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  • A New Discontinuous Galerkin Method for Parabolic Equations with Discontinuous Coefficient

    Rongpei Zhang, Xijun Yu, Xia Cui, Xiaohan Long & Tao Feng
    2013-06-01
    39974 3768 Pages:325-342
  • An $h$-Adaptive Runge-Kutta Discontinuous Galerkin Method for Hamilton-Jacobi Equations

    Hongqiang Zhu & Jianxian Qiu
    2013-06-01
    39905 3928 Pages:617-636
  • L1/Local Discontinuous Galerkin Method for the Time-Fractional Stokes Equation

    Changpin Li, Zhen Wang
    2023-01-21
    37742 2939 Pages:1099-1127
  • High-Order Leap-Frog Based Discontinuous Galerkin Method for the Time-Domain Maxwell Equations on Non-Conforming Simplicial Meshes

    Hassan Fahs
    2009-02-01
    40727 3564 Pages:275-300
  • Nodal Discontinuous Galerkin Method for Time-Domain Lorentz Model Equations in Meta-Materials

    Shanghui Jia, Changhui Yao & Shuai Su
    2018-09-17
    42921 4792 Pages:30-48
  • The Direct Discontinuous Galerkin Method with Explicit-Implicit-Null Time Discretizations for Nonlinear Diffusion Equations

    Yumiao Li, Yin Yang, Tiegang Liu, Weixiong Yuan, Kui Cao
    2025-04-06
    6857 543 Pages:175-198
  • Multidomain Legendre-Galerkin Least-Squares Method for Linear Differential Equations with Variable Coefficients

    Yonghui Qin, Yanping Chen, Yunqing Huang, Heping Ma
    2020-03-16
    43860 2854 Pages:665-688
  • Adaptive Hybridized Interior Penalty Discontinuous Galerkin Methods for H(curl)-Elliptic Problems

    C. Carstensen, R. H. W. Hoppe, N. Sharma & T. Warburton
    2011-04-01
    41773 3968 Pages:13-37
  • Finite Element and Discontinuous Galerkin Methods with Perfect Matched Layers for American Options

    Haiming Song, Kai Zhang & Yutian Li
    2017-11-02
    39394 2682 Pages:829-851
  • Convergence of Weak Galerkin Finite Element Method for Second Order Linear Wave Equation in Heterogeneous Media

    Bhupen Deka, Papri Roy, Naresh Kumar, Raman Kumar
    2023-04-10
    38062 2789 Pages:323-347
  • A Two-Step Method Based on Plane Wave for Nonhomogeneous Helmholtz Equations in Inhomogeneous Media

    Qiya Hu & Lin Zhao
    2018-09-17
    40884 2743 Pages:453-476
  • Convergence and Quasi-Optimality of an Adaptive Multi-Penalty Discontinuous Galerkin Method

    Zhenhua Zhou & Haijun Wu
    2016-09-01
    38921 4198 Pages:51-86
  • Development and Comparison of Numerical Fluxes for LWDG Methods

    Jianxian Qiu
    2008-01-01
    38316 3623 Pages:435-459
  • A Divergence-Free $P_k$ CDG Finite Element for the Stokes Equations on Triangular and Tetrahedral Meshes

    Xiu Ye, Shangyou Zhang
    2025-04-06
    6786 572 Pages:157-174
  • Numerical Approximation to a Stochastic Parabolic PDE with Weak Galerkin Method

    Hongze Zhu, Yongkui Zou, Shimin Chai & Chenguang Zhou
    2018-09-17
    41628 2711 Pages:604-617
  • Positivity-Preserving Runge-Kutta Discontinuous Galerkin Method on Adaptive Cartesian Grid for Strong Moving Shock

    Jianming Liu, Jianxian Qiu, Mikhail Goman, Xinkai Li & Meilin Liu
    2016-09-01
    38897 4108 Pages:87-110
  • A Staggered Discontinuous Galerkin Method with Local TV Regularization for the Burgers Equation

    Hiu Ning Chan & Eric T. Chung
    2015-08-01
    39053 2718 Pages:451-474
  • The Plane Wave Discontinuous Galerkin Method Combined with Local Spectral Finite Elements for the Wave Propagation in Anisotropic Media

    Long Yuan
    2018-12-17
    41402 2745 Pages:517-546
  • Accuracy Enhancement of Discontinuous Galerkin Method for Hyperbolic Systems

    Tie Zhang & Jingna Liu
    2014-07-01
    38959 3470 Pages:214-233
  • Domain Decomposition Preconditioners for Discontinuous Galerkin Discretizations of Compressible Fluid Flows

    Stefano Giani & Paul Houston
    2014-07-01
    39259 3581 Pages:123-148
  • A Lagrangian Discontinuous Galerkin Scheme for the Compressible Euler Equations on Unstructured Triangular Meshes

    Xiaolong Zhao, Xijun Yu, Shicang Song, Shijun Zou, Fang Qing
    2024-12-11
    11509 1140 Pages:1074-1099
  • Runge-Kutta Discontinuous Local Evolution Galerkin Methods for the Shallow Water Equations on the Cubed-Sphere Grid

    Yangyu Kuang, Kailiang Wu & Huazhong Tang
    2020-11-03
    39159 2558 Pages:373-419
  • On Discontinuous and Continuous Approximations to Second-Kind Volterra Integral Equations

    Hui Liang
    2022-02-09
    44892 3606 Pages:91-124
  • The Discontinuous Galerkin Method by Divergence-Free Patch Reconstruction for Stokes Eigenvalue Problems

    Di Li, Zhiyuan Sun, Fengru Wang, Jerry Zhijian Yang
    2022-03-23
    45259 2846 Pages:484-509
  • A Study on CFL Conditions for the DG Solution of Conservation Laws on Adaptive Moving Meshes

    Min Zhang, Weizhang Huang, Jianxian Qiu
    2023-01-13
    34844 3125 Pages:111-139
  • High-Order Accurate Runge-Kutta (Local) Discontinuous Galerkin Methods for One- and Two-Dimensional Fractional Diffusion Equations

    Xia Ji & Huazhong Tang
    2012-05-01
    41602 3617 Pages:333-358
  • A Weak Galerkin Finite Element Method for Elliptic Interface Problems with Polynomial Reduction

    Bhupen Deka
    2018-09-17
    40218 2691 Pages:655-672
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