Search Results

• Equilibrium Preserving Space in Discontinuous Galerkin Methods for Hyperbolic Balance Laws

  Jiahui Zhang, Yinhua Xia, Yan Xu

  2025-07-11

  5441 625 Pages:109-155

• 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

  28923 2615 Pages:107-138

• A Multigrid Discretization of Discontinuous Galerkin Method for the Stokes Eigenvalue Problem

  Ling Ling Sun, Hai Bi, Yidu Yang

  2023-12-11

  31489 2527 Pages:1391-1419

• 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

  33187 2779 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

  42403 3166 Pages:1217-1239

• A High-Order Direct Discontinuous Galerkin Method for Variable Density Incompressible Flows

  Fan Zhang, Tiegang Liu

  2022-09-29

  41119 3194 Pages:850-877

• A Holomorphic Operator Function Approach for the Transmission Eigenvalue Problem of Elastic Waves

  Yingxia Xi, Xia Ji

  2022-08-11

  301776 3372 Pages:524-546

• Directional $\mathcal{H}^2$ Compression Algorithm: Optimisations and Application to a Discontinuous Galerkin BEM for the Helmholtz Equation

  Nadir-Alexandre Messaï, Sebastien Pernet, Abdesselam Bouguerra

  2022-05-06

  43786 3224 Pages:1585-1635

• 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

  47989 3248 Pages:771-815

• 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

  47791 3142 Pages:1150-1184

• A Sparse Grid Discrete Ordinate Discontinuous Galerkin Method for the Radiative Transfer Equation

  Jianguo Huang, Yue Yu

  2021-08-10

  47081 3115 Pages:1009-1036

• Dissipative and Conservative Local Discontinuous Galerkin Methods for the Fornberg-Whitham Type Equations

  Qian Zhang, Yan Xu, Chi-Wang Shu

  2021-05-25

  50985 3313 Pages:321-356

• A High-Order Discontinuous Galerkin Solver for Helically Symmetric Flows

  Dominik Dierkes, Florian Kummer, Dominik Plümacher

  2021-04-30

  46355 4074 Pages:288-320

• A Polygonal Discontinuous Galerkin Formulation for Contact Mechanics in Fluid-Structure Interaction Problems

  Stefano Zonca, Paola F. Antonietti, Christian Vergara

  2021-04-30

  51498 4727 Pages:1-33

• 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

  45858 3334 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

  48425 3334 Pages:927-966

• FESTUNG: A MATLAB / GNU Octave Toolbox for the Discontinuous Galerkin Method. Part IV: Generic Problem Framework and Model-Coupling Interface

  Balthasar Reuter, Andreas Rupp, Vadym Aizinger, Florian Frank, Peter Knabner

  2020-06-05

  55278 3306 Pages:827-876

• A Study of Several Artificial Viscosity Models within the Discontinuous Galerkin Framework

  Jian Yu, Jan S. Hesthaven

  2020-05-06

  54875 4081 Pages:1309-1343

• An Adaptive Moving Mesh Discontinuous Galerkin Method for the Radiative Transfer Equation

  Min Zhang, Juan Cheng, Weizhang Huang, Jianxian Qiu

  2020-02-23

  51083 3289 Pages:1140-1173

• A GPU-Accelerated Hybridizable Discontinuous Galerkin Method for Linear Elasticity

  Maurice S. Fabien

  2019-12-07

  47335 5124 Pages:513-545 Open-access

• Efficient, Accurate and Energy Stable Discontinuous Galerkin Methods for Phase Field Models of Two-Phase Incompressible Flows

  Ruihan Guo, Yan Xu

  2019-07-02

  49554 3194 Pages:1224-1248

• Locally Divergence-Free Spectral-DG Methods for Ideal Magnetohydrodynamic Equations on Cylindrical Coordinates

  Yong Liu, Qingyuan Liu, Yuan Liu, Chi-Wang Shu, Mengping Zhang

  2019-04-28

  48753 3371 Pages:631-653

• Simulation of Bipolar Charge Transport in Graphene by Using a Discontinuous Galerkin Method

  Armando Majorana, Giovanni Nastasi, Vittorio Romano

  2019-02-25

  46786 5278 Pages:114-134

• Reconstructed Discontinuous Galerkin Methods for Hyperbolic Diffusion Equations on Unstructured Grids

  Jialin Lou, Xiaodong Liu, Hong Luo, Hiroaki Nishikawa

  2019-01-10

  51043 4086 Pages:1302-1327

• A Simplified Artificial Compressibility Flux for the Discontinuous Galerkin Solution of the Incompressible Navier-Stokes Equations

  Fan Zhang, Hansong Tang, Jian Cheng, Tiegang Liu

  2018-12-08

  48845 3547 Pages:988-1009

• Conservative and Dissipative Local Discontinuous Galerkin Methods for Korteweg-de Vries Type Equations

  Qian Zhang, Yinhua Xia

  2018-10-11

  45930 3465 Pages:532-563

• An Improved Formulation for Hybridizable Discontinuous Galerkin Fluid-Structure Interaction Modeling with Reduced Computational Expense

  Jason P. Sheldon, Scott T. Miller, Jonathan S. Pitt

  2018-09-17

  45404 3809 Pages:1279-1299