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  • Nonconforming Mixed FEM Analysis for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation with Time-Space Coupled Derivative

    Fangfang Cao, Yanmin Zhao, Fenling Wang, Yanhua Shi, Changhui Yao
    2022-12-13
    DOI:10.4208/aamm.OA-2021-0263
    40942 3320 pp. 322-358
  • 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
  • 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
  • Optimal Error Estimate of the Penalty FEM for the Stationary Conduction-Convection Problems

    Yanfang Lei, Hongtao Wang, Zhiyong Si
    2018-09-17
    DOI:10.4208/aamm.OA-2017-0103
    43239 2970 pp. 767-784
  • Convergence Analysis of a BDF Finite Element Method for the Resistive Magnetohydrodynamic Equations

    Lina Ma, Cheng Wang, Zeyu Xia
    2024-12-31
    DOI:10.4208/aamm.OA-2023-0118
    13391 1255 pp. 633-662
  • Optimal Error Analysis of Euler and BDF2 Semi-Renormalized FEMs for the Landau-Lifshitz-Slonczewski Equation

    Yundan Zhao, Rong An
    2025-05-12
    DOI:10.4208/aamm.OA-2023-0119
    8967 575 pp. 1063-1087
  • 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
  • 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
  • An Algebraic Multigrid Method for Nearly Incompressible Elasticity Problems in Two-Dimensions

    Yingxiong Xiao, Shi Shu, Hongmei Zhang, Yuan Ouyang
    2018-08-10
    43758 5052 pp. 69-88
  • Asymptotic Expansions and Extrapolations of $H^1$-Galerkin Mixed Finite Element Method for Strongly Damped Wave Equation

    Dongyang Shi, Qili Tang, Xin Liao
    2018-05-05
    DOI:10.4208/aamm.2013.m90
    42248 3082 pp. 610-624
  • A Modified Characteristics Finite Element Method for the Electroneutral Micro-Fluids

    Zhiyong Si, Piaopiao Dong, Yunxia Wang
    2022-01-24
    DOI:10.4208/aamm.OA-2020-0327
    41335 3387 pp. 386-414
  • Two-Grid Crank-Nicolson Finite Volume Element Method for the Time-Dependent Schrödinger Equation

    Chuanjun Chen, Yuzhi Lou, Tong Zhang
    2022-08-08
    DOI:10.4208/aamm.OA-2021-0233
    284986 3980 pp. 1357-1380
  • A Posteriori Error Estimates of a Combined Mixed Finite Element and Discontinuous Galerkin Method for a Kind of Compressible Miscible Displacement Problems

    Jiming Yang, Zhiguang Xiong
    2013-05-01
    DOI:10.4208/aamm.11-m1140
    42034 4484 pp. 163-179
  • Finite Element Analysis of Maxwell's Equations in Dispersive Lossy Bi-Isotropic Media

    Yunqing Huang, Jichun Li, Yanping Lin
    2021-01-13
    DOI:10.4208/aamm.13-13S06
    43118 4770 pp. 494-509 Open Access
  • Superconvergence Analysis of Bilinear Finite Element for the Nonlinear Schrödinger Equation on the Rectangular Mesh

    Zhikun Tian, Yanping Chen, Jianyun Wang
    2018-09-17
    DOI:10.4208/aamm.OA-2017-0156
    45152 3163 pp. 468-484
  • Numerical Analysis of Stabilized Second Order Semi-Implicit Finite Element Methods for the Phase-Field Equations

    Congying Li, Liang Tang, Jie Zhou
    2024-02-29
    DOI:10.4208/aamm.OA-2023-0046
    27802 2821 pp. 667-691
  • Nonconforming Finite Element Methods for Two-Dimensional Linearly Elastic Shallow Shell Model

    Rongfang Wu, Xiaoqin Shen, Dongyang Shi, Jiaping Yu
    2024-01-04
    DOI:10.4208/aamm.OA-2022-0237
    27234 2395 pp. 493-518
  • 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
  • An Efficient Second-Order Finite Volume ADI Method for Nonlinear Three-Dimensional Space-Fractional Reaction-Diffusion Equations

    Bingyin Zhang, Hongfei Fu, Xueting Liang, Jun Liu, Jiansong Zhang
    2022-08-08
    DOI:10.4208/aamm.OA-2021-0153
    275934 3794 pp. 1400-1432
  • An Absolutely Stabilized Virtual Element Method for the Incompressible Stokes Equations

    Xi Zhang, Minfu Feng
    2025-09-29
    DOI:10.4208/aamm.OA-2023-0281
    7259 415 pp. 1625-1653
  • High-Order Three-Scale Computational Method for Thermoelastic Behavior Analysis of Axisymmetric Composite Structures with Multiple Spatial Scales

    Hao Dong, Junzhi Cui, Yufeng Nie, Zihao Yang, Zhiqiang Yang
    2020-01-17
    DOI:10.4208/aamm.OA-2019-0071
    47056 3224 pp. 599-642
  • Modified Two-Grid Algorithm for Nonlinear Power-Law Conductivity in Maxwell's Problems with High Accuracy

    Changhui Yao, Yanfei Li
    2020-12-18
    DOI:10.4208/aamm.OA-2019-0371
    43564 3212 pp. 481-502
  • 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
  • Penalty Finite Element Method for the 2D/3D Unsteady Incompressible Thermomicropolar Fluid Equations

    Junru Guo, Demin Liu
    2025-07-19
    DOI:10.4208/aamm.OA-2023-0238
    8143 582 pp. 1509-1549
  • 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
  • Fracture Analysis in Orthotropic Thermoelasticity Using Extended Finite Element Method

    Honggang Jia, Yufeng Nie, Junlin Li
    2021-07-01
    DOI:10.4208/aamm.2014.m627
    42854 4132 pp. 780-795
  • An Efficient and Unconditionally Convergent Galerkin Finite Element Method for the Nonlinear Schrödinger Equation in High Dimensions

    Yue Cheng, Tingchun Wang, Boling Guo
    2021-04-13
    DOI:10.4208/aamm.OA-2020-0033
    63078 4106 pp. 735-760
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