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  • A Novel High-Order Shock-Capturing Limiter for RKDG Method on Unstructured Meshes via TENO Selection Strategies

    Haohan Huang, Tian Liang, Mingduo Yuan, Lin Fu
    2025-11-28
    935 45 Pages:387-416
  • The Direct Discontinuous Galerkin (DDG) Method for Diffusion with Interface Corrections

    Hailiang Liu & Jue Yan
    2010-08-01
    44752 4459 Pages:541-564
  • 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 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
  • 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
  • The Weak Galerkin Method for Linear Hyperbolic Equation

    Qilong Zhai, Ran Zhang, Nolisa Malluwawadu & Saqib Hussain
    2018-09-17
    45832 5101 Pages:152-166
  • 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
  • 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 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
  • A Holomorphic Operator Function Approach for the Transmission Eigenvalue Problem of Elastic Waves

    Yingxia Xi, Xia Ji
    2022-08-11
    301573 3308 Pages:524-546
  • Three Discontinuous Galerkin Methods for One- and Two-Dimensional Nonlinear Dirac Equations with a Scalar Self-Interaction

    Shu-Cun Li, Huazhong Tang
    2021-08-10
    47581 3080 Pages:1150-1184
  • An Adaptive Moving Mesh Discontinuous Galerkin Method for the Radiative Transfer Equation

    Min Zhang, Juan Cheng, Weizhang Huang, Jianxian Qiu
    2020-02-23
    50843 3227 Pages:1140-1173
  • A GPU-Accelerated Hybridizable Discontinuous Galerkin Method for Linear Elasticity

    Maurice S. Fabien
    2019-12-07
    47103 4858 Pages:513-545 Open-access
  • A High Order Adaptive Time-Stepping Strategy and Local Discontinuous Galerkin Method for the Modified Phase Field Crystal Equation

    Ruihan Guo & Yan Xu
    2018-09-17
    67668 5387 Pages:123-151
  • An Iterative Discontinuous Galerkin Method for Solving the Nonlinear Poisson Boltzmann Equation

    Peimeng Yin, Yunqing Huang & Hailiang Liu
    2014-08-03
    42236 4102 Pages:491-515
  • 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
  • A Discontinuous Galerkin Method for Ideal Two-Fluid Plasma Equations

    John Loverich, Ammar Hakim & Uri Shumlak
    2018-03-27
    38061 4102 Pages:240-268
  • 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
  • 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
  • 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
  • A Polygonal Discontinuous Galerkin Formulation for Contact Mechanics in Fluid-Structure Interaction Problems

    Stefano Zonca, Paola F. Antonietti, Christian Vergara
    2021-04-30
    51290 4579 Pages:1-33
  • Performance Analysis of a High-Order Discontinuous Galerkin Method Application to the Reverse Time Migration

    Caroline Baldassari, Hélène Barucq, Henri Calandra, Bertrand Denel & Julien Diaz
    2020-07-31
    39906 3902 Pages:660-673
  • 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
  • Efficient Preconditioners for a Shock Capturing Space-Time Discontinuous Galerkin Method for Systems of Conservation Laws

    Andreas Hiltebrand & Siddhartha Mishra
    2018-04-02
    40820 3326 Pages:1320-1359
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