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  • A Comparison of Fourier Spectral Iterative Perturbation Method and Finite Element Method in Solving Phase-Field Equilibrium Equations

    Pengcheng Song, Tiannan Yang, Yanzhou Ji, Zhuo Wang, Zhigang Yang, Longqing Chen & Lei Chen
    2018-04-09
    42295 3668 Pages:1325-1349
  • A Novel Second-Order Scheme for the Molecular Beam Epitaxy Model with Slope Selection

    Lizhen Chen, Jia Zhao & Yuezheng Gong
    2018-12-08
    49038 3657 Pages:1024-1044
  • 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
    62771 3451 Pages:947-972
  • A Variational Model for Two-Phase Immiscible Electroosmotic Flow at Solid Surfaces

    Sihong Shao & Tiezheng Qian
    2012-11-01
    42130 3942 Pages:831-862
  • Energy Law Preserving Finite Element Scheme for the Cahn-Hilliard Equation with Dynamic Boundary Conditions

    Na Li, Ping Lin, Fuzheng Gao
    2019-08-27
    46481 4275 Pages:1490-1509
  • A Fourier Spectral Moving Mesh Method for the Cahn-Hilliard Equation with Elasticity

    W. M. Feng, P. Yu, S. Y. Hu, Z. K. Liu, Q. Du & L. Q. Chen
    2018-04-11
    42363 4225 Pages:582-599
  • A Decreasing Upper Bound of the Energy for Time-Fractional Phase-Field Equations

    Chaoyu Quan, Tao Tang, Boyi Wang, Jiang Yang
    2023-05-12
    38040 2939 Pages:962-991
  • A Stable Arbitrarily High Order Time-Stepping Method for Thermal Phase Change Problems

    Weiwen Wang, Chuanju Xu
    2023-03-13
    40403 3318 Pages:477-510
  • Finding Critical Nuclei in Phase Transformations by Shrinking Dimer Dynamics and Its Variants

    Lei Zhang, Jingyan Zhang & Qiang Du
    2014-12-08
    39993 4101 Pages:781-798
  • Cahn-Hilliard vs Singular Cahn-Hilliard Equations in Phase Field Modeling

    Tianyu Zhang & Qi Wang
    2018-03-24
    40289 4158 Pages:362-382
  • Energy Stable Gradient Flow Schemes for Shape and Topology Optimization in Navier-Stokes Flows

    Jiajie Li, Shengfeng Zhu
    2025-08-08
    4700 524 Pages:404-438
  • Computational Method of Grain Boundary Energy Consistent for Different Orientations and Applications to Double Gyroid Beyond Twinning

    Jing Chen, Kai Jiang, Zhangpeng Sun, Jie Xu
    2026-01-15
    2958 196 Pages:185-214
  • Phase-Field Models for Biofilms II 2-D Numerical Simulations of Biofilm-Flow Interaction

    Tianyu Zhang, Nick Cogan & Qi Wang
    2008-04-01
    40390 4760 Pages:72-101
  • A 3D Multi-Phase Hydrodynamic Model for Cytokinesis of Eukaryotic Cells

    Jia Zhao & Qi Wang
    2018-04-03
    41006 3432 Pages:663-681
  • On Fully Decoupled, Convergent Schemes for Diffuse Interface Models for Two-Phase Flow with General Mass Densities

    Günther Grün, Francisco Guillén-González & Stefan Metzger
    2020-07-31
    40381 3270 Pages:1473-1502
  • Parameter-Free Time Adaptivity Based on Energy Evolution for the Cahn-Hilliard Equation

    Fuesheng Luo, Tao Tang & Hehu Xie
    2020-07-31
    41269 4339 Pages:1542-1563 Open-access
  • On Diffuse Interface Modeling and Simulation of Surfactants in Two-Phase Fluid Flow

    Stefan Engblom, Minh Do-Quang, Gustav Amberg & Anna-Karin Tornberg
    2013-10-05
    38927 3873 Pages:879-915
  • Three-Phase Model of Visco-Elastic Incompressible Fluid Flow and Its Computational Implementation

    Shixin Xu, Mark Alber & Zhiliang Xu
    2018-10-11
    48639 3413 Pages:586-624
  • 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
    50093 3502 Pages:703-728
  • Retrieving Topological Information of Implicitly Represented Diffuse Interfaces with Adaptive Finite Element Discretization

    Jian Zhang & Qiang Du
    2013-05-05
    40310 4227 Pages:1209-1226
  • A Mass Conservative Lattice Boltzmann Model for Two-Phase Flows with Moving Contact Lines at High Density Ratio

    Tao Lu, Xuguang Yang, Fu Xiao, Tao Wen
    2019-07-02
    46602 3288 Pages:1098-1117
  • Efficient, Accurate and Energy Stable Discontinuous Galerkin Methods for Phase Field Models of Two-Phase Incompressible Flows

    Ruihan Guo, Yan Xu
    2019-07-02
    49455 3145 Pages:1224-1248
  • Convergence Analysis of Exponential Time Differencing Schemes for the Cahn-Hilliard Equation

    Xiao Li, Lili Ju, Xucheng Meng
    2019-08-27
    46636 3339 Pages:1510-1529
  • Fully Decoupled, Linear and Unconditionally Energy Stable Schemes for the Binary Fluid-Surfactant Model

    Yuzhe Qin, Zhen Xu, Hui Zhang, Zhengru Zhang
    2020-08-27
    50226 3307 Pages:1389-1414
  • Computation of Two-Phase Biomembranes with Phase Dependent Material Parameters Using Surface Finite Elements

    Charles M. Elliott & Björn Stinner
    2018-03-27
    39114 4090 Pages:325-360
  • Simulating Two-Phase Viscoelastic Flows Using Moving Finite Element Methods

    Yubo Zhang, Heyu Wang & Tao Tang
    2018-03-24
    39338 4372 Pages:333-349
  • Mandelic Acid Single-Crystal Growth: Experiments VS Numerical Simulations

    Q. Tan, S.A. Hosseini, A. Seidel-Morgenstern, D. Thévenin, H. Lorenz
    2023-02-20
    44729 3720 Pages:77-100
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