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  • GPU Accelerated Discontinuous Galerkin Methods for Shallow Water Equations

    Rajesh Gandham, David Medina, Timothy Warburton
    2018-04-03
    42675 4693 Pages:37-64
  • Efficient Preconditioners for a Shock Capturing Space-Time Discontinuous Galerkin Method for Systems of Conservation Laws

    Andreas Hiltebrand, Siddhartha Mishra
    2018-04-02
    40947 3385 Pages:1320-1359
  • A Discontinuous Galerkin Method for Pricing American Options Under the Constant Elasticity of Variance Model

    David P. Nicholls, Andrew Sward
    2018-04-02
    38202 3161 Pages:761-778
  • Discontinuous-Galerkin Discretization of a New Class of Green-Naghdi Equations

    Arnaud Duran, Fabien Marche
    2018-04-02
    38437 3150 Pages:721-760
  • Fast Solver for the Local Discontinuous Galerkin Discretization of the KdV Type Equations

    Ruihan Guo, Yan Xu
    2020-07-30
    40379 3124 Pages:424-457
  • Runge-Kutta Discontinuous Galerkin Method Using WENO-Type Limiters: Three-Dimensional Unstructured Meshes

    Jun Zhu, Jianxian Qiu
    2012-11-01
    42586 4218 Pages:985-1005
  • Implicit Quadrature-Free Direct Reconstruction Method for Efficient Scale-Resolving Simulations

    Hojun You, Juhyun Kim, Chongam Kim
    2023-05-12
    36255 2996 Pages:992-1034
  • A DDG Method with a Residual-Based Artificial Viscosity for the Transonic/Supersonic Compressible Flow

    Xiaofeng He, Kun Wang, Yiwei Feng, Tiegang Liu, Xiaojun Wang
    2022-03-30
    51696 3278 Pages:1134-1161
  • An Adaptive Modal Discontinuous Galerkin Finite Element Parallel Method Using Unsplit Multi-Axial Perfectly Matched Layer for Seismic Wave Modeling

    Yang Xu, Xiaofei Chen, Wei Zhang, Xiao Pan
    2022-03-30
    54157 3231 Pages:1083-1113
  • An LDG Method for Stochastic Cahn-Hilliard Type Equation Driven by General Multiplicative Noise Involving Second-Order Derivative

    Li Zhou, Yunzhang Li
    2022-01-27
    43692 3313 Pages:516-547
  • Direct Simulation of Charge Transport in Graphene Nanoribbons

    Giovanni Nastasi, V. Dario Camiola, Vittorio Romano
    2022-01-27
    43253 3284 Pages:449-494
  • Mortar DG Method with Staggered Hybridization for Rayleigh Waves Simulation

    Jie Du, Eric Chung
    2020-11-26
    46757 4404 Pages:111-127
  • Recurrence Phenomenon for Vlasov-Poisson Simulations on Regular Finite Element Mesh

    Michel Mehrenberger, Laurent Navoret, Nhung Pham
    2020-07-21
    46803 3201 Pages:877-901
  • An Adjoint-Based h-Adaptive Reconstructed Discontinuous Galerkin Method for the Steady-State Compressible Euler Equations

    Jian Cheng, Shengjiao Yu, Huiqiang Yue, Tiegang Liu
    2019-04-28
    47134 3261 Pages:855-879
  • Semi-Implicit Spectral Deferred Correction Method Based on the Invariant Energy Quadratization Approach for Phase Field Problems

    Ruihan Guo, Yan Xu
    2019-02-25
    50365 5372 Pages:87-113
  • Capturing Near-Equilibrium Solutions: A Comparison Between High-Order Discontinuous Galerkin Methods and Well-Balanced Schemes

    Maria Han Veiga, David A. Velasco-Romero, Remi Abgrall, Romain Teyssier
    2019-02-25
    46253 5283 Pages:1-34
  • Error Analysis of the Plane Wave Discontinuous Galerkin Method for Maxwell's Equations in Anisotropic Media

    Long Yuan, Qiya Hu
    2019-01-10
    46406 3906 Pages:1496-1522
  • High Order Finite Difference Scheme based on DG Boundary Treatment (FDbDG)

    Kun Wang, Jian Cheng, Tiegang Liu
    2019-01-10
    47533 3947 Pages:1413-1445
  • Error Estimates for the Iterative Discontinuous Galerkin Method to the Nonlinear Poisson-Boltzmann Equation

    Peimeng Yin, Yunqing Huang, Hailiang Liu
    2018-07-03
    46426 5092 Pages:168-197
  • Domain Decomposition Preconditioners for the System Generated by Discontinuous Galerkin Discretization of 2D-3T Heat Conduction Equations

    Qiya Hu, Lin Zhao
    2017-10-02
    43185 3258 Pages:1069-1100
  • Runge-Kutta Central Discontinuous Galerkin Methods for the Special Relativistic Hydrodynamics

    Jian Zhao, Huazhong Tang
    2017-09-02
    41719 3352 Pages:643-682
  • Simulating Magnetohydrodynamic Instabilities with Conservative Perturbed MHD Model Using Discontinuous Galerkin Method

    Jun Ma, Wenfeng Guo, Zhi Yu
    2018-04-09
    41704 12133 Pages:1429-1448
  • Stability of a Leap-Frog Discontinuous Galerkin Method for Time-Domain Maxwell's Equations in Anisotropic Materials

    Aderito Araujo, Silvia Barbeiro, Maryam Khaksar Ghalati
    2018-04-09
    41506 3345 Pages:1350-1375
  • A High-Order Time Domain Discontinuous Galerkin Method with Orthogonal Tetrahedral Basis for Electromagnetic Simulations in 3-D Heterogeneous Conductive Media

    Jun Yang, Wei Cai, Xiaoping Wu
    2018-04-09
    43263 3365 Pages:1065-1089
  • A Simple Explanation of Superconvergence for Discontinuous Galerkin Solutions to $\boldsymbol{u_t}$+$\boldsymbol{u_x}$=0

    Philip Roe
    2018-04-09
    44306 3202 Pages:905-912
  • Runge-Kutta Discontinuous Galerkin Method with a Simple and Compact Hermite WENO Limiter on Unstructured Meshes

    Jun Zhu, Xinghui Zhong, Chi-Wang Shu, Jianxian Qiu
    2018-04-09
    41130 3139 Pages:623-649
  • An Efficient Implementation of the Divergence Free Constraint in a Discontinuous Galerkin Method for Magnetohydrodynamics on Unstructured Meshes

    Christian Klingenberg, Frank Poerner, Yinhua Xia
    2018-04-08
    42156 3285 Pages:423-442
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