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Advances in Applied Mathematics and Mechanics
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  • A Well-Balanced Runge-Kutta Discontinuous Galerkin Method for Multilayer Shallow Water Equations with Non-Flat Bottom Topography

    Nouh Izem, Mohammed Seaid
    2022-02-25
    47360 3264 Pages:725-758
  • A Discontinuous Galerkin Method Based on a BGK Scheme for the Navier-Stokes Equations on Arbitrary Grids

    Hong Luo, Luqing Luo, Kun Xu
    2018-08-10
    41573 3914 Pages:301-318
  • Discontinuous Galerkin Methods for Auto-Convolution Volterra Integral Equations

    Yuping Li, Hui Liang, Huifang Yuan
    2025-05-12
    8366 513 Pages:1111-1132
  • The Locally Conservative Galerkin (LCG) Method — a Discontinuous Methodology Applied to a Continuous Framework

    Rhodri L. T. Bevan, Raoul vanLoon, Perumal Nithiarasu
    2018-08-10
    40770 3740 Pages:319-340
  • A High-Order Well-Balanced Discontinuous Galerkin Method Based on the Hydrostatic Reconstruction for the Ripa Model

    Jiaojiao Li, Gang Li, Shouguo Qian, Jinmei Gao, Qiang Niu
    2021-07-01
    48037 4043 Pages:1416-1437
  • Time-Domain Numerical Solutions of Maxwell Interface Problems with Discontinuous Electromagnetic Waves

    Ya Zhang, Duc Duy Nguyen, Kewei Du, Jin Xu, Shan Zhao
    2018-05-05
    41886 4574 Pages:353-385 Open-access
  • A Direct Discontinuous Galerkin Method with Interface Correction for the Compressible Navier-Stokes Equations on Unstructured Grids

    Jian Cheng, Huiqiang Yue, Shengjiao Yu, Tiegang Liu
    2018-09-17
    47338 5285 Pages:1-21
  • A Discontinuous Galerkin Finite Element Method Without Interior Penalty Terms

    Fuzheng Gao, Xiu Ye, Shangyou Zhang
    2022-01-24
    42020 3323 Pages:299-314
  • A Combined Discontinuous Galerkin Method for Saltwater Intrusion Problem with Splitting Mixed Procedure

    Jiansong Zhang, Jiang Zhu, Danping Yang
    2018-08-04
    42128 3027 Pages:651-666
  • An Energy Stable Local Discontinuous Galerkin Method for a Binary Compressible Flow

    Hui Sun, Lulu Tian, Hui Guo
    2025-03-14
    11176 775 Pages:888-908
  • Runge-Kutta Discontinuous Galerkin Method with Front Tracking Method for Solving the Compressible Two-Medium Flow on Unstructured Meshes

    Haitian Lu, Jun Zhu, Chunwu Wang, Ning Zhao
    2018-05-05
    44461 5284 Pages:73-91
  • A Class of Weak Galerkin Finite Element Methods for the Incompressible Fluid Model

    Xiuli Wang, Qilong Zhai, Xiaoshen Wang
    2019-01-11
    45214 3360 Pages:360-380
  • Robust and Globally Divergence-Free Weak Galerkin Methods for Oseen Equations

    Lingxia Kong, Ya Min, Minfu Feng, Xiaoyu Fu
    2025-10-29
    4471 125 Pages:411-433
  • A Discontinuous Galerkin Method by Patch Reconstruction for Convection-Diffusion Problems

    Zhiyuan Sun, Jun Liu, Pei Wang
    2020-04-10
    45468 3299 Pages:729-747
  • A Partial RKDG Method for Solving the 2D Ideal MHD Equations Written in Semi-Lagrangian Formulation on Moving Meshes with Exactly Divergence-Free Magnetic Field

    Shijun Zou, Xijun Yu, Zihuan Dai, Fang Qing, Xiaolong Zhao
    2023-04-11
    38225 3299 Pages:932-963
  • A Posteriori Error Estimates of a Combined Mixed Finite Element and Discontinuous Galerkin Method for a Kind of Compressible Miscible Displacement Problems

    Jiming Yang, Zhiguang Xiong
    2013-05-01
    41828 4363 Pages:163-179
  • A Primal-Dual Discontinuous Galerkin Finite Element Method for Ill-Posed Elliptic Cauchy Problems

    Yanli Chen, Tie Zhang, Ying Sheng
    2024-05-14
    24827 2414 Pages:860-877
  • A Modified Weak Galerkin Method for Stokes Equations

    Li Zhang, Minfu Feng, Jian Zhang
    2019-06-24
    43704 3188 Pages:890-910
  • Convergence Analysis of a Weak Galerkin Finite Element Method on a Bakhvalov-Type Mesh for a Singularly Perturbed Convection-Diffusion Equation in 2D

    Shicheng Liu, Xiangyun Meng, Qilong Zhai
    2025-10-14
    4232 265 Pages:348-368
  • Analysis of an Implicit Fully Discrete Local Discontinuous Galerkin Method for the Time-Fractional Kdv Equation

    Leilei Wei, Yinnian He, Xindong Zhang
    2018-05-05
    41538 3117 Pages:510-527
  • A Discontinuous Galerkin Method with Minimal Dissipation for a Finite-Strain Plate

    Qiao Kang, Yan Xu
    2021-06-08
    45545 3204 Pages:1027-1063
  • A Study of Preconditioned Jacobian-Free Newton-Krylov Discontinuous Galerkin Method for Compressible Flows on 3D Hexahedral Grids

    Wanglong Qin, Junwei Cai, Hongqiang Lu, Peter K. Jimack, M. A. Walkley
    2018-09-17
    46432 4665 Pages:261-274 Open-access
  • Energy Conservative Local Discontinuous Galerkin Methods for the Euler-Korteweg Equations

    Xiangyi Meng, Yan Xu, J. J. W. Van der Vegt
    2025-10-14
    4535 261 Pages:134-169
  • The Discontinuous Galerkin Method by Patch Reconstruction for Helmholtz Problems

    Di Li, Min Liu, Xiliang Lu, Jerry Zhijian Yang
    2022-10-24
    44932 3896 Pages:30-48
  • A Straightforward $hp$-Adaptivity Strategy for Shock-Capturing with High-Order Discontinuous Galerkin Methods

    Hongqiang Lu, Qiang Sun
    2014-06-01
    44541 4935 Pages:135-144
  • Posteriori Error Estimation for an Interior Penalty Discontinuous Galerkin Method for Maxwell's Equations in Cold Plasma

    Jichun Li
    2018-08-10
    42956 4673 Pages:107-124
  • Optimal Error Estimates of the Semi-Discrete Local Discontinuous Galerkin Method and Exponential Time Differencing Schemes for the Thin Film Epitaxy Problem Without Slope Selection

    Danni Zhang, Ruihan Guo
    2023-02-24
    38866 3471 Pages:545-567
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