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  • An Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Scheme for Compressible Multi-Material Flows on Adaptive Quadrilateral Meshes

    Xiaolong Zhao, Shicang Song, Xijun Yu, Shijun Zou, Fang Qing
    2024-01-31
    28648 2438 Pages:107-138
  • A Compact Third-Order Gas-Kinetic Scheme for Compressible Euler and Navier-Stokes Equations

    Liang Pan & Kun Xu
    2020-07-31
    38454 3013 Pages:985-1011
  • Parameter Identification in Uncertain Scalar Conservation Laws Discretized with the Discontinuous Stochastic Galerkin Scheme

    Louisa Schlachter, Claudia Totzeck
    2020-08-27
    48236 2981 Pages:1585-1608
  • A High Order Sharp-Interface Method with Local Time Stepping for Compressible Multiphase Flows

    Angela Ferrari, Claus-Dieter Munz & Bernhard Weigand
    2011-09-01
    39058 4348 Pages:205-230
  • 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
  • Central WENO Subcell Finite Volume Limiters for ADER Discontinuous Galerkin Schemes on Fixed and Moving Unstructured Meshes

    Walter Boscheri, Matteo Semplice & Michael Dumbser
    2018-10-11
    46588 3514 Pages:311-346
  • High-Order Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for Euler Equations with Gravitation on Unstructured Meshes

    Weijie Zhang, Yulong Xing, Yinhua Xia, Yan Xu
    2022-03-03
    47752 3186 Pages:771-815
  • Efficient, Accurate and Energy Stable Discontinuous Galerkin Methods for Phase Field Models of Two-Phase Incompressible Flows

    Ruihan Guo, Yan Xu
    2019-07-02
    49349 3127 Pages:1224-1248
  • Space-Time Discontinuous Galerkin Method for Maxwell's Equations

    Ziqing Xie, Bo Wang & Zhimin Zhang
    2013-10-05
    39367 3957 Pages:916-939
  • 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
  • A Runge Kutta Discontinuous Galerkin Method for Lagrangian Compressible Euler Equations in Two-Dimensions

    Zhenzhen Li, Xijun Yu, Jiang Zhu & Zupeng Jia
    2020-07-31
    40825 3999 Pages:1184-1206
  • Conservative and Dissipative Local Discontinuous Galerkin Methods for Korteweg-de Vries Type Equations

    Qian Zhang & Yinhua Xia
    2018-10-11
    45665 3407 Pages:532-563
  • 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
  • Dissipative and Conservative Local Discontinuous Galerkin Methods for the Fornberg-Whitham Type Equations

    Qian Zhang, Yan Xu, Chi-Wang Shu
    2021-05-25
    50735 3250 Pages:321-356
  • A High-Order Discontinuous Galerkin Solver for Helically Symmetric Flows

    Dominik Dierkes, Florian Kummer, Dominik Plümacher
    2021-04-30
    46158 3907 Pages:288-320
  • 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 Energy Conserving Local Discontinuous Galerkin Method for a Nonlinear Variational Wave Equation

    Nianyu Yi & Hailiang Liu
    2018-08-21
    46420 3214 Pages:747-772
  • 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 Comparative Study of Rosenbrock-Type and Implicit Runge-Kutta Time Integration for Discontinuous Galerkin Method for Unsteady 3D Compressible Navier-Stokes equations

    Xiaodong Liu, Yidong Xia, Hong Luo & Lijun Xuan
    2018-04-04
    40367 3290 Pages:1016-1044
  • On the Connection Between the Spectral Difference Method and the Discontinuous Galerkin Method

    Georg May
    2011-09-01
    38277 3828 Pages:1071-1080
  • High-Order Runge-Kutta Discontinuous Galerkin Methods with a New Type of Multi-Resolution WENO Limiters on Tetrahedral Meshes

    Jun Zhu, Chi-Wang Shu, Jianxian Qiu
    2021-02-25
    45622 3272 Pages:1030-1058
  • Central Discontinuous Galerkin Methods for the Generalized Korteweg-de Vries Equation

    Mengjiao Jiao, Yingda Cheng, Yong Liu, Mengping Zhang
    2020-07-21
    48213 3258 Pages:927-966
  • A GPU-Accelerated Hybridizable Discontinuous Galerkin Method for Linear Elasticity

    Maurice S. Fabien
    2019-12-07
    47103 4858 Pages:513-545 Open-access
  • 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
    70 42 Pages:203-230
  • A High Order Spectral Volume Formulation for Solving Equations Containing Higher Spatial Derivative Terms II: Improving the Third Derivative Spatial Discretization Using the LDG2 Method

    Ravi Kannan
    2012-12-01
    40315 3819 Pages:767-788
  • An Efficient DDG/FV Hybrid Method for 3D Viscous Flow Simulations on Tetrahedral Grids

    Shuai Shao, Ming Li, Nianhua Wang, Laiping Zhang
    2020-07-30
    45316 3715 Pages:725-752
  • Interior Penalty Discontinuous Galerkin Based Isogeometric Analysis for Allen-Cahn Equations on Surfaces

    Futao Zhang, Yan Xu, Falai Chen & Ruihan Guo
    2020-07-30
    39635 3209 Pages:1380-1416
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