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  • A Locally Mass-Conservative Enriched Petrov-Galerkin Method Without Penalty for the Darcy Flow in Porous Media

    Huangxin Chen, Piaopiao Dong, Shuyu Sun, Zixuan Wang
    2026-01-18
    215 48 Pages:1199-1230
  • An Adaptive Cartesian Method for Prediction of the Unsteady Process of Aircraft Ice Accretion

    Chengxiang Zhu, Huanyu Zhao, Ning Zhao, Chunling Zhu, Yu Liu
    2021-05-25
    48989 3128 Pages:515-535
  • Implicit Quadrature-Free Direct Reconstruction Method for Efficient Scale-Resolving Simulations

    Hojun You, Juhyun Kim, Chongam Kim
    2023-05-12
    36140 2956 Pages:992-1034
  • A Highly Scalable Boundary Integral Equation and Walk-on-Spheres (BIE-WOS) Method for the Laplace Equation with Dirichlet Data

    Changhao Yan, Wei Cai, Xuan Zeng
    2021-03-24
    44853 3209 Pages:1446-1468
  • The Multidomain Hybrid Discontinuous Galerkin Method and Finite Difference Method for Solving Compressible Navier-Stokes Equations on Hybrid Meshes

    Weixiong Yuan, Tiegang Liu, Bin Zhang, Mengyu Li, Kun Wang
    2025-09-18
    4378 312 Pages:1417-1452
  • A Cartesian Grid-Based Boundary Integral Method for an Elliptic Interface Problem on Closely Packed Cells

    Wenjun Ying
    2020-07-31
    44078 3224 Pages:1196-1220
  • Interior Penalty Discontinuous Galerkin Based Isogeometric Analysis for Allen-Cahn Equations on Surfaces

    Futao Zhang, Yan Xu, Falai Chen & Ruihan Guo
    2020-07-30
    39695 3236 Pages:1380-1416
  • A Strong Stability-Preserving Predictor-Corrector Method for the Simulation of Elastic Wave Propagation in Anisotropic Media

    D. H. Yang, N. Wang & E. Liu
    2012-12-01
    40458 4291 Pages:1006-1032
  • A Multigrid Method for a Model of the Implicit Immersed Boundary Equations

    Robert D. Guy & Bobby Philip
    2020-07-31
    39037 4068 Pages:378-400
  • Numerical Simulations for the Quasi-3D Fluid Streamer Propagation Model: Methods and Applications

    Chijie Zhuang, Mengmin Huang & Rong Zeng
    2020-07-31
    43287 3294 Pages:1259-1278
  • A GPU-Accelerated Cartesian Grid Method for the Heat, Wave and Schrödinger Equations on Irregular Domains

    Liwei Tan, Minsheng Huang, Wenjun Ying
    2024-09-06
    20108 1535 Pages:485-520
  • Development of Cartesian Grid Method and Local Grid Refinement for Discrete Velocity Method

    Zijian Liu, Songze Chen, Shiyi Chen
    2025-08-08
    4569 473 Pages:375-403
  • A Weighted Runge-Kutta Method with Weak Numerical Dispersion for Solving Wave Equations

    Shan Chen, Dinghui Yang & Xiaoying Deng
    2010-07-01
    38996 4416 Pages:1027-1048
  • A Discontinuous Galerkin Extension of the Vertex-Centered Edge-Based Finite Volume Method

    Martin Berggren, Sven-Erik Ekström & Jan Nordström
    2018-04-11
    41838 3570 Pages:456-468
  • A Simple 3D Immersed Interface Method for Stokes Flow with Singular Forces on Staggered Grids

    Weiyi Wang, Zhijun Tan
    2021-04-30
    49161 4953730 Pages:227-254
  • An Augmented Lagrangian Uzawa Iterative Method for Solving Double Saddle-Point Systems with Semidefinite (2,2) Block and Its Application to DLM/FD Method for Elliptic Interface Problems

    Cheng Wang, Pengtao Sun
    2021-04-30
    49255 4582 Pages:124-143
  • A Reconstructed Discontinuous Galerkin Method for the Euler Equations on Arbitrary Grids

    Hong Luo, Luqing Luo & Robert Nourgaliev
    2012-12-01
    42147 287904 Pages:1495-1519
  • Bi-Orthogonal fPINN: A Physics-Informed Neural Network Method for Solving Time-Dependent Stochastic Fractional PDEs

    Lei Ma, Rongxin Li, Fanhai Zeng, Ling Guo, George Em Karniadakis
    2023-11-08
    31843 2797 Pages:1133-1176
  • A Sparse Grid Discrete Ordinate Discontinuous Galerkin Method for the Radiative Transfer Equation

    Jianguo Huang, Yue Yu
    2021-08-10
    46994 3085 Pages:1009-1036
  • Blended Ghost Force Correction Method for 3D Crystalline Defects

    Lidong Fang, Lei Zhang
    2021-02-25
    45021 3184 Pages:1246-1272
  • A Hybrid FETD-FDTD Method with Nonconforming Meshes

    Bao Zhu, Jiefu Chen, Wanxie Zhong & Qing Huo Liu
    2011-03-05
    39078 4101 Pages:828-842
  • A Continuous Finite Element Method with Homotopy Vanishing Viscosity for Solving the Static Eikonal Equation

    Yong Yang, Wenrui Hao, Yong-Tao Zhang
    2022-05-06
    45561 3252 Pages:1402-1433
  • On Integral Equation and Least Squares Methods for Scattering by Diffraction Gratings

    T. Arens, S. N. Chandler-Wilde & J. A. DeSanto
    2020-07-31
    38853 3856 Pages:1010-1042
  • An Adaptive ANOVA-Based Data-Driven Stochastic Method for Elliptic PDEs with Random Coefficient

    Zhiwen Zhang, Xin Hu, Thomas Y. Hou, Guang Lin & Mike Yan
    2014-12-08
    39606 3927 Pages:571-598
  • Multiple-Temperature Gas-Kinetic Scheme for Type IV Shock/Shock Interaction

    Hualin Liu, Guiyu Cao, Weifang Chen
    2021-01-13
    47438 3347 Pages:853-904
  • A Diagonal Sweeping Domain Decomposition Method with Source Transfer for the Helmholtz Equation

    Wei Leng, Lili Ju
    2020-12-02
    47730 3315 Pages:357-398
  • Deep Learning-Based Computational Method for Soft Matter Dynamics: Deep Onsager-Machlup Method

    Zhihao Li, Boyi Zou, Haiqin Wang, Jian Su, Dong Wang, Xinpeng Xu
    2025-09-02
    11749 752 Pages:353-382
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