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  • MHDnet: Physics-Preserving Learning for Solving Magnetohydrodynamics Problems

    Xiaofei Guan, Boya Hu, Shipeng Mao, Xintong Wang, Zihao Yang
    2024-10-29
    21671 1212 Pages:943-976
  • Fast Implementation of FEM for Integral Fractional Laplacian on Rectangular Meshes

    Changtao Sheng, Li-Lian Wang, Hongbin Chen, Huiyuan Li
    2024-10-09
    15275 1209 Pages:673-710
  • An Arbitrary Order Mixed Finite Element Method with Boundary Value Correction for the Darcy Flow on Curved Domains

    Yongli Hou, Yanqiu Wang
    2025-05-29
    8873 545 Pages:1227-1249
  • Discontinuous Galerkin Method for the Coupled Dual-Porosity-Navier-Stokes Model

    Mingbo Zhou, Rui Li, Wenjing Yan, Zhangxin Chen
    2025-04-27
    9153 554 Pages:1008-1054
  • Mortar Finite Element Method for the Coupling of Time Dependent Navier-Stokes and Darcy Equations

    Xin Zhao, Chuanjun Chen
    2025-09-02
    10032 571 Pages:701-739
  • Implicit Discrete Unified Gas Kinetic Scheme for Steady Flows of Binary Gas Mixtures

    Yue Zhang, Chuang Zhang, Xinliang Song, Zhaoli Guo
    2025-09-02
    11655 872 Pages:383-419
  • 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
  • A Local Model Reduction Method Based on $k$-Nearest-Neighbors for Parametrized Nonlocal Problems

    Caixia Nan, Qiuqi Li, Huailing Song
    2025-01-22
    15404 898 Pages:220-249
  • A New Coupled Complex Boundary Method for Bioluminescence Tomography

    Rongfang Gong, Xiaoliang Cheng & Weimin Han
    2018-04-03
    40632 5200 Pages:226-250
  • ADI-FDTD Method for Two-Dimensional Transient Electromagnetic Problems

    Wanshan Li, Yile Zhang, Yau Shu Wong & Dong Liang
    2018-04-03
    40437 4864 Pages:94-123
  • A Numerical Methodology for Enforcing Maximum Principles and the Non-Negative Constraint for Transient Diffusion Equations

    K. B. Nakshatrala, H. Nagarajan & M. Shabouei
    2018-04-03
    40388 4661 Pages:53-93
  • 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 Minimum Action Method with Optimal Linear Time Scaling

    Xiaoliang Wan
    2020-07-30
    39723 3330 Pages:1352-1379
  • PVFMM: A Parallel Kernel Independent FMM for Particle and Volume Potentials

    Dhairya Malhotra & George Biros
    2018-04-03
    42029 4791 Pages:808-830 Open-access
  • A Finite Volume Scheme for Three-Dimensional Diffusion Equations

    Xiang Lai, Zhiqiang Sheng & Guangwei Yuan
    2018-04-03
    39391 3106 Pages:650-672
  • Convergence Study of Moment Approximations for Boundary Value Problems of the Boltzmann-BGK Equation

    Manuel Torrilhon
    2018-04-03
    39770 3152 Pages:529-557
  • Preconditioned Iterative Methods for Two-Dimensional Space-Fractional Diffusion Equations

    Xiao-Qing Jin, Fu-Rong Lin & Zhi Zhao
    2018-04-03
    38686 3133 Pages:469-488
  • On Initial Conditions for the Lattice Boltzmann Method

    Juntao Huang, Hao Wu & Wen-An Yong
    2018-04-03
    38592 3090 Pages:450-468
  • An Immersed Interface Method for Axisymmetric Electrohydrodynamic Simulations in Stokes Flow

    H. Ngangui, Y.-N. Young, A. T. Layton, W.-F. Hu & M.-C. Lai
    2018-04-03
    38639 3165 Pages:429-449
  • A Constrained Finite Element Method Based on Domain Decomposition Satisfying the Discrete Maximum Principle for Diffusion Problems

    Xingding Chen & Guangwei Yuan
    2018-04-03
    39668 3132 Pages:297-320
  • Efficient and Accurate Numerical Solutions for Helmholtz Equation in Polar and Spherical Coordinates

    Kun Wang, Yau Shu Wong & Jian Deng
    2018-04-02
    37775 3220 Pages:779-807
  • Mixed Spectral Element Method for 2D Maxwell's Eigenvalue Problem

    Na Liu, Luis Tobón, Yifa Tang, Qing Huo Liu
    2020-07-30
    41741 3104 Pages:458-486
  • Fast Solver for the Local Discontinuous Galerkin Discretization of the KdV Type Equations

    Ruihan Guo & Yan Xu
    2020-07-30
    40305 3095 Pages:424-457
  • An Efficient Two-Grid Scheme for the Cahn-Hilliard Equation

    Jie Zhou, Long Chen, Yunqing Huang & Wansheng Wang
    2018-04-02
    42715 4471 Pages:127-145
  • A Differential Algebraic Method for the Solution of the Poisson Equation for Charged Particle Beams

    B. Erdelyi, E. Nissen & S. Manikonda
    2018-04-02
    42849 4541 Pages:47-78
  • A Numerical Study on the Weak Galerkin Method for the Helmholtz Equation

    Lin Mu, Junping Wang, Xiu Ye & Shan Zhao
    2014-05-05
    42495 4071 Pages:1461-1479
  • An Unpreconditioned Boundary-Integral for Iterative Solution of Scattering Problems with Non-Constant Leontovitch Impedance Boundary Conditions

    D. Levadoux, F. Millot & S. Pernet
    2014-05-05
    41782 4029 Pages:1431-1460
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