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  • A Conforming Discontinuous Galerkin Finite Element Method

    Xiu Ye, Shangyou Zhang
    2021-02-04
    34855 3878 Pages:110-117
  • A Conforming Discontinuous Galerkin Finite Element Method for Second-Order Parabolic Equation

    Fuchang Huo, Yuchen Sun, Jiageng Wu, Liyuan Zhang
    2025-03-14
    7993 633 Pages:432-458
  • An Embedded SDG Method for the Convection-Diffusion Equation

    Siu Wun Cheung, Eric T. Chung
    2019-02-22
    38041 2746 Pages:255-275
  • Analysis of an Embedded Discontinuous Galerkin Method with Implicit-Explicit Time-Marching for Convection-Diffusion Problems

    Guosheng Fu & Chi-Wang Shu
    2018-09-18
    32908 2484 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
    18809 1406 Pages:528-559
  • A Conforming Discontinuous Galerkin Finite Element Method: Part III

    Xiu Ye, Shangyou Zhang
    2020-10-27
    36210 2636 Pages:794-805
  • 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
    34870 3950 Pages:154-177
  • A New $a$ $Posteriori$ Error Estimate for the Interior Penalty Discontinuous Galerkin Method

    Wei Yang, Luling Cao, Yunqing Huang, Jintao Cui
    2019-02-22
    35763 2748 Pages:210-224
  • The Multiscale Discontinuous Galerkin Method for Solving a Class of Second Order Elliptic Problems with Rough Coefficients

    W. Wang, J. Guzmán, C.-W. Shu
    2018-08-15
    33117 3807 Pages:28-47
  • Development of a $hp$-Like Discontinuous Galerkin Time-Domain Method on Non-Conforming Simplicial Meshes for Electromagnetic Wave Propagation

    H. Fahs
    2009-06-01
    30538 2685 Pages:193-216
  • An Arbitrary-Order Ultra-Weak Discontinuous Galerkin Method for Two-Dimensional Semilinear Second-Order Elliptic Problems on Cartesian Grids

    Mahboub Baccouch
    2022-09-27
    37033 2629 Pages:864-886
  • Stability and Dispersion Analysis of the Staggered Discontinuous Galerkin Method for Wave Propagation

    Hiu Ning Chan, Gary Cohen & Eric T. Chung
    2018-08-15
    34921 4092 Pages:233-256
  • Discontinuous Galerkin Method for Nonlinear Quasi-Static Poroelasticity Problems

    Fan Chen, Ming Cui, Chenguang Zhou
    2024-04-07
    20282 2112 Pages:201-220
  • Energy and Mass Conservative Averaging Local Discontinuous Galerkin Method for Schrödinger Equation

    Fubiao Lin, Yaxiang Li, Jun Zhang
    2021-11-05
    43177 2614 Pages:723-739
  • A Conforming Discontinuous Galerkin Finite Element Method: Part II

    Xiu Ye, Shangyou Zhang
    2020-02-03
    34033 2629 Pages:281-296
  • A Discontinuous Ritz Method for a Class of Calculus of Variations Problems

    Xiaobing Feng, Stefan Schnake
    2019-02-22
    37530 3915 Pages:340-356 Open-access
  • On Local Super-Penalization of Interior Penalty Discontinuous Galerkin Methods

    A. Cangiani, J. Chapman, E. H. Georgoulis, M. Jensen
    2014-11-01
    32633 2593 Pages:478-495
  • Coupling Method of Plane Wave DG and Boundary Element for Electromagnetic Scattering

    Qiya Hu, Xingyue Guo, Yang Liu, Haijing Zhou
    2019-02-21
    34173 2670 Pages:609-625
  • 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
    32868 2610 Pages:784-807
  • Robust and Efficient Mixed Hybrid Discontinuous Finite Element Methods for Elliptic Interface Problems

    Jiang Zhu, H\u00e9ctor Andr\u00e9s Vargas Poblete
    2019-08-09
    33759 2587 Pages:767-788
  • Stability Analysis and Error Estimates of Local Discontinuous Galerkin Method for Convection-Diffusion Equations on Overlapping Mesh with Non-Periodic Boundary Conditions

    Nattaporn Chuenjarern, Kanognudge Wuttanachamsri, Yang Yang
    2021-11-05
    42896 2580 Pages:788-810
  • Optimal Error Estimates of the Local Discontinuous Galerkin Method for the Two-Dimensional Sine-Gordon Equation on Cartesian Grids

    Mahboub Baccouch
    2018-11-22
    33245 2749 Pages:436-462
  • Analysis of Optimal Error Estimates and Superconvergence of the Discontinuous Galerkin Method for Convection-Diffusion Problems in One Space Dimension

    M. Baccouch & H. Temimi
    2016-05-03
    31777 2624 Pages:403-434
  • Global Convergence of a Posteriori Error Estimates for the Discontinuous Galerkin Method for One-Dimensional Linear Hyperbolic Problems

    M. Baccouch
    2021-10-20
    33331 3689 Pages:172-192
  • Numerical Analysis of the Fractional Seventh-Order KdV Equation Using an Implicit Fully Discrete Local Discontinuous Galerkin Method

    L. Wei, Y. He, Y. Zhang
    2013-10-01
    32531 2573 Pages:430-444
  • Energy Norm Error Estimates for Averaged Discontinuous Galerkin Methods in 1 Dimension

    G. Csorgo & F. Izsak
    2014-11-01
    32307 2527 Pages:567-586
  • Two-Grid $hp$-Version Discontinuous Galerkin Finite Element Methods for Quasi-Newtonian Fluid Flows

    S. Congreve & P. Houston
    2014-11-01
    32944 2583 Pages:496-524
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