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International Journal of Numerical Analysis and Modeling
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  • Optimal Error Estimates of the Local Discontinuous Galerkin Method for Willmore Flow of Graphs on Cartesian Meshes

    L. Ji & Y. Xu
    2011-08-01
    31717 2558 Pages:252-283
  • Local Error Estimates of the LDG Method for 1-D Singularly Perturbed Problems

    H. Zhu & Z. Zhang
    2013-10-01
    32175 2646 Pages:350-373
  • A Posteriori Error Estimates for a Local Discontinuous Galerkin Approximation of Semilinear Second-Order Elliptic Problems on Cartesian Grids

    Mahboub Baccouch
    2023-11-13
    22306 1982 Pages:772-804
  • 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
    36577 2664 Pages:767-793
  • 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
    32412 2595 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
    32409 2693 Pages:355-380
  • Asymptotically Exact Local Discontinuous Galerkin Error Estimates for the Linearized Korteweg-de Vries Equation in One Space Dimension

    Mahboub Baccouch
    2015-12-01
    33432 3943 Pages:162-195
  • Analysis of the Discontinuous Galerkin Interior Penalty Method with Solenoidal Approximations for the Stokes Equations

    A. Montlaur & S. Fernandez-Mendez
    2014-11-01
    32266 2646 Pages:715-725
  • Uniform Convergence of a Coupled Method for Convection-Diffusion Problems in 2-D Shishkin Mesh

    P. Zhu, Z. Xie & S. Zhou
    2013-10-01
    32689 2538 Pages:845-859
  • The Local Discontinuous Galerkin Method for Optimal Control Problem Governed by Convection Diffusion Equations

    Z. Zhou & N. Yan
    2010-07-01
    31283 2578 Pages:681-699
  • Discontinuous Galerkin Finite Element Method with Interior Penalties for Convection Diffusion Optimal Control Problem

    T. Sun
    2018-08-15
    31581 3608 Pages:87-107
  • $hp$-Version Interior Penalty Discontinuous Galerkin Finite Element Methods on Anisotropic Meshes

    Emmanuil H. Georgoulis
    2006-03-01
    31039 3765 Pages:52-79
  • Symmetric Interior Penalty DG Methods for the Compressible Navier-Stokes Equations I: Method Formulation

    R. Hartmann & P. Houston
    2006-03-01
    30771 4068 Pages:1-20
  • Conservative Local Discontinuous Galerkin Methods for Time Dependent Schrödinger Equation

    T. Lu, W. Cai & P. Zhang
    2005-04-03
    32216 3630 Pages:75-84
  • A High Order Unfitted Finite Element Method for Time-Harmonic Maxwell Interface Problems

    Zhiming Chen, Ke Li, Maohui Lyu, Xueshaung Xiang
    2024-10-09
    13829 1092 Pages:822-849
  • Positivity-Preserving High-Order Schemes for Conservation Laws on Arbitrarily Distributed Point Clouds with a Simple WENO Limiter

    Jie Du, Chi-Wang Shu
    2018-08-14
    43437 4012 Pages:1-25
  • A Simple Finite Element Method of the Cauchy Problem for Poisson Equation

    Xiaozhe Hu, Lin Mu & Xiu Ye
    2018-09-18
    32675 2524 Pages:591-603
  • A Conforming DG Method for the Biharmonic Equation on Polytopal Meshes

    Xiu Ye, Shangyou Zhang
    2023-11-13
    21938 1962 Pages:855-869
  • Discontinuous Galerkin Method for Monotone Nonlinear Elliptic Problems

    C. Bi & Y. Lin
    2012-09-01
    32725 2572 Pages:999-1024
  • Discontinuous Galerkin Methods for the Biharmonic Problem on Polygonal and Polyhedral Meshes

    Zhaonan Dong
    2019-08-09
    33680 2603 Pages:825-846
  • Hybridizable Discontinuous Galerkin Method for Linear Hyperbolic Integro-Differential Equations

    Riya Jain, Sangita Yadav
    2025-02-20
    8649 566 Pages:202-225
  • 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
    24436 2095 Pages:618-646
  • An Interior Penalty Discontinuous Galerkin Method for a Class of Monotone Quasilinear Elliptic Problems

    Peter W. Fick
    2015-12-01
    33099 2577 Pages:750-777
  • A Total Variation Discontinuous Galerkin Approach for Image Restoration

    Benjamin Stamm & Thomas P. Wihler
    2015-12-01
    33606 3994 Pages:81-93
  • A Slope Limiting Procedure in Discontinuous Galerkin Finite Element Method for Gasdynamics Applications

    S. Tu, S. Aliabadi
    2005-02-01
    31464 2653 Pages:163-178
  • A New Finite Volume Method for the Stokes Problems

    J. Wang, Y. Wang & X. Ye
    2010-07-01
    31300 2593 Pages:281-302
  • Interior-Exterior Penalty Approach for Solving Elasto-Hydrodynamic Lubrication Problem: Part I

    Peeyush Singh, Prawal Sinha
    2020-08-04
    34860 2537 Pages:695-731
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