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  • Optimal a Posteriori Error Estimates of the Local Discontinuous Galerkin Method for Convection-Diffusion Problems in One Space Dimension

    Mahboub Baccouch
    2018-08-22
    36217 2811 Pages:511-531
  • High Order Local Discontinuous Galerkin Methods for the Allen-Cahn Equation: Analysis and Simulation

    Ruihan Guo, Liangyue Ji, Yan Xu
    2018-08-22
    41159 3011 Pages:135-158
  • Analysis of Sharp Superconvergence of Local Discontinuous Galerkin Method for One-Dimensional Linear Parabolic Equations

    Yang Yang, Chi-Wang Shu
    2018-08-22
    36884 2785 Pages:323-340
  • A Posteriori Error Estimates for Local $C^0$ Discontinuous Galerkin Methods for Kirchhoff Plate Bending Problems

    Yifeng Xu, Jianguo Huang & Xuehai Huang
    2021-07-01
    37371 4414 Pages:665-686 Open-access
  • Discontinuous Galerkin Calculations for a Nonlinear PDE Model of DNA Transcription with Short, Transient and Frequent Pausing

    Lisa Davis, Tomáš Gedeon, Jennifer Thorenson
    2021-07-01
    36522 3865 Pages:601-629
  • Mixed Interior Penalty Discontinuous Galerkin Methods for One-Dimensional Fully Nonlinear Second Order Elliptic and Parabolic Equations

    Xiaobing Feng & Thomas Lewis
    2018-08-22
    36870 4874 Pages:107-135 Open-access
  • Error Estimate on a Fully Discrete Local Discontinuous Galerkin Method for Linear Convection-Diffusion Problem

    Haijin Wang & Qiang Zhang
    2018-08-22
    36568 3668 Pages:283-307
  • Exponentially Fitted Local Discontinuous Galerkin Method for Convection-Diffusion Problems

    Tao Yu & Xingye Yue
    2012-06-02
    34827 3512 Pages:298-310
  • Local Multilevel Methods for Second-Order Elliptic Problems with Highly Discontinuous Coefficients

    Huangxin Chen, Xuejun Xu & Weiying Zheng
    2012-06-02
    34462 3389 Pages:223-248
  • Superconvergence of a Discontinuous Galerkin Method for First-Order Linear Delay Differential Equations

    Dongfang Li & Chengjian Zhang
    2018-08-22
    34652 3348 Pages:574-588
  • A Priori Error Estimates of a Combined Mixed Finite Element and Discontinuous Galerkin Method for Compressible Miscible Displacement with Molecular Diffusion and Dispersion

    Jiming Yang & Yanping Chen
    2018-08-22
    33809 4002 Pages:91-107
  • The $l^1$-Stability of a Hamiltonian-Preserving Scheme for the Liouville Equation with Discontinuous Potentials

    Xin Wen & Shi Jin
    2018-08-15
    34223 3719 Pages:45-67
  • Finite Element and Discontinuous Galerkin Method for Stochastic Helmholtz Equation in Two- and Three-Dimensions

    Yanzhao Cao, Ran Zhang & Kai Zhang
    2018-08-07
    32661 3776 Pages:702-715
  • The Optimal Convergence Order of the Discontinuous Finite Element Methods for First Order Hyperbolic Systems

    Tie Zhang, Datao Shi & Zhen Li
    2018-08-07
    32578 3628 Pages:689-701
  • Reflection/Transmission Characteristics of a Discontinuous Galerkin Method for Maxwell's Equations in Dispersive Inhomogeneous Media

    Xia Ji, Wei Cai & Pingwen Zhang
    2018-08-07
    32286 3663 Pages:347-364
  • A Unified a Posteriori Error Analysis for Discontinuous Galerkin Approximations of Reactive Transport Equations

    Ji-Ming Yang & Yan-Ping Chen
    2006-06-02
    33470 3311 Pages:425-434
  • An Iterative Hybridized Mixed Finite Element Method for Elliptic Interface Problems with Strongly Discontinuous Coefficients

    Dao-Qi Yang, Jennifer Zhao
    2003-06-02
    32440 3343 Pages:257-276
  • The Full Discrete Discontinuous Finite Element Analysis for First-Order Linear Hyperbolic Equation

    Che Sun, Shu-Jie Qin
    1999-02-02
    32784 3571 Pages:97-112
  • A Space-Time Trefftz DG Method for the Second Order Time-Dependent Maxwell System in Anisotropic Media

    Long Yuan, Xiaoyu Wang, Xiaoqiang Yue
    2026-04-15
    2784 121 Pages:394-426
  • Regularity Theory and Numerical Algorithm for the Time-Fractional Klein-Kramers Equation

    Jing Sun, Daxin Nie, Weihua Deng
    2024-11-19
    14187 1156 Pages:257-279
  • A Direct Discontinuous Galerkin Method for Time Fractional Diffusion Equations with Fractional Dynamic Boundary Conditions

    Jingjun Zhao, Wenjiao Zhao, Yang Xu
    2023-12-01
    29652 2564 Pages:156-177
  • Semi-Implicit Spectral Deferred Correction Methods Based on Second-Order Time Integration Schemes for Nonlinear PDEs

    Ruihan Guo, Yan Xu
    2023-12-01
    31479 2997 Pages:111-133
  • The a Posteriori Error Estimator of SDG Method for Variable Coefficients Time-Harmonic Maxwell's Equations

    Wei Yang, Xin Liu, Bin He, Yunqing Huang
    2022-11-15
    301862 3140 Pages:263-286
  • Reconstructed Discontinuous Approximation to Stokes Equation in a Sequential Least Squares Formulation

    Ruo Li, Fanyi Yang
    2022-12-01
    296308 3927 Pages:39-71
  • A New Hybridized Mixed Weak Galerkin Method for Second-Order Elliptic Problems

    Abdelhamid Zaghdani, Sayed Sayari, Miled EL Hajji
    2022-10-06
    39507 3085 Pages:499-516
  • Source Term Identification with Discontinuous Dual Reciprocity Approximation and Quasi-Newton Method from Boundary Observations

    El Madkouri Abdessamad, Ellabib Abdellatif
    2021-04-07
    42128 3284 Pages:311-332
  • Discontinuous Galerkin Methods and Their Adaptivity for the Tempered Fractional (Convection) Diffusion Equations

    Xudong Wang, Weihua Deng
    2021-07-01
    42862 3833 Pages:839-867
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