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International Journal of Numerical Analysis and Modeling
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  • A Priori Error Estimates for Semi-Discrete Discontinuous Galerkin Methods Solving Nonlinear Hamilton-Jacobi Equations with Smooth Solutions

    Tao Xiong, Chi-Wang Shu & Mengping Zhang
    2018-08-15
    34870 3950 Pages:154-177
  • A Posteriori Error Estimates for Mixed Finite Element Galerkin Approximations to Second Order Linear Hyperbolic Equations

    Samir Karaa & Amiya K. Pani
    2018-09-18
    32057 2552 Pages:571-590
  • A Priori Error Estimates for Semidiscrete Finite Element Approximations to Equations of Motion Arising in Oldroyd Fluids of Order One

    D. Goswami, A. K. Pani
    2011-08-01
    32182 2616 Pages:324-352
  • Backward Euler Schemes for the Kelvin-Voigt Viscoelastic Fluid Flow Model

    A. K. Pany, S. K. Paikray, S. Padhy & A. K. Pani
    2016-01-08
    32936 4145 Pages:126-151
  • Error Estimates for Semi-Discrete Finite Element Approximations for a Moving Boundary Problem Capturing the Penetration of Diffusants into Rubber

    Surendra Nepal, Yosief Wondmagegne, Adrian Muntean
    2022-03-22
    29882 3065 Pages:101-125
  • A Priori Error Estimates for Finite Volume Element Approximations to Second Order Linear Hyperbolic Integro-Differential Equations

    Samir Karaa & Amiya K. Pani
    2015-12-01
    32421 2674 Pages:401-429
  • Error Estimates for an Optimal Control Problem Governed by the Heat Equation with State and Control Constraints

    G. Wang & X. Yu
    2018-08-15
    31336 3618 Pages:30-65
  • A Priori Error Estimates of a Signorini Contact Problem for Electro-Elastic Materials

    S. Bourichi, El-H. Essoufi & R. Fakhar
    2016-07-03
    32247 2703 Pages:627-647
  • A Priori and a Posteriori Error Estimates for Boussinesq Equations

    Karam Allali
    2005-02-01
    30680 2521 Pages:179-196
  • Finite Volume Element Method for Second Order Hyperbolic Equations

    S. Kumar, N. Nataraj & A. K. Pani
    2008-05-01
    32514 3834 Pages:132-151
  • Error Estimates and Superconvergence of Mixed Finite Element for Quadratic Optimal Control

    Y. Chen & W. Liu
    2006-08-01
    29979 2516 Pages:311-321
  • Discontinuous Galerkin Finite Element Method with Interior Penalties for Convection Diffusion Optimal Control Problem

    T. Sun
    2018-08-15
    31581 3608 Pages:87-107
  • 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
  • Finite Element Approximation of a Non-Local Problem in Non-Fickian Polymer Diffusion

    S. Shaw
    2011-08-01
    32137 2551 Pages:226-251
  • 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
  • An a Priori Error Analysis of a Problem Involving Mixtures of Continua with Gradient Enrichment

    Noelia Bazarra, José R. Fernández, Antonio Magaña, Marc Magaña, Ramόn Quintanilla
    2024-04-07
    20501 1700 Pages:165-180
  • 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
  • A Uniformly Optimal-Order Estimate for Bilinear Finite Element Method for Transient Advection-Diffusion Equations

    Q. Lin, K. Wang, H. Wang & X. Yin
    2012-09-01
    33342 3759 Pages:73-85
  • Finite Element Method and Its Error Estimates for the Time Optimal Controls of Heat Equation

    W. Gong & N.-N. Yan
    2016-03-10
    32062 2608 Pages:265-279
  • 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
  • Orthogonal Spline Collocation for Singularly Perturbed Reaction Diffusion Problems in One Dimension

    Pankaj Mishra, Kapil K. Sharma, Amiya K. Pani, Graeme Fairweather
    2019-02-21
    35209 2726 Pages:647-667
  • $hp$-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
  • Hybridizable Discontinuous Galerkin Method for Linear Hyperbolic Integro-Differential Equations

    Riya Jain, Sangita Yadav
    2025-02-20
    8649 566 Pages:202-225
  • Error Bounds on Semi-Discrete Finite Element Approximation of a Moving-Boundary System Arising in Concrete Corrosion

    Adrian Muntean
    2008-05-01
    31496 3393 Pages:353-372
  • Schemes and Estimates for the Long-Time Numerical Solution of Maxwell's Equations for Lorentz Metamaterials

    Jichun Li & Simon Shaw
    2015-12-01
    33921 2674 Pages:343-365
  • 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
  • A Residual a Posteriori Error Estimator for Elasto-Viscoplasticity

    J. R. Fernández, P. Hild
    2009-06-01
    30089 2495 Pages:603-614
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