Search Results

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

  Colby L. Wight, Jia Zhao

  2021-01-13

  59168 3906 Pages: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

  41583 4571 Pages: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

  50240 5305 Pages: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

  39437 3922 Pages:805-826

• 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

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

  John W. Barrett, Harald Garcke & Robert Nürnberg

  2018-03-27

  40217 4062 Pages: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

  37477 2925 Pages: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

  46477 3605 Pages: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

  48907 3554 Pages:1444-1470

• 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

• 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 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

• 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

  51240 5019 Pages:167-186

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

  Bo Li, John Lowengrub, Andreas Rätz & Axel Voigt

  2009-06-01

  42000 4765 Pages: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

  33076 2741 Pages: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

  35319 2828 Pages:713-748