard System

    Yinhua Xia, Yan Xu, Chi-Wang Shu
    2018-04-11
    42524 3649 Pages:821-835
  • On Linear and Unconditionally Energy Stable Algorithms for Variable Mobility Cahn-Hilliard Type Equation with Logarithmic Flory-Huggins Potential

    Xiaofeng Yang, Jia Zhao
    2018-11-09
    50246 3546 Pages:703-728
  • Effective Time Step Analysis of a Nonlinear Convex Splitting Scheme for the Cahn–Hilliard Equation

    Seunggyu Lee, Junseok Kim
    2018-10-11
    44658 3482 Pages:448-460
  • Benchmark Computation of Morphological Complexity in the Functionalized Cahn-Hilliard Gradient Flow

    Andrew Christlieb, Keith Promislow, Zengqiang Tan, Sulin Wang, Brian Wetton, Steven M. Wise
    2025-04-27
    9410 825 Pages:877-920 Open-access
  • An Adaptive Time-Stepping Strategy for the Cahn-Hilliard Equation

    Zhengru Zhang, Zhonghua Qiao
    2020-07-31
    41798 4351 Pages:1261-1278
  • A Second-Order Energy Stable BDF Numerical Scheme for the Cahn-Hilliard Equation

    Yue Yan, Wenbin Chen, Cheng Wang, Steven M. Wise
    2018-08-21
    51826 3366 Pages:572-602
  • A Class of Second-Order Energy-Stable Schemes for the Cahn-Hilliard Equation and Their Linear Iteration Algorithm

    Xiaohan Zhu, Yuezheng Gong, Yushun Wang
    2025-09-05
    3725 360 Pages:1210-1236
  • Efficient Energy Stable Schemes with Spectral Discretization in Space for Anisotropic Cahn-Hilliard Systems

    Feng Chen, Jie Shen
    2013-05-05
    41039 4784 Pages:1189-1208
  • An Exponential-Free Runge–Kutta Framework for Developing Third-Order Unconditionally Energy Stable Schemes for the Cahn–Hilliard Equation

    Haifeng Wang, Jingwei Sun, Hong Zhang, Xu Qian, Songhe Song
    2026-04-10
    17 7 Pages:199-238
  • Second-Order Linear Stabilized Semi-Implicit Crank-Nicolson Scheme for the Cahn-Hilliard Model with Dynamic Boundary Conditions

    Xiangjun Meng, Xuelian Bao, Zhengru Zhang
    2025-01-22
    15668 1033 Pages:137-170
  • High Accuracy Benchmark Problems for Allen-Cahn and Cahn-Hilliard Dynamics

    Jon Matteo Church, Zhenlin Guo, Peter K. Jimack, Anotida Madzvamuse, Keith Promislow, Brian Wetton, Steven M. Wise, Fengwei Yang
    2019-07-02
    62928 3488 Pages:947-972
  • Convergence Analysis of Exponential Time Differencing Schemes for the Cahn-Hilliard Equation

    Xiao Li, Lili Ju, Xucheng Meng
    2019-08-27
    46761 3377 Pages:1510-1529
  • A Conservative Numerical Method for the Cahn–Hilliard Equation with Generalized Mobilities on Curved Surfaces in Three-Dimensional Space

    Darae Jeong, Yibao Li, Chaeyoung Lee, Junxiang Yang, Junseok Kim
    2019-12-07
    47167 3305 Pages:412-430
  • A Positivity-Preserving Second-Order BDF Scheme for the Cahn-Hilliard Equation with Variable Interfacial Parameters

    Lixiu Dong, Cheng Wang, Hui Zhang, Zhengru Zhang
    2020-07-21
    49437 3273 Pages:967-998
  • An Efficient Two-Grid Scheme for the Cahn-Hilliard Equation

    Jie Zhou, Long Chen, Yunqing Huang, Wansheng Wang
    2018-04-02
    42786 4548 Pages:127-145
  • A Modified Crank-Nicolson Numerical Scheme for the Flory-Huggins Cahn-Hilliard Model

    Wenbin Chen, Jianyu Jing, Cheng Wang, Xiaoming Wang, Steven M. Wise
    2021-12-06
    49550 4321 Pages:60-93 Open-access
  • An LDG Method for Stochastic Cahn-Hilliard Type Equation Driven by General Multiplicative Noise Involving Second-Order Derivative

    Li Zhou, Yunzhang Li
    2022-01-27
    43687 3311 Pages:516-547
  • Benchmark Computations of the Phase Field Crystal and Functionalized Cahn-Hilliard Equations via Fully Implicit, Nesterov Accelerated Schemes

    Jea-Hyun Park, Abner J. Salgado, Steven M. Wise
    2023-03-13
    46581 3647 Pages:367-398
  • Unconditional Bound-Preserving and Energy-Dissipating Finite-Volume Schemes for the Cahn-Hilliard Equation

    Rafael Bailo, José A. Carrillo, Serafim Kalliadasis, Sergio P. Perez
    2023-10-07
    35461 2861 Pages:713-748
  • A Second Order Numerical Scheme of the Cahn-Hilliard-Navier-Stokes System with Flory-Huggins Potential

    Wenbin Chen, Jianyu Jing, Qianqian Liu, Cheng Wang, Xiaoming Wang
    2024-04-10
    25106 2168 Pages:633-661
  • Analysis of a Mixed Finite Element Method for Stochastic Cahn-Hilliard Equation with Multiplicative Noise

    Yukun Li, Corey Prachniak, Yi Zhang
    2024-05-06
    28044 2016 Pages:1003-1028
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