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  • Convergence Analysis of a Weak Galerkin Finite Element Method on a Bakhvalov-Type Mesh for a Singularly Perturbed Convection-Diffusion Equation in 2D

    Shicheng Liu, Xiangyun Meng, Qilong Zhai
    2026-02-01
    DOI:10.4208/aamm.OA-2024-0150
    5003 468 pp. 348-368
  • The Convergence and Superconvergence of a MFEM for Elliptic Optimal Control Problems

    Hongbo Guan, Yong Yang, Huiqing Zhu
    2020-01-17
    DOI:10.4208/aamm.OA-2019-0019
    46490 3154 pp. 527-544
  • Spectral Collocation Methods for Second-Order Volterra Integro-Differential Equations with Weakly Singular Kernels

    Xiulian Shi, Yanping Chen, Yunqing Huang, Fenglin Huang
    2020-01-17
    DOI:10.4208/aamm.OA-2019-0056
    48743 3652 pp. 480-502
  • Two-Grid Stabilized FEMs Based on Newton Type Linearization for the Steady-State Natural Convection Problem

    Yunbo Yang, Yaolin Jiang, Qiongxiang Kong
    2020-01-17
    DOI:10.4208/aamm.OA-2018-0156
    48804 3432 pp. 407-435
  • Jacobi Spectral Collocation Method Based on Lagrange Interpolation Polynomials for Solving Nonlinear Fractional Integro-Differential Equations

    Xingfa Yang, Yin Yang, Yanping Chen, Jie Liu
    2021-07-01
    DOI:10.4208/aamm.OA-2018-0038
    47437 4158 pp. 1440-1458
  • Nonconforming FEMs for the $p$-Laplace Problem

    D. J. Liu, A. Q. Li, Z. R. Chen
    2021-07-01
    DOI:10.4208/aamm.OA-2018-0117
    46124 4301 pp. 1365-1383
  • Mortar Element Method for the Coupling of Navier-Stokes and Darcy Flows

    Xin Zhao, Yanping Chen
    2018-09-17
    DOI:10.4208/aamm.OA-2017-0170
    43926 3043 pp. 710-734
  • Decoupled Scheme for Non-Stationary Viscoelastic Fluid Flow

    Md. Abdullah Al Mahbub, Shahid Hussain, Nasrin Jahan Nasu, Haibiao Zheng
    2018-09-17
    DOI:10.4208/aamm.OA-2017-0186
    45019 3173 pp. 1191-1226
  • Unconditional Stability and Fourth-Order Convergence of a Two-Step Time Split Explicit/Implicit Scheme for Two-Dimensional Nonlinear Unsteady Convection-Diffusion-Reaction Equation

    Eric Ngondiep, Ali H. Tedjani
    2024-11-01
    DOI:10.4208/aamm.OA-2023-0040
    15707 1453 pp. 1381-1409
  • Numerical Analysis of the Mixed 4th-Order Runge-Kutta Scheme of Conditional Nonlinear Optimal Perturbation Approach for the EI Niño-Southern Oscillation Model

    Xin Zhao, Jian Li, Wansuo Duan, Dongqian Xue
    2021-07-01
    DOI:10.4208/aamm.2014.m786
    44053 3868 pp. 1023-1035
  • Two-Level Defect-Correction Method for Steady Navier-Stokes Problem with Friction Boundary Conditions

    An Liu, Yuan Li, Rong An
    2021-07-01
    DOI:10.4208/aamm.2014.m595
    44805 3925 pp. 932-952
  • Uniform Convergence Analysis of a Higher Order Hybrid Stress Quadrilateral Finite Element Method for Linear Elasticity Problems

    Yanhong Bai, Yongke Wu, Xiaoping Xie
    2018-05-05
    DOI:10.4208/aamm.2014.m548
    40966 3150 pp. 399-425
  • A Two-Level Method for Pressure Projection Stabilized P1 Nonconforming Approximation of the Semi-Linear Elliptic Equations

    Sufang Zhang, Hongxia Yan, Hongen Jia
    2018-05-05
    DOI:10.4208/aamm.2014.m842
    40949 3186 pp. 386-398
  • Unconditional Superconvergence Analysis of Energy Conserving Finite Element Methods for the Nonlinear Coupled Klein-Gordon Equations

    Ming Cui, Yanfei Li, Changhui Yao
    2023-02-24
    DOI:10.4208/aamm.OA-2021-0261
    40024 3541 pp. 602-622
  • A Coercivity Result of Quadratic Finite Volume Element Schemes over Triangular Meshes

    Xueying Wen, Yanhui Zhou
    2023-04-11
    DOI:10.4208/aamm.OA-2021-0311
    38036 3260 pp. 901-931
  • Modelling and Analysis of a Class of Metal-Forming Problems

    T. A. Angelov
    2021-07-01
    DOI:10.4208/aamm.09-m0975
    39649 4079 pp. 722-745
  • Analysis and Numerical Approximation of an Electro-Elastic Frictional Contact Problem

    El-H. Essoufi, El-H. Benkhira, R. Fakhar
    2018-11-01
    DOI:10.4208/aamm.09-m0980
    40358 3757 pp. 355-378
  • A Combined Discontinuous Galerkin Method for Saltwater Intrusion Problem with Splitting Mixed Procedure

    Jiansong Zhang, Jiang Zhu, Danping Yang
    2018-08-04
    DOI:10.4208/aamm.2015.m1026
    42349 3093 pp. 651-666
  • Two-Scale Picard Stabilized Finite Volume Method for the Incompressible Flow

    Jianhong Yang, Lei Gang, Jianwei Yang
    2014-06-01
    DOI:10.4208/aamm.2013.m153
    42692 4292 pp. 663-679
  • Analysis of Two-Grid Methods for Nonlinear Parabolic Equations by Expanded Mixed Finite Element Methods

    Yanping Chen, Peng Luan, Zuliang Lu
    2021-07-01
    DOI:10.4208/aamm.09-m09S09
    41818 4294 pp. 830-844
  • A Parallel Pressure Projection Stabilized Finite Element Method for Stokes Equation with Nonlinear Slip Boundary Conditions

    Kangrui Zhou, Yueqiang Shang
    2021-07-01
    DOI:10.4208/aamm.OA-2019-0190
    47839 4236 pp. 1438-1456
  • An Upwind Mixed Finite Element Method on Changing Meshes for Positive Semi-Definite Oil-Water Displacement of Darcy-Forchheimer Flow in Porous Media

    Yirang Yuan, Huailing Song, Changfeng Li, Tongjun Sun
    2020-07-24
    DOI:10.4208/aamm.OA-2019-0256
    49744 3325 pp. 1196-1223
  • The Modified Localized Method of Approximated Particular Solutions for Linear and Nonlinear Convection-Diffusion-Reaction PDEs

    Wen Li, Kalani Rubasinghe, Guangming Yao, L. H. Kuo
    2020-07-24
    DOI:10.4208/aamm.OA-2019-0033
    44812 3356 pp. 1113-1136
  • Multi-Symplectic Method for the Zakharov-Kuznetsov Equation

    Haochen Li, Jianqiang Sun, Mengzhao Qin
    2018-03-29
    DOI:10.4208/aamm.2013.m128
    42758 4668 pp. 58-73
  • Collocation Methods for a Class of Volterra Integral Functional Equations with Multiple Proportional Delays

    Kai Zhang, Jie Li
    2012-04-01
    DOI:10.4208/aamm.10-m11147
    41282 4134 pp. 575-602
  • A Second Order Accurate in Time, Energy Stable Finite Element Scheme for the Flory-Huggins-Cahn-Hilliard Equation

    Maoqin Yuan, Wenbin Chen, Cheng Wang, Steven M. Wise, Zhengru Zhang
    2022-08-08
    DOI:10.4208/aamm.OA-2021-0331
    270396 3806 pp. 1477-1508
  • Superconvergence of Finite Element Approximations of the Two-Dimensional Cubic Nonlinear Schrödinger Equation

    Jianyun Wang, Zhikun Tian
    2022-02-25
    DOI:10.4208/aamm.OA-2020-0268
    49154 3410 pp. 652-665
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