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Advances in Applied Mathematics and Mechanics
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  • A High-Order Discontinuous Galerkin Method for the Two-Dimensional Time-Domain Maxwell's Equations on Curved Mesh

    Hongqiang Lu, Yida Xu, Yukun Gao, Wanglong Qin, Qiang Sun
    2018-05-05
    44347 4626 Pages:104-116
  • Troubled-Cell Indicators Using K-Means Clustering for RKDG Methods on Triangular Meshes and $h$-Adaptive Rectangular Meshes

    Haiyun Wang, Zhen Gao, Haijin Wang, Qiang Zhang, Hongqiang Zhu
    2025-03-14
    11037 665 Pages:1014-1036
  • Three Indication Variables and Their Performance for the Troubled-Cell Indicator Using K-Means Clustering

    Zhihuan Wang, Zhen Gao, Haiyun Wang, Qiang Zhang, Hongqiang Zhu
    2022-12-13
    38460 2944 Pages:522-544
  • A Generalization of a Troubled-Cell Indicator to $h$-Adaptive Meshes for Discontinuous Galerkin Methods

    Hongqiang Zhu, Wenxiu Han, Haijin Wang
    2020-07-24
    49335 3287 Pages:1224-1246
  • 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
  • High-Order Mesh Generation for Discontinuous Galerkin Methods Based on Elastic Deformation

    Hongqiang Lu, Kai Cao, Lechao Bian, Yizhao Wu
    2018-05-05
    41710 2926 Pages:693-702
  • 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
  • A Comparison of the Performance of Limiters for Runge-Kutta Discontinuous Galerkin Methods

    Hongqiang Zhu, Yue Cheng, Jianxian Qiu
    2013-05-01
    46563 4838 Pages:365-390
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