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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
    35639 2623 Pages: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
    32786 3697 Pages:132-148
  • Petrov-Galerkin Method with Local Green's Functions in Singularly Perturbed Convection-Diffusion Problems

    O. Axelsson, E. Glushkov & N. Glushkova
    2005-02-01
    30998 2609 Pages:127-146
  • A New Weak Galerkin Method with Weakly Enforced Dirichlet Boundary Condition

    Dan Li, Yiqiang Li, Zhanbin Yuan
    2023-09-19
    25760 2132 Pages:647-666
  • Energy and Mass Conservative Averaging Local Discontinuous Galerkin Method for Schrödinger Equation

    Fubiao Lin, Yaxiang Li, Jun Zhang
    2021-11-05
    43177 2614 Pages: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
    38574 2572 Pages:311-323
  • A Conforming Discontinuous Galerkin Finite Element Method: Part II

    Xiu Ye, Shangyou Zhang
    2020-02-03
    34033 2629 Pages:281-296
  • Weak Galerkin Finite Element Method for Second Order Parabolic Equations

    H.-Q. Zhang, Y.-K. Zou, Y.-X. Xu, Q.-L. Zhai & H. Yue
    2016-07-03
    32376 2720 Pages: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
    13829 1092 Pages: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
    43437 4012 Pages:1-25
  • Finite Element Approximation of a Non-Local Problem in Non-Fickian Polymer Diffusion

    S. Shaw
    2011-08-01
    32137 2551 Pages:226-251
  • Local Error Estimates of the LDG Method for 1-D Singularly Perturbed Problems

    H. Zhu & Z. Zhang
    2013-10-01
    32175 2646 Pages:350-373
  • 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
    32868 2610 Pages: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
    33759 2587 Pages: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
    42896 2580 Pages: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
    33245 2749 Pages:436-462
  • Analysis of Optimal Error Estimates and Superconvergence of the Discontinuous Galerkin Method for Convection-Diffusion Problems in One Space Dimension

    M. Baccouch & H. Temimi
    2016-05-03
    31777 2624 Pages: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
    33331 3689 Pages: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
    32531 2573 Pages:430-444
  • Weak Galerkin Method for the Helmholtz Equation with DtN Boundary Condition

    Qingjie Hu, Yinnian He, Kun Wang
    2020-08-04
    35077 2575 Pages:643-661
  • On Local Super-Penalization of Interior Penalty Discontinuous Galerkin Methods

    A. Cangiani, J. Chapman, E. H. Georgoulis, M. Jensen
    2014-11-01
    32633 2593 Pages:478-495
  • Numerical Investigation on Weak Galerkin Finite Elements

    Junping Wang, Xiu Ye, Shangyou Zhang
    2020-08-04
    32923 2623 Pages:517-531
  • Efficient Galerkin-Mixed FEMs for Incompressible Miscible Flow in Porous Media

    Weiwei Sun, Chengda Wu
    2020-05-20
    35141 2661 Pages:350-367
  • A Simple Finite Element Method of the Cauchy Problem for Poisson Equation

    Xiaozhe Hu, Lin Mu & Xiu Ye
    2018-09-18
    32675 2524 Pages:591-603
  • A Conforming DG Method for the Biharmonic Equation on Polytopal Meshes

    Xiu Ye, Shangyou Zhang
    2023-11-13
    21938 1962 Pages: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
    297227 2787 Pages:603-629
  • Pure Lagrangian and Semi-Lagrangian Finite Element Methods for the Numerical Solution of Convection-Diffusion Problems

    M. Benitez & A. Bermudez
    2021-10-20
    34586 2635 Pages:271-287
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