Search Results

• Application of the Local Discontinuous Galerkin Method for the Allen-Cahn/Cahn-Hilliard System

  Yinhua Xia, Yan Xu & Chi-Wang Shu

  2018-04-11

  42353 3582 Pages:821-835

• Solving Allen-Cahn and Cahn-Hilliard Equations Using the Adaptive Physics Informed Neural Networks

  Colby L. Wight, Jia Zhao

  2021-01-13

  58901 3820 Pages:930-954

• A Decreasing Upper Bound of the Energy for Time-Fractional Phase-Field Equations

  Chaoyu Quan, Tao Tang, Boyi Wang, Jiang Yang

  2023-05-12

  37859 2905 Pages:962-991

• Efficient Dual Algorithms for Image Segmentation Using TV-Allen-Cahn Type Models

  Li-Lian Wang & Ying Gu

  2011-09-01

  38818 3993 Pages:859-877

• A Comparative Study of Two Allen-Cahn Models for Immiscible $N$-Phase Flows by Using a Consistent and Conservative Lattice Boltzmann Method

  Chengjie Zhan, Xi Liu, Zhenhua Chai, Baochang Shi

  2024-10-09

  162 87 Pages:850-876

• Optimal Error Estimates of a Discontinuous Galerkin Method for Stochastic Allen-Cahn Equation Driven by Multiplicative Noise

  Xu Yang, Weidong Zhao, Wenju Zhao

  2024-07-29

  162 183 Pages:133-159

• Error Analysis of the Supplementary Variable Method for the Allen-Cahn Model

  Xuehua Song, Binquan Ji, Yuezheng Gong, Yushun Wang

  2025-08-23

  5916 407 Pages:684-710

• An Efficient Finite Element Method with Exponential Mesh Refinement for the Solution of the Allen-Cahn Equation in Non-Convex Polygons

  Emine Celiker, Ping Lin

  2020-08-27

  47626 2950 Pages:1536-1560

• 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

  62596 3419 Pages:947-972

• Interior Penalty Discontinuous Galerkin Based Isogeometric Analysis for Allen-Cahn Equations on Surfaces

  Futao Zhang, Yan Xu, Falai Chen & Ruihan Guo

  2020-07-30

  39635 3209 Pages:1380-1416

• Continuous Data Assimilation with a Moving Cluster of Data Points for a Reaction Diffusion Equation: A Computational Study

  Adam Larios, Collin Victor

  2021-02-25

  43615 3142 Pages:1273-1298

• Numerical Approximations for Allen-Cahn Type Phase Field Model of Two-Phase Incompressible Fluids with Moving Contact Lines

  Lina Ma, Rui Chen, Xiaofeng Yang & Hui Zhang

  2018-04-09

  41096 3056 Pages:867-889

• Energy Stable Gradient Flow Schemes for Shape and Topology Optimization in Navier-Stokes Flows

  Jiajie Li, Shengfeng Zhu

  2025-08-08

  4447 455 Pages:404-438

• Phase-Field-Based Axisymmetric Lattice Boltzmann Method for Two-Phase Electro-Hydrodynamic Flows

  Xi Liu, Zhenhua Chai, Baochang Shi

  2021-10-26

  48129 3342 Pages:1346-1369

• Computation of Two-Phase Biomembranes with Phase Dependent Material Parameters Using Surface Finite Elements

  Charles M. Elliott & Björn Stinner

  2018-03-27

  39047 4070 Pages:325-360

• Numerical Simulations for Full History Recursive Multilevel Picard Approximations for Systems of High-Dimensional Partial Differential Equations

  Sebastian Becker, Ramon Braunwarth, Martin Hutzenthaler, Arnulf Jentzen, Philippe von Wurstemberger

  2020-11-18

  64226 3325 Pages:2109-2138

• 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

  46498 3217 Pages:1098-1117