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  • 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
    32949 2710 Pages:1177-1214
  • High-Order Local Discontinuous Galerkin Method with Multi-Resolution WENO Limiter for Navier-Stokes Equations on Triangular Meshes

    Yizhou Lu, Jun Zhu, Shengzhu Cui, Zhenming Wang, Linlin Tian, Ning Zhao
    2023-06-06
    42172 3092 Pages:1217-1239
  • A High-Order Direct Discontinuous Galerkin Method for Variable Density Incompressible Flows

    Fan Zhang, Tiegang Liu
    2022-09-29
    40876 3129 Pages:850-877
  • A Parallel, High-Order Direct Discontinuous Galerkin Method for the Navier-Stokes Equations on 3D Hybrid Grids

    Jian Cheng, Xiaodong Liu, Tiegang Liu, Hong Luo
    2018-04-09
    42252 3251 Pages:1231-1257
  • Bilinear Forms for the Recovery-Based Discontinuous Galerkin Method for Diffusion

    Marc van Raalte & Bram van Leer
    2018-04-11
    41005 3425 Pages:683-693
  • A Coupled High-Order Continuous and Discontinuous Galerkin Finite Element Scheme for the Davey-Stewartson System

    Jinyang Lu, Qi Tao, Yan Xu
    2025-04-27
    207 54 Pages:975-1007
  • A Modified Convolution Quadrature Combined with the Method of Fundamental Solutions and Galerkin BEM for Acoustic Scattering

    Ebraheem Aldahham, Lehel Banjai
    2025-09-02
    368 41 Pages:761-782
  • A Penalty-Free or Penalty-Factor-Free DG Method with a Locally Reconstructed Curl Operator for the Maxwell Eigenproblem

    Zhijie Du, Huoyuan Duan, Duowei Zhu
    2025-08-23
    5938 392 Pages:887-922
  • An Adjoint-Based h-Adaptive Reconstructed Discontinuous Galerkin Method for the Steady-State Compressible Euler Equations

    Jian Cheng, Shengjiao Yu, Huiqiang Yue & Tiegang Liu
    2019-04-28
    46970 3207 Pages:855-879
  • A Sub-Grid Structure Enhanced Discontinuous Galerkin Method for Multiscale Diffusion and Convection-Diffusion Problems

    Eric T. Chung & Wing Tat Leung
    2014-08-05
    40903 4276 Pages:370-392
  • Weak Galerkin Method for Second-Order Elliptic Equations with Newton Boundary Condition

    Mingze Qin, Ruishu Wang, Qilong Zhai, Ran Zhang
    2023-03-13
    38969 3296 Pages:568-595
  • Linear Scaling Discontinuous Galerkin Density Matrix Minimization Method with Local Orbital Enriched Finite Element Basis: 1-D Lattice Model System

    Tiao Lu, Wei Cai, Jianguo Xin & Yinglong Guo
    2014-08-05
    40615 3849 Pages:276-300
  • 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
  • A Weak Galerkin Mixed Finite Element Method for Second Order Elliptic Equations on 2D Curved Domains

    Yi Liu, Wenbin Chen, Yanqiu Wang
    2022-10-28
    46295 3261 Pages:1094-1128
  • The Weak Galerkin Method for Linear Hyperbolic Equation

    Qilong Zhai, Ran Zhang, Nolisa Malluwawadu & Saqib Hussain
    2018-09-17
    45832 5101 Pages:152-166
  • Space-Time Discontinuous Galerkin Method for Maxwell's Equations

    Ziqing Xie, Bo Wang & Zhimin Zhang
    2013-10-05
    39367 3957 Pages:916-939
  • A Discrete-Ordinate Discontinuous-Streamline Diffusion Method for the Radiative Transfer Equation

    Cheng Wang, Qiwei Sheng & Weimin Han
    2020-07-30
    42090 3462 Pages:1443-1465
  • Fast Solver for the Local Discontinuous Galerkin Discretization of the KdV Type Equations

    Ruihan Guo & Yan Xu
    2020-07-30
    40252 3072 Pages:424-457
  • Numerical Solutions of the Electromagnetic Scattering by Overfilled Cavities with Inhomogeneous Anisotropic Media

    Meiling Zhao, Jiahui He, Liqun Wang
    2023-09-04
    31487 2580 Pages:530-562
  • Semi-Implicit Spectral Deferred Correction Method Based on the Invariant Energy Quadratization Approach for Phase Field Problems

    Ruihan Guo & Yan Xu
    2019-02-25
    50135 5247 Pages:87-113
  • High Order Finite Difference Scheme based on DG Boundary Treatment (FDbDG)

    Kun Wang, Jian Cheng & Tiegang Liu
    2019-01-10
    47308 3891 Pages:1413-1445
  • Numerical Methods for Two-Fluid Dispersive Fast MHD Phenomena

    Bhuvana Srinivasan, Ammar Hakim & Uri Shumlak
    2011-10-01
    39263 4385 Pages:183-215
  • A Compact High Order Space-Time Method for Conservation Laws

    Shuangzhang Tu, Gordon W. Skelton & Qing Pang
    2018-03-27
    37314 3845 Pages:441-480
  • Implicit Discontinuous Galerkin Method for RANS Simulation Utilizing Pointwise Relaxation Algorithm

    Kanako Yasue, Michiko Furudate, Naofumi Ohnishi & Keisuke Sawada
    2010-07-01
    40695 4030 Pages:510-533
  • Discontinuous Galerkin Method for the Coupled Dual-Porosity-Navier-Stokes Model

    Mingbo Zhou, Rui Li, Wenjing Yan, Zhangxin Chen
    2025-04-27
    194 60 Pages:1008-1054
  • A Numerical Study on the Weak Galerkin Method for the Helmholtz Equation

    Lin Mu, Junping Wang, Xiu Ye & Shan Zhao
    2014-05-05
    42424 4045 Pages:1461-1479
  • A Multigrid Discretization of Discontinuous Galerkin Method for the Stokes Eigenvalue Problem

    Ling Ling Sun, Hai Bi, Yidu Yang
    2023-12-11
    31275 2479 Pages:1391-1419
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