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  • The Weak Galerkin Finite Element Method for Solving the Time-Dependent Stokes Flow

    Xiuli Wang, Yuanyuan Liu, Qilong Zhai
    2020-08-04
    35825 2685 pp. 732-745
  • An Optimal-Order Error Estimate for an $H^1$-Galerkin Mixed Method for a Pressure Equation in Compressible Porous Medium Flow

    H. Chen, Z. Zhou & H. Wang
    2012-09-01
    32957 3793 pp. 132-148
  • Petrov-Galerkin Method with Local Green's Functions in Singularly Perturbed Convection-Diffusion Problems

    Owe Axelsson, Evgeny Glushkov, Natalia Clushkova
    2005-02-01
    31143 2656 pp. 127-146
  • A New Weak Galerkin Method with Weakly Enforced Dirichlet Boundary Condition

    Dan Li, Yiqiang Li, Zhanbin Yuan
    2023-09-19
    DOI:10.4208/ijnam2023-1028
    25953 2210 pp. 647-666
  • Energy and Mass Conservative Averaging Local Discontinuous Galerkin Method for Schrödinger Equation

    Fubiao Lin, Yaxiang Li, Jun Zhang
    2021-11-05
    43367 2665 pp. 723-739
  • A Stabilizer Free Weak Galerkin Finite Element Method for General Second-Order Elliptic Problem

    Ahmed Al-Taweel, Saqib Hussain, Runchang Lin, Peng Zhu
    2021-03-25
    38761 2629 pp. 311-323
  • A Conforming Discontinuous Galerkin Finite Element Method: Part II

    Xiu Ye, Shangyou Zhang
    2020-02-03
    34199 2679 pp. 281-296
  • Weak Galerkin Finite Element Method for Second Order Parabolic Equations

    Hongqin Zhang, Yongkui Zou, Yingxiang Xu, Qilong Zhai, Hua Yue
    2016-07-03
    32562 2784 pp. 525-544
  • A High Order Unfitted Finite Element Method for Time-Harmonic Maxwell Interface Problems

    Zhiming Chen, Ke Li, Maohui Lyu, Xueshaung Xiang
    2024-10-09
    DOI:10.4208/ijnam2024-1033
    14053 1208 pp. 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
    43624 4153 pp. 1-25
  • Finite Element Approximation of a Non-Local Problem in Non-Fickian Polymer Diffusion

    S. Shaw
    2011-08-01
    32292 2596 pp. 226-251
  • Local Error Estimates of the LDG Method for 1-D Singularly Perturbed Problems

    Huiqing Zhu, Zhimin Zhang
    2013-10-01
    32347 2690 pp. 350-373
  • A Fully Discrete Ultra-Weak Discontinuous Galerkin Method for Solving the Drift-Diffusion Model of Semiconductor Devices

    Xinyu Ding, Fuzheng Gao, Yunxian Liu
    2025-12-28
    DOI:10.4208/ijnam2026-1010
    1133 146 pp. 223-251
  • A Priori Error Analysis of the Local Discontinuous Galerkin Method for the Viscous Burgers-Poisson System

    Nattapol Ploymaklam, Pratik M. Kumbhar, Amiya K. Pani
    2018-09-18
    33035 2653 pp. 784-807
  • Robust and Efficient Mixed Hybrid Discontinuous Finite Element Methods for Elliptic Interface Problems

    Jiang Zhu, H\u00e9ctor Andr\u00e9s Vargas Poblete
    2019-08-09
    33924 2641 pp. 767-788
  • Stability Analysis and Error Estimates of Local Discontinuous Galerkin Method for Convection-Diffusion Equations on Overlapping Mesh with Non-Periodic Boundary Conditions

    Nattaporn Chuenjarern, Kanognudge Wuttanachamsri, Yang Yang
    2021-11-05
    43106 2635 pp. 788-810
  • Optimal Error Estimates of the Local Discontinuous Galerkin Method for the Two-Dimensional Sine-Gordon Equation on Cartesian Grids

    Mahboub Baccouch
    2018-11-22
    33438 2797 pp. 436-462
  • Analysis of Optimal Error Estimates and Superconvergence of the Discontinuous Galerkin Method for Convection-Diffusion Problems in One Space Dimension

    Mahboub Baccouch, Helmi Temimi
    2016-05-03
    31937 2662 pp. 403-434
  • Global Convergence of a Posteriori Error Estimates for the Discontinuous Galerkin Method for One-Dimensional Linear Hyperbolic Problems

    M. Baccouch
    2021-10-20
    33498 3783 pp. 172-192
  • Numerical Analysis of the Fractional Seventh-Order KdV Equation Using an Implicit Fully Discrete Local Discontinuous Galerkin Method

    L. Wei, Y. He, Y. Zhang
    2013-10-01
    32688 2627 pp. 430-444
  • Weak Galerkin Method for the Helmholtz Equation with DtN Boundary Condition

    Qingjie Hu, Yinnian He, Kun Wang
    2020-08-04
    35286 2636 pp. 643-661
  • On Local Super-Penalization of Interior Penalty Discontinuous Galerkin Methods

    A. Cangiani, J. Chapman, E. H. Georgoulis, M. Jensen
    2014-11-01
    32783 2638 pp. 478-495
  • Numerical Investigation on Weak Galerkin Finite Elements

    Junping Wang, Xiu Ye, Shangyou Zhang
    2020-08-04
    33121 2694 pp. 517-531
  • Efficient Galerkin-Mixed FEMs for Incompressible Miscible Flow in Porous Media

    Weiwei Sun, Chengda Wu
    2020-05-20
    35323 2720 pp. 350-367
  • A Simple Finite Element Method of the Cauchy Problem for Poisson Equation

    Xiaozhe Hu, Lin Mu, Xiu Ye
    2018-09-18
    32837 2589 pp. 591-603
  • A Conforming DG Method for the Biharmonic Equation on Polytopal Meshes

    Xiu Ye, Shangyou Zhang
    2023-11-13
    DOI:10.4208/ijnam2023-1037
    22138 2031 pp. 855-869
  • Comparative Studies on Mesh-Free Deep Neural Network Approach Versus Finite Element Method for Solving Coupled Nonlinear Hyperbolic/Wave Equations

    Xingwen Zhu, Mingyan He, Pengtao Sun
    2022-08-22
    297415 2852 pp. 603-629
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