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  • 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
  • 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
  • A New Error Analysis of Nonconforming $EQ^{rot}_1$ FEM for Nonlinear BBM Equation

    Yanhua Shi, Yanmin Zhao, Fenling Wang, Dongyang Shi
    2018-09-17
    DOI:10.4208/aamm.OA-2017-0264
    44887 3251 pp. 1227-1246
  • 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
  • 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
  • A Viscosity-Splitting Method for the Navier-Stokes/ Darcy Problem

    Yunxia Wang, Xuefeng Han, Zhiyong Si
    2020-03-06
    DOI:10.4208/aamm.OA-2019-0084
    48819 5111 pp. 251-277
  • A Weak Galerkin Method with $C^0$ Element for Fourth Order Linear Parabolic Equation

    Shimin Chai, Yongkui Zou, Wenju Zhao
    2019-01-11
    DOI:10.4208/aamm.OA-2018-0028
    44672 3117 pp. 467-485
  • Partitioned Time Stepping Method for Fully Evolutionary Navier-Stokes/Darcy Flow with BJS Interface Conditions

    Hongen Jia, Yusha Zhang, Jiaping Yu
    2019-01-11
    DOI:10.4208/aamm.OA-2018-0102
    44789 3250 pp. 381-405
  • A Family of Nonconforming Rectangular Elements for Strain Gradient Elasticity

    Yulei Liao, Pingbing Ming
    2021-07-01
    DOI:10.4208/aamm.OA-2018-0268
    50016 4386 pp. 1263-1286
  • A Quadratic Finite Volume Method for Parabolic Problems

    Yuanyuan Zhang, Xiaoping Liu
    2023-10-11
    DOI:10.4208/aamm.OA-2021-0313
    30657 2767 pp. 1407-1427
  • Robust Semi-Discrete and Fully Discrete Hybrid Stress Finite Element Methods for Elastodynamic Problems

    Xiaojing Xu, Xiaoping Xie
    2018-05-05
    DOI:10.4208/aamm.2015.m1326
    42116 3083 pp. 324-348
  • The Oseen Type Finite Element Iterative Method for the Stationary Incompressible Magnetohydrodynamics

    Xiaojing Dong, Yinnian He
    2018-05-05
    DOI:10.4208/aamm.2015.m934
    42382 3067 pp. 775-794
  • A New Finite Volume Element Formulation for the Non-Stationary Navier-Stokes Equations

    Zhendong Luo
    2014-06-01
    DOI:10.4208/aamm.2013.m83
    42994 4483 pp. 615-636
  • A Stabilized Finite Element Method for Non-Stationary Conduction-Convection Problems

    Ke Zhao, Yinnian He, Tong Zhang
    2018-08-10
    DOI:10.4208/aamm.10-m1042
    41643 4397 pp. 239-258
  • Semi-Discrete and Fully Discrete Mixed Finite Element Methods for Maxwell Viscoelastic Model of Wave Propagation

    Hao Yuan, Xiaoping Xie
    2022-01-24
    DOI:10.4208/aamm.OA-2021-0014
    42162 3417 pp. 344-364
  • Numerical Analysis of Two-Grid Block-Centered Finite Difference Method for Two-Phase Flow in Porous Medium

    Jing Zhang, Hongxing Rui
    2022-08-08
    DOI:10.4208/aamm.OA-2021-0187
    274103 3866 pp. 1433-1455
  • 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
  • Convergence Analysis and Error Estimate for Distributed Optimal Control Problems Governed by Stokes Equations with Velocity-Constraint

    Liang Ge, Haifeng Niu, Jianwei Zhou
    2021-11-18
    DOI:10.4208/aamm.OA-2020-0302
    50103 4521 pp. 33-55
  • Error Analysis of Two-Level Finite Element Method for the Nonlinear Conductivity Problem in Maxwell's System

    Peizhen Wang, Dandan Zhang, Wei Yang
    2021-04-13
    DOI:10.4208/aamm.OA-2020-0049
    45098 3324 pp. 791-805
  • A Priori Error Analysis of an Euler Implicit, Finite Element Approximation of the Unsteady Darcy Problem in an Axisymmetric Domain

    Ajmia Younes Orfi, Driss Yakoubi
    2018-09-17
    DOI:10.4208/aamm.OA-2016-0055
    45000 3213 pp. 301-321
  • Local Discontinuous Galerkin Methods with Decoupled Implicit-Explicit Time Marching for the Growth-Mediated Autochemotactic Pattern Formation Model

    Hui Wang, Hui Guo, Jiansong Zhang, Lulu Tian
    2023-12-21
    DOI:10.4208/aamm.OA-2022-0217
    26815 2435 pp. 208-236
  • A Nitsche-Based Element-Free Galerkin Method for Semilinear Elliptic Problems

    Tao Zhang, Xiaolin Li
    2023-12-21
    DOI:10.4208/aamm.OA-2022-0019
    27099 2698 pp. 24-46
  • A Numerical Framework to Simplify CAD Models for Reliable Estimates of Physical Quantities

    Ming Li, Jingzhi Li, Ralph Martin, Kai Zhang
    2019-06-24
    DOI:10.4208/aamm.OA-2018-0204
    44372 3186 pp. 870-889
  • 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
  • A New Higher Order Fractional-Step Method for the Incompressible Navier-Stokes Equations

    Rong An, Can Zhou, Jian Su
    2020-01-17
    DOI:10.4208/aamm.OA-2018-0258
    47429 3305 pp. 362-385
  • 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
  • New Residual Based Stabilization Method for the Elasticity Problem

    Minghao Li, Dongyang Shi, Ying Dai
    2018-09-17
    DOI:10.4208/aamm.2016.m1464
    45820 5158 pp. 100-113
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