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  • Unconditional Convergence of High-Order Extrapolations of the Crank-Nicolson, Finite Element Method for the Navier-Stokes Equations

    R. Ingram
    2013-10-01
    37974 2736 pp. 257-297
  • Auto-Stabilized Weak Galerkin Finite Element Methods for Biharmonic Equations on Polytopal Meshes Without Convexity Assumptions

    Chunmei Wang
    2025-10-21
    DOI:10.4208/ijnam2026-1004
    5701 403 pp. 83-102
  • A Finite Element Method for the One-Dimensional Prescribed Curvature Problem

    Susanne C. Brenner, Li-Yeng Sung, Zhuo Wang, Yuesheng Xu
    2018-09-18
    32559 2614 pp. 646-669
  • A Hybrid Stress Finite Element Method for Integro-Differential Equations Modelling Dynamic Fractional Order Viscoelasticity

    Menghan Liu, Xiaoping Xie
    2024-04-07
    DOI:10.4208/ijnam2024-1009
    20743 1802 pp. 221-243
  • A Penalty Finite Element Method for the Stationary Closed-Loop Geothermal Model

    Haochen Liu, Pengzhan Huang, Yinnian He
    2023-05-22
    DOI:10.4208/ijnam2023-1024
    28618 2504 pp. 557-576
  • Improved Error Estimation for the Partially Penalized Immersed Finite Element Methods for Elliptic Interface Problems

    Ruchi Guo, Tao Lin, Qiao Zhuang
    2019-02-21
    34920 2902 pp. 575-589
  • Expanded Mixed Finite Element Domain Decomposition Methods on Triangular Grids

    A. Arraras sand L. Portero
    2021-10-20
    34393 2724 pp. 255-270
  • A Symmetric Finite Volume Element Scheme on Quadrilateral Grids and Superconvergence

    Shi Shu, Haiyuan Yu, Yunqing Huang, Cunyun Nie
    2006-08-01
    31276 2506 pp. 348-360
  • 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
  • Fully Computable Error Bounds for Eigenvalue Problem

    Qichen Hong, Hehu Xie, Meiling Yue, Ning Zhang
    2018-08-14
    32428 3897 pp. 260-276
  • $hp$-Version Analysis for Arbitrarily Shaped Elements on the Boundary Discontinuous Galerkin Method for Stokes Systems

    Efthymios N. Karatzas
    2024-06-24
    DOI:10.4208/ijnam2024-1021
    19030 1474 pp. 528-559
  • On Fully Discrete Finite Element Schemes for Equations of Motion of Kelvin-Voigt Fluids

    Saumya Bajpai, Neela Nataraj, Amiya K. Pani
    2013-10-01
    32445 2665 pp. 481-507
  • Discontinuous Galerkin Finite Element Method with Interior Penalties for Convection Diffusion Optimal Control Problem

    T. Sun
    2018-08-15
    31758 3752 pp. 87-107
  • Numerical Analysis of a Mixed Finite Element Approximation of a Coupled System Modeling Biofilm Growth in Porous Media with Simulations

    Azhar Alhammali, Malgorzata Peszynska, Choah Shin
    2024-01-03
    DOI:10.4208/ijnam2024-1002
    26506 2526 pp. 20-64
  • Analysis of a Second-Order Decoupled Time-Stepping Scheme for Transient Viscoelastic Flow

    S. S. Ravindran
    2021-02-04
    35471 4234 pp. 87-109
  • A Two-Grid Finite Volume Element Method for a Nonlinear Parabolic Problem

    Chuanjun Chen, Wei Liu
    2015-12-01
    34638 2756 pp. 197-210
  • 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
  • The Characteristic Finite Element Alternating-Direction Method with Moving Meshes for the Transient Behavior of a Semiconductor Device

    Y. Yuan
    2012-09-01
    33245 4016 pp. 86-104
  • Error Bounds on Semi-Discrete Finite Element Approximation of a Moving-Boundary System Arising in Concrete Corrosion

    Adrian Muntean
    2008-05-01
    31654 3451 pp. 353-372
  • 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
  • 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
  • Distributed Lagrange Multiplier-Fictitious Domain Finite Element Method for Stokes Interface Problems

    Andrew Lundberg, Pengtao Sun, Cheng Wang
    2019-08-09
    35804 2740 pp. 939-963
  • Error Analysis of a Mixed Finite Element Method for the Monge-Ampère Equation

    Gerard Awanou, Hengguang Li
    2014-11-01
    33038 2655 pp. 745-761
  • 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
    33072 2613 pp. 688-714
  • A Stabilized Nonconforming Quadrilateral Finite Element Method for the Generalized Stokes Equations

    Zhen Wang, Zhangxin Chen, Jian Li
    2012-09-01
    31470 2449 pp. 449-459
  • 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
  • Discontinuous Galerkin Approximations for Distributed Optimal Control Problems Constrained by Parabolic PDE's

    Konstantinos Chrysafinos
    2021-11-09
    30856 2418 pp. 690-712
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