Search Results

• 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

  32949 2710 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

  42172 3092 Pages:1217-1239

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

  Fan Zhang, Tiegang Liu

  2022-09-29

  40876 3129 Pages:850-877

• 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

• 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

  43581 3155 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

  47752 3186 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

  47581 3080 Pages:1150-1184

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

  Jianguo Huang, Yue Yu

  2021-08-10

  46892 3055 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

  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 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

• 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

• 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

  55037 3246 Pages:827-876

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

  Jian Yu, Jan S. Hesthaven

  2020-05-06

  54545 4012 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

  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

• 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

• 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

  48553 3302 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

  46584 5155 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

  50840 4033 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

  48659 3475 Pages:988-1009

• 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

• 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

  45211 3752 Pages:1279-1299

• 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

• Characteristic Local Discontinuous Galerkin Methods for Incompressible Navier-Stokes Equations

  Shuqin Wang, Weihua Deng, Jinyun Yuan, Yujiang Wu

  2019-10-31

  42157 4669 Pages:202-227