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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
    67896 5547 Pages:123-151
  • An Energy Conserving Local Discontinuous Galerkin Method for a Nonlinear Variational Wave Equation

    Nianyu Yi, Hailiang Liu
    2018-08-21
    46616 3278 Pages:747-772
  • Characteristic Local Discontinuous Galerkin Methods for Incompressible Navier-Stokes Equations

    Shuqin Wang, Weihua Deng, Jinyun Yuan, Yujiang Wu
    2019-10-31
    42332 4767 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
    42397 3299 Pages:1231-1257
  • An Iterative Discontinuous Galerkin Method for Solving the Nonlinear Poisson Boltzmann Equation

    Peimeng Yin, Yunqing Huang, Hailiang Liu
    2014-08-03
    42393 4165 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
    40748 3891 Pages:276-300
  • A Discontinuous Galerkin Method for Ideal Two-Fluid Plasma Equations

    John Loverich, Ammar Hakim, Uri Shumlak
    2018-03-27
    38208 4175 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
    200 157 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
    42524 3652 Pages:821-835
  • Modeling of the Frozen Mode Phenomenon and Its Sensitivity Using Discontinuous Galerkin Methods

    S. Chun, J. S. Hesthavan
    2007-02-01
    38735 4000 Pages:611-639
  • Local Discontinuous Galerkin Methods for High-Order Time-Dependent Partial Differential Equations

    Yan Xu, Chi-Wang Shu
    2010-07-01
    42253 4903 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
    6539 488 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
    42373 3772 Pages:259-298
  • Generalized Multiscale Finite Element Methods. Nonlinear Elliptic Equations

    Yalchin Efendiev, Juan Galvis, Guanglian Li, Michael Presho
    2014-03-05
    41548 4190 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
    38875 4277 Pages:49-71
  • Local Discontinuous Galerkin Methods for the Degasperis-Procesi Equation

    Yan Xu, Chi-Wang Shu
    2011-10-01
    37444 4045 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
    39657 4109 Pages:817-840
  • Performance Analysis of a High-Order Discontinuous Galerkin Method Application to the Reverse Time Migration

    Caroline Baldassari, Helene Barucq, Henri Calandra, Bertrand Denel, Julien Diaz
    2020-07-31
    40033 3957 Pages:660-673
  • A Compact High Order Space-Time Method for Conservation Laws

    Shuangzhang Tu, Gordon W. Skelton, Qing Pang
    2018-03-27
    37458 3907 Pages:441-480
  • A Discrete-Ordinate Discontinuous-Streamline Diffusion Method for the Radiative Transfer Equation

    Cheng Wang, Qiwei Sheng, Weimin Han
    2020-07-30
    42245 3530 Pages:1443-1465
  • An Optimized Correction Procedure via Reconstruction Formulation for Broadband Wave Computation

    Yi Li, Z. J. Wang
    2013-05-05
    40281 4252 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
    42573 4108 Pages:1461-1479
  • The Weak Galerkin Method for Elliptic Eigenvalue Problems

    Qilong Zhai, Hehu Xie, Ran Zhang, Zhimin Zhang
    2019-02-25
    48397 5527 Pages:160-191
  • Second-Kind Boundary Integral Equations for Scattering at Composite Partly Impenetrable Objects

    Xavier Claeys, Ralf Hiptmair, Elke Spindler
    2018-07-03
    46902 5165 Pages:264-295
  • Stability Analysis and Structure Preserving Schemes for the Reactive Euler Equations with a New Equation of State

    Minghao Sun, Hujian Zuo, Weifeng Zhao, Ping Lin
    2026-05-01
    175 49 Pages:1589-1619
  • 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
    4083 200 Pages:387-416
  • Interior Penalty Discontinuous Galerkin Based Isogeometric Analysis for Allen-Cahn Equations on Surfaces

    Qin Li, Pengxin Liu, Hanxin Zhang
    2020-07-30
    39773 3260 Pages:1380-1416
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