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  • 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
    67756 5453 Pages:123-151
  • An Energy Conserving Local Discontinuous Galerkin Method for a Nonlinear Variational Wave Equation

    Nianyu Yi & Hailiang Liu
    2018-08-21
    46501 3244 Pages:747-772
  • Characteristic Local Discontinuous Galerkin Methods for Incompressible Navier-Stokes Equations

    Shuqin Wang, Weihua Deng, Jinyun Yuan, Yujiang Wu
    2019-10-31
    42241 4717 Pages:202-227
  • 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
    42307 3267 Pages:1231-1257
  • An Iterative Discontinuous Galerkin Method for Solving the Nonlinear Poisson Boltzmann Equation

    Peimeng Yin, Yunqing Huang & Hailiang Liu
    2014-08-03
    42307 4129 Pages:491-515
  • 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
    40664 3865 Pages:276-300
  • A Discontinuous Galerkin Method for Ideal Two-Fluid Plasma Equations

    John Loverich, Ammar Hakim & Uri Shumlak
    2018-03-27
    38135 4139 Pages:240-268
  • A Family of Characteristic Discontinuous Galerkin Methods for Transient Advection-Diffusion Equations and Their Optimal-Order L2 Error Estimates

    Kaixin Wang, Hong Wang, Mohamed Al-Lawatia & Hongxing Rui
    2009-06-01
    124 89 Pages:203-230
  • Application of the Local Discontinuous Galerkin Method for the Allen-Cahn/Cahn-Hilliard System

    Yinhua Xia, Yan Xu & Chi-Wang Shu
    2018-04-11
    42424 3613 Pages:821-835
  • Modeling of the Frozen Mode Phenomenon and Its Sensitivity Using Discontinuous Galerkin Methods

    S. Chun & J. S. Hesthaven
    2007-02-01
    38660 3969 Pages:611-639
  • Local Discontinuous Galerkin Methods for High-Order Time-Dependent Partial Differential Equations

    Yan Xu & Chi-Wang Shu
    2010-07-01
    42128 4813 Pages:1-46 Open-access
  • 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
    6418 437 Pages:887-922
  • Continuous Finite Element Subgrid Basis Functions for Discontinuous Galerkin Schemes on Unstructured Polygonal Voronoi Meshes

    Walter Boscheri, Michael Dumbser, Elena Gaburro
    2022-07-06
    42259 3711 Pages:259-298
  • Generalized Multiscale Finite Element Methods. Nonlinear Elliptic Equations

    Yalchin Efendiev, Juan Galvis, Guanglian Li & Michael Presho
    2014-03-05
    41455 4165 Pages:733-755
  • Fast Numerical Simulation of Two-Phase Transport Model in the Cathode of a Polymer Electrolyte Fuel Cell

    Pengtao Sun, Guangri Xue, Chaoyang Wang & Jinchao Xu
    2009-06-01
    38800 4224 Pages:49-71
  • Local Discontinuous Galerkin Methods for the Degasperis-Procesi Equation

    Yan Xu & Chi-Wang Shu
    2011-10-01
    37356 4007 Pages:474-508
  • Stability of Projection Methods for Incompressible Flows Using High Order Pressure-Velocity Pairs of Same Degree: Continuous and Discontinuous Galerkin Formulations

    E. Ferrer, D. Moxey, R. H. J. Willden & S. J. Sherwin
    2014-12-08
    39549 4078 Pages:817-840
  • 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
    39963 3931 Pages:660-673
  • A Compact High Order Space-Time Method for Conservation Laws

    Shuangzhang Tu, Gordon W. Skelton & Qing Pang
    2018-03-27
    37384 3873 Pages:441-480
  • A Discrete-Ordinate Discontinuous-Streamline Diffusion Method for the Radiative Transfer Equation

    Cheng Wang, Qiwei Sheng & Weimin Han
    2020-07-30
    42156 3497 Pages:1443-1465
  • An Optimized Correction Procedure via Reconstruction Formulation for Broadband Wave Computation

    Yi Li & Z. J. Wang
    2013-05-05
    40200 4231 Pages:1265-1291
  • 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
  • The Weak Galerkin Method for Elliptic Eigenvalue Problems

    Qilong Zhai, Hehu Xie, Ran Zhang & Zhimin Zhang
    2019-02-25
    48273 5425 Pages:160-191
  • Second-Kind Boundary Integral Equations for Scattering at Composite Partly Impenetrable Objects

    Xavier Claeys, Ralf Hiptmair & Elke Spindler
    2018-07-03
    46794 5086 Pages:264-295
  • 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
    2026-02-15
    3822 156 Pages:387-416
  • 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
  • GPU Accelerated Discontinuous Galerkin Methods for Shallow Water Equations

    Rajesh Gandham, David Medina & Timothy Warburton
    2018-04-03
    42479 4590 Pages:37-64
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