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  • A Posteriori Error Analysis for an Ultra-Weak Discontinuous Galerkin Approximations of Nonlinear Second-Order Two-Point Boundary-Value Problems

    Mahboub Baccouch
    2023-09-19
    24521 2122 Pages:618-646
  • 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
    42990 2602 Pages:788-810
  • Asymptotically Exact a Posteriori Error Estimates for the Local Discontinuous Galerkin Method for Nonlinear KdV Equations in One Space Dimension

    Mahboub Baccouch
    2020-10-27
    36707 2686 Pages:767-793
  • Optimal Error Estimates of the Local Discontinuous Galerkin Method for the Two-Dimensional Sine-Gordon Equation on Cartesian Grids

    Mahboub Baccouch
    2018-11-22
    33339 2770 Pages:436-462
  • A New $a$ $Posteriori$ Error Estimate for the Interior Penalty Discontinuous Galerkin Method

    Wei Yang, Luling Cao, Yunqing Huang, Jintao Cui
    2019-02-22
    35858 2778 Pages:210-224
  • Local Analysis of the Local Discontinuous Galerkin Method with the Generalized Alternating Numerical Flux for Two-Dimensional Singularly Perturbed Problem

    Yao Cheng, Qiang Zhang, Haijin Wang
    2018-08-15
    32471 2619 Pages:785-810
  • An Optimal a Posteriori Error Estimates of the Local Discontinuous Galerkin Method for the Second-Order Wave Equation in One Space Dimension

    Mahboub Baccouch
    2017-06-01
    32494 2722 Pages:355-380
  • Superconvergence of Discontinuous Galerkin Methods for Linear Hyperbolic Equations with Singular Initial Data

    Li Guo & Yang Yang
    2017-06-01
    31859 2827 Pages:342-354
  • 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
    31842 2635 Pages:403-434
  • An Interior Penalty Discontinuous Galerkin Method for a Class of Monotone Quasilinear Elliptic Problems

    Peter W. Fick
    2015-12-01
    33165 2611 Pages:750-777
  • Asymptotically Exact Local Discontinuous Galerkin Error Estimates for the Linearized Korteweg-de Vries Equation in One Space Dimension

    Mahboub Baccouch
    2015-12-01
    33527 3978 Pages:162-195
  • A Total Variation Discontinuous Galerkin Approach for Image Restoration

    Benjamin Stamm & Thomas P. Wihler
    2015-12-01
    33696 4027 Pages:81-93
  • Analysis of the Discontinuous Galerkin Interior Penalty Method with Solenoidal Approximations for the Stokes Equations

    A. Montlaur & S. Fernandez-Mendez
    2014-11-01
    32366 2675 Pages:715-725
  • Global Convergence of a Posteriori Error Estimates for the Discontinuous Galerkin Method for One-Dimensional Linear Hyperbolic Problems

    M. Baccouch
    2021-10-20
    33393 3726 Pages:172-192
  • On Convergence of the Streamline Diffusion and Discontinuous Galerkin Methods for the Multi-Dimensional Fermi Pencil Beam Equation

    M. Asadzadeh & E. Kazemi
    2013-10-01
    32840 2567 Pages:860-875
  • 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
    32597 2595 Pages:430-444
  • Anisotropic $hp$-Adaptive Discontinuous Galerkin Finite Element Methods for Compressible Fluid Flows

    S. Giani & P. Houston
    2012-09-01
    32284 2566 Pages:928-949
  • Element-by-Element Post-Processing of Discontinuous Galerkin Methods for Naghdi Arches

    F. Celiker, L. Fan & Z. Zhang
    2011-08-01
    34357 2731 Pages:391-409
  • 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
    33174 3846 Pages:28-47
  • The Local Discontinuous Galerkin Method for Optimal Control Problem Governed by Convection Diffusion Equations

    Z. Zhou & N. Yan
    2010-07-01
    31325 2603 Pages:681-699
  • Discontinuous Galerkin Finite Element Method with Interior Penalties for Convection Diffusion Optimal Control Problem

    T. Sun
    2018-08-15
    31658 3673 Pages:87-107
  • Development of a $hp$-Like Discontinuous Galerkin Time-Domain Method on Non-Conforming Simplicial Meshes for Electromagnetic Wave Propagation

    H. Fahs
    2009-06-01
    30595 2705 Pages:193-216
  • A Pre-Processing Moving Mesh Method for Discontinuous Galerkin Approximations of Advection-Diffusion-Reaction Problems

    P. F. Antonietti & P. Houston
    2008-05-01
    30887 3306 Pages:704-728
  • Superconvergence Properties of Discontinuous Galerkin Methods for Two-Point Boundary Value Problems

    Hongsen Chen
    2006-03-01
    29983 2625 Pages:163-185
  • $hp$-Version Interior Penalty Discontinuous Galerkin Finite Element Methods on Anisotropic Meshes

    Emmanuil H. Georgoulis
    2006-03-01
    31102 3826 Pages:52-79
  • Symmetric Interior Penalty DG Methods for the Compressible Navier-Stokes Equations I: Method Formulation

    R. Hartmann & P. Houston
    2006-03-01
    30839 4136 Pages:1-20
  • A Slope Limiting Procedure in Discontinuous Galerkin Finite Element Method for Gasdynamics Applications

    S. Tu, S. Aliabadi
    2005-02-01
    31517 2684 Pages:163-178
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