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  • Analysis of an Embedded Discontinuous Galerkin Method with Implicit-Explicit Time-Marching for Convection-Diffusion Problems

    Guosheng Fu & Chi-Wang Shu
    2018-09-18
    32990 2508 Pages:477-499
  • $hp$-Version Analysis for Arbitrarily Shaped Elements on the Boundary Discontinuous Galerkin Method for Stokes Systems

    Efthymios N. Karatzas
    2024-06-24
    18899 1442 Pages:528-559
  • A Priori Error Estimates for Semi-Discrete Discontinuous Galerkin Methods Solving Nonlinear Hamilton-Jacobi Equations with Smooth Solutions

    Tao Xiong, Chi-Wang Shu & Mengping Zhang
    2018-08-15
    34958 3987 Pages:154-177
  • A Conforming Discontinuous Galerkin Finite Element Method

    Xiu Ye, Shangyou Zhang
    2021-02-04
    34969 3920 Pages:110-117
  • A Conforming Discontinuous Galerkin Finite Element Method: Part III

    Xiu Ye, Shangyou Zhang
    2020-10-27
    36333 2656 Pages:794-805
  • A Conforming Discontinuous Galerkin Finite Element Method for Second-Order Parabolic Equation

    Fuchang Huo, Yuchen Sun, Jiageng Wu, Liyuan Zhang
    2025-03-14
    8114 684 Pages:432-458
  • An Arbitrary-Order Ultra-Weak Discontinuous Galerkin Method for Two-Dimensional Semilinear Second-Order Elliptic Problems on Cartesian Grids

    Mahboub Baccouch
    2022-09-27
    37135 2651 Pages:864-886
  • Energy and Mass Conservative Averaging Local Discontinuous Galerkin Method for Schrödinger Equation

    Fubiao Lin, Yaxiang Li, Jun Zhang
    2021-11-05
    43257 2634 Pages:723-739
  • A Conforming Discontinuous Galerkin Finite Element Method: Part II

    Xiu Ye, Shangyou Zhang
    2020-02-03
    34102 2646 Pages:281-296
  • An Embedded SDG Method for the Convection-Diffusion Equation

    Siu Wun Cheung, Eric T. Chung
    2019-02-22
    38132 2767 Pages:255-275
  • A Note on Optimal Spectral Bounds for Nonoverlapping Domain Decomposition Preconditioners for $hp$-Version Discontinuous Galerkin Methods

    P. F. Antonietti, P. Houston & I. Smears
    2016-07-03
    32045 2707 Pages:513-524
  • Two-Grid $hp$-Version Discontinuous Galerkin Finite Element Methods for Quasi-Newtonian Fluid Flows

    S. Congreve & P. Houston
    2014-11-01
    33024 2606 Pages:496-524
  • On Local Super-Penalization of Interior Penalty Discontinuous Galerkin Methods

    A. Cangiani, J. Chapman, E. H. Georgoulis, M. Jensen
    2014-11-01
    32701 2613 Pages:478-495
  • Stability and Dispersion Analysis of the Staggered Discontinuous Galerkin Method for Wave Propagation

    Hiu Ning Chan, Gary Cohen & Eric T. Chung
    2018-08-15
    35012 4131 Pages:233-256
  • Discontinuous Galerkin Methods for Convection-Diffusion Equations for Varying and Vanishing Diffusivity

    J. Proft, B. Rivière
    2009-06-01
    30821 2647 Pages:533-561
  • Energy Norm Error Estimates for Averaged Discontinuous Galerkin Methods in 1 Dimension

    G. Csorgo & F. Izsak
    2014-11-01
    32391 2547 Pages:567-586
  • Optimal Error Estimates of the Local Discontinuous Galerkin Method for Willmore Flow of Graphs on Cartesian Meshes

    L. Ji & Y. Xu
    2011-08-01
    31779 2574 Pages:252-283
  • Discontinuous Galerkin Approximations for Distributed Optimal Control Problems Constrained by Parabolic PDE's

    Konstantinos Chrysafinos
    2021-11-09
    30755 2387 Pages:690-712
  • On a Priori Error Analysis of Discontinuous Galerkin Method for the Vlasov-Nonstationary Stokes System

    Krishan Kumar, Harsha Hutridurga, Amiya K. Pani
    2025-12-28
    911 84 Pages:275-303
  • A Fully Discrete Ultra-Weak Discontinuous Galerkin Method for Solving the Drift-Diffusion Model of Semiconductor Devices

    Xinyu Ding, Fuzheng Gao, Yunxian Liu
    2025-12-28
    926 79 Pages:223-251
  • A Priori Error Analysis of the Local Discontinuous Galerkin Method for the Viscous Burgers-Poisson System

    Nattapol Ploymaklam, Pratik M. Kumbhar & Amiya K. Pani
    2018-09-18
    32925 2628 Pages:784-807
  • Discontinuous Galerkin Methods for the Biharmonic Problem on Polygonal and Polyhedral Meshes

    Zhaonan Dong
    2019-08-09
    33732 2626 Pages:825-846
  • Robust and Efficient Mixed Hybrid Discontinuous Finite Element Methods for Elliptic Interface Problems

    Jiang Zhu, H\u00e9ctor Andr\u00e9s Vargas Poblete
    2019-08-09
    33819 2607 Pages:767-788
  • Hybridizable Discontinuous Galerkin Method for Linear Hyperbolic Integro-Differential Equations

    Riya Jain, Sangita Yadav
    2025-02-20
    8784 606 Pages:202-225
  • Choice of Interior Penalty Coefficient for Interior Penalty Discontinuous Galerkin Method for Biot’s System by Employing Machine Learning

    Sanghyun Lee, Teeratorn Kadeethum, Hamidreza M. Nick
    2024-10-08
    13293 1113 Pages:764-792
  • Discontinuous Galerkin Method for Nonlinear Quasi-Static Poroelasticity Problems

    Fan Chen, Ming Cui, Chenguang Zhou
    2024-04-07
    20682 2370 Pages:201-220
  • A Posteriori Error Estimates for a Local Discontinuous Galerkin Approximation of Semilinear Second-Order Elliptic Problems on Cartesian Grids

    Mahboub Baccouch
    2023-11-13
    22384 2014 Pages:772-804
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