Search Results

• 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 Robust and Efficient Adaptive Multigrid Solver for the Optimal Control of Phase Field Formulations of Geometric Evolution Laws

  Feng Wei Yang, Chandrasekhar Venkataraman, Vanessa Styles, Anotida Madzvamuse

  2018-04-08

  DOI:10.4208/cicp.240715.080716a

  41672 4638 pp. 65-92

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

  Ruihan Guo, Yan Xu

  2019-02-25

  DOI:10.4208/cicp.OA-2018-0034

  50368 5375 pp. 87-113

• An r-Adaptive Finite Element Method for the Solution of the Two-Dimensional Phase-Field Equations

  G. Beckett, J. A. Mackenzie, M. L. Robertson

  2006-01-01

  39532 3964 pp. 805-826

• A Stable Arbitrarily High Order Time-Stepping Method for Thermal Phase Change Problems

  Weiwen Wang, Chuanju Xu

  2023-03-13

  DOI:10.4208/cicp.OA-2022-0183

  40522 3355 pp. 477-510

• Phase Field Models Versus Parametric Front Tracking Methods: Are They Accurate and Computationally Efficient?

  John W. Barrett, Harald Garcke, Robert Nuernberg

  2018-03-27

  DOI:10.4208/cicp.190313.010813a

  40331 4109 pp. 506-555

• A Comparative Study of Hydrodynamic Lattice Boltzmann Equation in Phase-Field-Based Multiphase Flow Models

  Qiang He, Yiqian Cheng, Fengming Hu, Weifeng Huang, Decai Li

  2024-05-06

  DOI:10.4208/cicp.RE-2023-0066

  37610 2967 pp. 859-904

• 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

• An Efficient and Unconditionally Energy Stable Scheme for Simulating Solid-State Dewetting of Thin Films with Isotropic Surface Energy

  Qiong-Ao Huang, Wei Jiang, Jerry Zhijian Yang

  2019-08-27

  DOI:10.4208/cicp.2019.js60.07

  49024 3585 pp. 1444-1470

• Three-Phase Model of Visco-Elastic Incompressible Fluid Flow and Its Computational Implementation

  Shixin Xu, Mark Alber, Zhiliang Xu

  2018-10-11

  DOI:10.4208/cicp.OA-2017-0167

  48736 3452 pp. 586-624

• 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

• 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

  DOI:10.4208/cicp.OA-2016-0114

  42382 3694 pp. 1325-1349

• The Effect of Strong Near Surface Scattering on Seismic Imaging: Investigation Based on Resolution Analysis

  Xiao-Bi Xie, Baoqing He, Hongxiao Ning, Yongqing He, Bo Chen

  2020-06-05

  DOI:10.4208/cicp.OA-2018-0076

  51345 5101 pp. 167-186

• Geometric Evolution Laws for Thin Crystalline Films: Modeling and Numerics

  Bo Li, John Lowengrub, Andreas Raetz, Axel Voigt

  2009-06-01

  42092 4838 pp. 433-482 Open Access

• A High Order Positivity-Preserving Discontinuous Galerkin Remapping Method Based on a Moving Mesh Solver for ALE Simulation of the Compressible Fluid Flow

  Xiaolu Gu, Juan Cheng, Chi-Wang Shu

  2023-12-11

  DOI:10.4208/cicp.OA-2023-0083

  33190 2780 pp. 1177-1214

• 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