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International Journal of Numerical Analysis and Modeling
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  • 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
  • On Fully Discrete Finite Element Schemes for Equations of Motion of Kelvin-Voigt Fluids

    S. Bajpai, N. Nataraj & A. Pani
    2013-10-01
    32271 2605 Pages:481-507
  • On Error Estimates of the Penalty Method for the Unsteady Conduction-Convection Problem I: Time Discretization

    H. Sun, Y. He & X. Feng
    2012-09-01
    32499 2621 Pages:876-891
  • Optimal Error Estimates of the Local Discontinuous Galerkin Method for Willmore Flow of Graphs on Cartesian Meshes

    L. Ji & Y. Xu
    2011-08-01
    31717 2558 Pages:252-283
  • An Optimal-Order Error Estimate to the Modified Method of Characteristics for a Degenerate Convection-Diffusion Equation

    K. Wang & H. Wang
    2009-06-01
    30345 2548 Pages:217-231
  • A Conforming DG Method for the Biharmonic Equation on Polytopal Meshes

    Xiu Ye, Shangyou Zhang
    2023-11-13
    21938 1962 Pages:855-869
  • On Discontinuous Finite Volume Approximations for Semilinear Parabolic Optimal Control Problems

    R. Sandilya & S. Kumar
    2016-07-03
    32347 2701 Pages:545-568
  • 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
  • Finite Element Approximation of Optimal Control for System Governed by Immiscible Displacement in Porous Media

    Y. Chang, W. Cao, D. Yang, T. Sun & W. Liu
    2014-11-01
    32907 2559 Pages:688-714
  • An Optimal-Order Error Estimate for a Finite Difference Method to Transient Degenerate Advection-Diffusion Equations

    T. Lu & J. Jia
    2012-09-01
    32736 3740 Pages:56-72
  • The Local Discontinuous Galerkin Method for Optimal Control Problem Governed by Convection Diffusion Equations

    Z. Zhou & N. Yan
    2010-07-01
    31283 2578 Pages:681-699
  • Weakly Nonlinear Analysis of the Hamilton-Jacobi-Bellman Equation Arising from Pension Savings Management

    Z. Macová, D. Ševčovič
    2010-07-01
    31340 2469 Pages:619-638
  • $hp$-Version Analysis for Arbitrarily Shaped Elements on the Boundary Discontinuous Galerkin Method for Stokes Systems

    Efthymios N. Karatzas
    2024-06-24
    18809 1406 Pages:528-559
  • A Posteriori Error Estimates for Darcy-Forchheimer’s Problem Coupled with the Convection-Diffusion-Reaction Equation

    Faouzi Triki, Toni Sayah, Georges Semaan
    2024-01-03
    26193 2255 Pages:65-103
  • 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
  • Finite Element Approximation of a Non-Local Problem in Non-Fickian Polymer Diffusion

    S. Shaw
    2011-08-01
    32137 2551 Pages:226-251
  • An Unconditionally Energy-Stable SAV-DG Numerical Scheme for Tumor Growth Model

    Penghao Guo, Bo Wang, Guang-An Zou
    2025-04-29
    6945 518 Pages:510-533
  • Weak Galerkin Finite Element Method Based on POD for Nonlinear Parabolic Equations

    Jianghong Zhang, Fuzheng Gao, Jintao Cui
    2025-02-20
    8617 593 Pages:157-177
  • A Stabilizer-Free Weak Galerkin Finite Element Method for the Darcy-Stokes Equations

    Kai He, Junjie Chen, Li Zhang, Maohua Ran
    2024-06-24
    20112 1418 Pages:459-475
  • Discontinuous Galerkin Method for Nonlinear Quasi-Static Poroelasticity Problems

    Fan Chen, Ming Cui, Chenguang Zhou
    2024-04-07
    20282 2112 Pages:201-220
  • Weak Galerkin Finite Element Methods for Parabolic Problems with $L^2$ Initial Data

    Naresh Kumar, Bhupen Deka
    2023-01-14
    28209 2492 Pages:199-228
  • Convergence Analyses of Crank-Nicolson Orthogonal Spline Collocation Methods for Linear Parabolic Problems in Two Space Variables

    M. Khebchareon, A. K. Pani & G. Fairweather
    2018-08-15
    33152 4010 Pages:58-72
  • An Interior Penalty Discontinuous Galerkin Method for a Class of Monotone Quasilinear Elliptic Problems

    Peter W. Fick
    2015-12-01
    33099 2577 Pages:750-777
  • An Optimal Uniform a Priori Error Estimate for an Unsteady Singularly Perturbed Problem

    M. Vlasak, H.-G. Roos
    2021-10-20
    33787 3822 Pages:24-33
  • Nonconforming Mixed Finite Element Methods for Stationary Incompressible Magnetohydrodynamics

    D. Shi & Z. Yu
    2013-10-01
    32777 2560 Pages:904-919
  • A Stabilized Nonconforming Quadrilateral Finite Element Method for the Generalized Stokes Equations

    Z. Wang, Z. Chen & J. Li
    2012-09-01
    31272 2404 Pages:449-459
  • Nonconforming Mixed Finite Element Method for the Stationary Conduction-Convection Problem

    D. Shi & J. Ren
    2009-06-01
    30787 2634 Pages:293-310
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