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  • Pure Lagrangian and Semi-Lagrangian Finite Element Methods for the Numerical Solution of Convection-Diffusion Problems

    Marta Benitez, Alfredo Bermudez
    2021-10-20
    34752 2674 Pages:271-287
  • A New Finite Volume Method for the Stokes Problems

    Junping Wang, Yanqiu Wang, Xiu Ye
    2010-07-01
    31456 2643 Pages:281-302
  • Uniform Convergence of a Coupled Method for Convection-Diffusion Problems in 2-D Shishkin Mesh

    Ziqing Xie, Peng Zhu, Shuzi Zhou
    2013-10-01
    32853 2587 Pages:845-859
  • Discontinuous Galerkin Method for Monotone Nonlinear Elliptic Problems

    Chunjia Bi, Yanping Lin
    2012-09-01
    32883 2629 Pages:999-1024
  • Some Multiscale Results Using Limited Global Information for Two-Phase Flow Simulations

    L. Jiang, J. E. Aarnes, Y. Efendiev
    2012-09-01
    34109 3960 Pages:115-131
  • Deep Neural Network for Solving Differential Equations Motivated by Legendre-Galerkin Approximation

    Bryce Chudomelka, Youngjoon Hong, John Morgan, Hyunwoo Kim, Jinyoung Park
    2024-10-08
    13066 1084 Pages:652-673
  • A Posteriori Error Estimates for a Local Discontinuous Galerkin Approximation of Semilinear Second-Order Elliptic Problems on Cartesian Grids

    Mahboub Baccouch
    2023-11-13
    22479 2045 Pages:772-804
  • Asymptotically Exact a Posteriori Error Estimates for the Local Discontinuous Galerkin Method for Nonlinear KdV Equations in One Space Dimension

    Mahboub Baccouch
    2020-10-27
    36808 2708 Pages:767-793
  • Local Analysis of the Local Discontinuous Galerkin Method with the Generalized Alternating Numerical Flux for Two-Dimensional Singularly Perturbed Problem

    Yao Cheng, Qiang Zhang, Haijin Wang
    2018-08-15
    32564 2656 Pages:785-810
  • The $h$-$p$ Version of the Continuous Petrov-Galerkin Method for Nonlinear Volterra Functional Integro-Differential Equations with Vanishing Delays

    Lijun Yi, Benqi Guo
    2018-08-14
    34123 3879 Pages:26-47
  • An Optimal a Posteriori Error Estimates of the Local Discontinuous Galerkin Method for the Second-Order Wave Equation in One Space Dimension

    Mahboub Baccouch
    2017-06-01
    32583 2757 Pages:355-380
  • Asymptotically Exact Local Discontinuous Galerkin Error Estimates for the Linearized Korteweg-de Vries Equation in One Space Dimension

    Mahboub Baccouch
    2015-12-01
    33621 4026 Pages:162-195
  • Analysis of the Discontinuous Galerkin Interior Penalty Method with Solenoidal Approximations for the Stokes Equations

    Adeline Montlaur, Sonia Fernandez-Mendez
    2014-11-01
    32449 2700 Pages:715-725
  • Energy Norm Error Estimates for Averaged Discontinuous Galerkin Methods in 1 Dimension

    Gabor Cseorgo, Ferenc Izsak
    2014-11-01
    32474 2572 Pages:567-586
  • A Uniformly Optimal-Order Estimate for Bilinear Finite Element Method for Transient Advection-Diffusion Equations

    Qun Lin, Kaixin Wang, Hong Wang, Xiabo Yin
    2012-09-01
    33510 3847 Pages:73-85
  • Optimal Error Estimates of the Local Discontinuous Galerkin Method for Willmore Flow of Graphs on Cartesian Meshes

    Liangyue Ji, Yan Xu
    2011-08-01
    31875 2610 Pages:252-283
  • The Local Discontinuous Galerkin Method for Optimal Control Problem Governed by Convection Diffusion Equations

    Zhaojie Zhou, Ningning Yan
    2010-07-01
    31422 2628 Pages:681-699
  • Discontinuous Galerkin Finite Element Method with Interior Penalties for Convection Diffusion Optimal Control Problem

    T. Sun
    2018-08-15
    31753 3741 Pages:87-107
  • $hp$-Version Interior Penalty Discontinuous Galerkin Finite Element Methods on Anisotropic Meshes

    Emmanuil H. Georgoulis
    2006-03-01
    31203 3889 Pages:52-79
  • Symmetric Interior Penalty DG Methods for the Compressible Navier-Stokes Equations I: Method Formulation

    Ralf Hartmann, Paul Houston
    2006-03-01
    30952 4196 Pages:1-20
  • Conservative Local Discontinuous Galerkin Methods for Time Dependent Schrödinger Equation

    Tiao Lu, Wei Cai, Pingwen Zhang
    2005-04-03
    32371 3747 Pages:75-84
  • Two-Grid $hp$-Version Discontinuous Galerkin Finite Element Methods for Quasi-Newtonian Fluid Flows

    S. Congreve & P. Houston
    2014-11-01
    33105 2624 Pages:496-524
  • Interior-Exterior Penalty Approach for Solving Elasto-Hydrodynamic Lubrication Problem: Part I

    Peeyush Singh, Prawal Sinha
    2020-08-04
    35042 2587 Pages:695-731
  • Uniform $L^p$-Bound of the Allen-Cahn Equation and Its Numerical Discretization

    Jiang Yang, Qiang Du, Wei Zhang
    2018-08-14
    33562 3848 Pages:213-227 Open-access
  • Analysis of a Galerkin Finite Element Method Applied to a Singularly Perturbed Reaction-Diffusion Problem in Three Dimensions

    Stephen Russell, Niall Madden
    2020-05-20
    35116 2733 Pages:297-315
  • An Optimal EDG Method for Distributed Control of Convection Diffusion PDEs

    Xiao Zhang, Yangwen Zhang, John R. Singler
    2019-02-21
    34255 2673 Pages:519-542
  • On a Priori Error Analysis of Discontinuous Galerkin Method for the Vlasov-Nonstationary Stokes System

    Krishan Kumar, Harsha Hutridurga, Amiya K. Pani
    2025-12-28
    1125 138 Pages:275-303
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