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  • 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
  • An Adaptive Finite Element Solver for Demagnetization Field Calculation

    Lei Yang, Guanghui Hu
    2019-06-24
    DOI:10.4208/aamm.OA-2018-0236
    48880 3322 pp. 1048-1063
  • An Explicit Superconvergent Weak Galerkin Finite Element Method for the Heat Equation

    Fuzheng Gao, Shangyou Zhang
    2024-12-31
    DOI:10.4208/aamm.OA-2023-0290
    13222 1219 pp. 538-553
  • Finite Difference/Element Method for a Two-Dimensional Modified Fractional Diffusion Equation

    Na Zhang, Weihua Deng, Yujiang Wu
    2012-04-01
    DOI:10.4208/aamm.10-m1210
    42650 4733 pp. 496-518
  • 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
  • A Comparative Study of Finite Element and Finite Difference Methods for Two-Dimensional Space-Fractional Advection-Dispersion Equation

    Guofei Pang, Wen Chen, Kam Yim Sze
    2018-05-05
    DOI:10.4208/aamm.2014.m693
    43895 4731 pp. 166-186
  • Two-Level Stabilized Finite Volume Methods for the Stationary Navier-Stokes Equations

    Tong Zhang, Shunwei Xu
    2018-08-10
    DOI:10.4208/aamm.11-m11178
    43764 4914 pp. 19-35
  • FEA Versus IGA in a Two-Node Beam Element Based on Unified and Integrated Method

    Andi Makarim Katili, Irwan Katili
    2021-07-01
    DOI:10.4208/aamm.OA-2018-0255
    47187 4367 pp. 1565-1586
  • Numerical Simulation of Phase-Field Round and Square Crystal Models on Curved Dynamic Substrates via the Evolving Surface Finite Element Method

    Xufeng Xiao, Lulu Liu, Xiao Yu, Xinlong Feng
    2025-11-19
    DOI:10.4208/aamm.OA-2025-0017
    1661 152 pp. 1389-1420
  • The Weak Galerkin Finite Element Method for Solving the Time-Dependent Integro-Differential Equations

    Xiuli Wang, Qilong Zhai, Ran Zhang, Shangyou Zhang
    2020-03-06
    DOI:10.4208/aamm.OA-2019-0088
    49455 5390 pp. 164-188
  • Mixed Finite Element Methods for Elastodynamics Problems in the Symmetric Formulation

    Yan Yang, Shiquan Zhang
    2018-09-17
    DOI:10.4208/aamm.OA-2017-0280
    44031 3157 pp. 1279-1304
  • Convergence and Quasi-Optimality of an Adaptive Continuous Interior Penalty Finite Element Method

    Lingxue Zhu, Zhenhua Zhou
    2019-01-11
    DOI:10.4208/aamm.OA-2018-0160
    43571 3241 pp. 428-451
  • Unified a Priori Error Estimate and a Posteriori Error Estimate of CIP-FEM for Elliptic Equations

    Jianye Wang, Rui Ma
    2018-05-05
    DOI:10.4208/aamm.2014.m834
    42292 3051 pp. 517-535
  • Error Analysis and Adaptive Methods of Least Squares Nonconforming Finite Element for the Transport Equations

    Huipo Liu, Shuanghu Wang, Hongbin Han
    2018-05-05
    DOI:10.4208/aamm.2015.m1104
    42801 3005 pp. 871-886
  • A Quadratic Triangular Finite Volume Element Method for a Semilinear Elliptic Equation

    Zhiguang Xiong, Kang Deng
    2018-05-05
    DOI:10.4208/aamm.2014.m63
    43542 4472 pp. 186-204
  • Finite Element Solution for MHD Flow of Nanofluids with Heat and Mass Transfer Through a Porous Media with Thermal Radiation, Viscous Dissipation and Chemical Reaction Effects

    Shafqat Hussain
    2018-05-05
    DOI:10.4208/aamm.2014.m793
    43134 3092 pp. 904-923
  • 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
  • Discrete Maximum Principle Based on Repair Technique for Finite Element Scheme of Anisotropic Diffusion Problems

    Xingding Chen, Guangwei Yuan, Yunlong Yu
    2021-07-01
    DOI:10.4208/aamm.2013.m445
    42989 4426 pp. 849-866
  • A Priori Error Estimates of Finite Element Methods for Linear Parabolic Integro-Differential Optimal Control Problems

    Wanfang Shen, Liang Ge, Danping Yang, Wenbin Liu
    2014-06-01
    DOI:10.4208/aamm.2012.m30
    43195 4329 pp. 552-569
  • 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
  • Adaptive Finite Element Approximations for a Class of Nonlinear Eigenvalue Problems in Quantum Physics

    Huajie Chen, Xingao Gong, Lianhua He, Aihui Zhou
    2011-03-01
    DOI:10.4208/aamm.10-m1057
    41551 4263 pp. 493-518
  • Finite Element Methods for Nonlinear Backward Stochastic Partial Differential Equations and Their Error Estimates

    Xu Yang, Weidong Zhao
    2021-07-01
    DOI:10.4208/aamm.OA-2019-0345
    48142 4217 pp. 1457-1480
  • A Type of Cascadic Adaptive Finite Element Method for Eigenvalue Problem

    Fei Xu, Qiumei Huang, Shuangshuang Chen, Hongkun Ma
    2020-04-10
    DOI:10.4208/aamm.OA-2019-0054
    45023 3296 pp. 774-796
  • Error Estimates and Superconvergence of Mixed Finite Element Methods for Optimal Control Problems with Low Regularity

    Yanping Chen, Tianliang Hou, Weishan Zheng
    2021-07-01
    DOI:10.4208/aamm.12-12S05
    43383 4191 pp. 751-768
  • 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
  • An Energy-Stable Finite Element Method for Incompressible Magnetohydrodynamic-Cahn-Hilliard Coupled Model

    Jianping Zhao, Rui Chen, Haiyan Su
    2021-04-13
    DOI:10.4208/aamm.OA-2020-0044
    47128 3430 pp. 761-790
  • Time-Space Adaptive Finite Element Method for Nonlinear Schrödinger Equation

    Yaoyao Chen, Ying Liu, Hao Wang
    2024-12-02
    DOI:10.4208/aamm.OA-2023-0071
    14418 1215 pp. 207-223
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