Search Results

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

  Tianyu Zhang, Qi Wang

  2018-03-24

  DOI:10.4208/cicp.2009.09.016

  40479 4267 pp. 362-382

• An Efficient, Energy Stable Scheme for the Cahn-Hilliard-Brinkman System

  Craig Collins, Jie Shen, Steven M. Wise

  2013-08-05

  DOI:10.4208/cicp.171211.130412a

  44115 4296 pp. 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

  DOI:10.4208/cicp.OA-2019-0034

  48583 3309 pp. 1053-1075

• Stabilized Predictor-Corrector Schemes for Gradient Flows with Strong Anisotropic Free Energy

  Jie Shen, Jie Xu

  2018-09-17

  DOI:10.4208/cicp.OA-2017-0209

  48242 4846 pp. 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

  DOI:10.4208/cicp.OA-2020-0086

  59575 3990 pp. 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

  DOI:10.4208/cicp.OA-2020-0032

  48019 3482 pp. 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

  42528 3654 pp. 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

  DOI:10.4208/cicp.OA-2017-0259

  50256 3549 pp. 703-728

• Effective Time Step Analysis of a Nonlinear Convex Splitting Scheme for the Cahn–Hilliard Equation

  Seunggyu Lee, Junseok Kim

  2018-10-11

  DOI:10.4208/cicp.OA-2017-0260

  44661 3483 pp. 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

  DOI:10.4208/cicp.OA-2023-0190

  9418 836 pp. 877-920 Open Access

• An Adaptive Time-Stepping Strategy for the Cahn-Hilliard Equation

  Zhengru Zhang, Zhonghua Qiao

  2020-07-31

  DOI:10.4208/cicp.300810.140411s

  41801 4353 pp. 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

  DOI:10.4208/cicp.OA-2016-0197

  51837 3369 pp. 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

  DOI:10.4208/cicp.OA-2024-0016

  3747 360 pp. 1210-1236

• Efficient Energy Stable Schemes with Spectral Discretization in Space for Anisotropic Cahn-Hilliard Systems

  Feng Chen, Jie Shen

  2013-05-05

  DOI:10.4208/cicp.101111.110512a

  41039 4784 pp. 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

  DOI:10.4208/cicp.OA-2024-0283

  167 41 pp. 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

  DOI:10.4208/cicp.OA-2022-0269

  15674 1042 pp. 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

  DOI:10.4208/cicp.OA-2019-0006

  62940 3494 pp. 947-972

• Convergence Analysis of Exponential Time Differencing Schemes for the Cahn-Hilliard Equation

  Xiao Li, Lili Ju, Xucheng Meng

  2019-08-27

  DOI:10.4208/cicp.2019.js60.12

  46766 3384 pp. 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

  DOI:10.4208/cicp.OA-2018-0202

  47173 3308 pp. 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

  DOI:10.4208/cicp.OA-2019-0037

  49446 3276 pp. 967-998

• An Efficient Two-Grid Scheme for the Cahn-Hilliard Equation

  Jie Zhou, Long Chen, Yunqing Huang, Wansheng Wang

  2018-04-02

  DOI:10.4208/cicp.231213.100714a

  42788 4552 pp. 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

  DOI:10.4208/cicp.OA-2021-0074

  49556 4334 pp. 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

  DOI:10.4208/cicp.OA-2021-0134

  43692 3313 pp. 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

  DOI:10.4208/cicp.OA-2022-0117

  46587 3648 pp. 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

  DOI:10.4208/cicp.OA-2023-0049

  35466 2862 pp. 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

  DOI:10.4208/cicp.OA-2023-0038

  25116 2172 pp. 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

  DOI:10.4208/cicp.OA-2023-0172

  28052 2018 pp. 1003-1028