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Advances in Applied Mathematics and Mechanics
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  • Convergence and Quasi-Optimality of an Adaptive Continuous Interior Penalty Finite Element Method

    Lingxue Zhu, Zhenhua Zhou
    2019-01-11
    43335 3161 Pages:428-451
  • The Oseen Type Finite Element Iterative Method for the Stationary Incompressible Magnetohydrodynamics

    Xiaojing Dong, Yinnian He
    2018-05-05
    42144 2997 Pages:775-794
  • A Stabilized Finite Element Method for Non-Stationary Conduction-Convection Problems

    Ke Zhao, Yinnian He, Tong Zhang
    2018-08-10
    41437 4284 Pages:239-258
  • A Type of Cascadic Adaptive Finite Element Method for Eigenvalue Problem

    Fei Xu, Qiumei Huang, Shuangshuang Chen, Hongkun Ma
    2020-04-10
    44804 3231 Pages:774-796
  • A Method of Lines Based on Immersed Finite Elements for Parabolic Moving Interface Problems

    Tao Lin, Yanping Lin, Xu Zhang
    2021-01-13
    42468 4124 Pages:548-568
  • Time-Space Adaptive Finite Element Method for Nonlinear Schrödinger Equation

    Yaoyao Chen, Ying Liu, Hao Wang
    2024-12-02
    13959 1026 Pages:207-223
  • An Immersed Finite Element Method for Elliptic Interface Problems with Multi-Domain and Triple Junction Points

    Yuan Chen, Songming Hou, Xu Zhang
    2019-06-24
    47276 3257 Pages:1005-1021
  • An Explicit Superconvergent Weak Galerkin Finite Element Method for the Heat Equation

    Fuzheng Gao, Shangyou Zhang
    2024-12-31
    12876 1125 Pages:538-553
  • New Conservative Finite Volume Element Schemes for the Modified Regularized Long Wave Equation

    Jinliang Yan, Ming-Chih Lai, Zhilin Li, Zhiyue Zhang
    2018-05-05
    41583 3003 Pages:250-271
  • Two-Level Stabilized Finite Volume Methods for the Stationary Navier-Stokes Equations

    Tong Zhang, Shunwei Xu
    2018-08-10
    43577 4797 Pages:19-35
  • Interacting Stress Intensity Factors of Multiple Elliptical-Holes and Cracks Under Far-Field and Arbitrary Surface Stresses

    Wei Yi, Qiuhua Rao, Wei Zhu, Qingqing Shen, Zhuo Li, Wenbo Ma
    2021-11-18
    50261 4416 Pages:125-154
  • A Mixed Formulation of Stabilized Nonconforming Finite Element Method for Linear Elasticity

    Bei Zhang, Jikun Zhao
    2020-03-06
    47150 4826 Pages:278-300
  • A Mortar Method Using Nonconforming and Mixed Finite Elements for the Coupled Stokes-Darcy Model

    Peiqi Huang, Jinru Chen, Mingchao Cai
    2018-08-04
    41731 3059 Pages:596-620
  • 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
    199 4
  • 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
    49173 5233 Pages:164-188
  • A Quadratic Triangular Finite Volume Element Method for a Semilinear Elliptic Equation

    Zhiguang Xiong, Kang Deng
    2018-05-05
    43351 4366 Pages:186-204
  • An Energy-Stable Finite Element Method for Incompressible Magnetohydrodynamic-Cahn-Hilliard Coupled Model

    Jianping Zhao, Rui Chen, Haiyan Su
    2021-04-13
    46836 3342 Pages:761-790
  • Two-Scale Picard Stabilized Finite Volume Method for the Incompressible Flow

    Jianhong Yang, Lei Gang, Jianwei Yang
    2014-06-01
    42481 4193 Pages:663-679
  • First-Order, Unconditionally Stable, Fully Decoupled Methods for the Penalty Ericksen-Leslie System with Variable Density

    Zhaowei Wang, Danxia Wang, Hongen Jia, Chenhui Zhang
    2025-10-29
    4466 106 Pages:666-699
  • Penalty Finite Element Method for the 2D/3D Unsteady Incompressible Thermomicropolar Fluid Equations

    Junru Guo, Demin Liu
    2025-07-19
    7516 462 Pages: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
    40731 3117 Pages:386-398
  • Fracture Analysis in Orthotropic Thermoelasticity Using Extended Finite Element Method

    Honggang Jia, Yufeng Nie, Junlin Li
    2021-07-01
    42638 4054 Pages:780-795
  • 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
    2025-10-14
    4232 265 Pages:348-368
  • Adaptive Finite Element Solutions of a Diffusion Model for Drug Release in PLGA Microspheres

    Hongyu Chen, Guanghui Hu, Defang Ouyang
    2025-11-19
    209 3
  • An Alternating Direction Method of Multipliers for Optimal Control Problems Constrained with Elliptic Equations

    Jinda Yang, Kai Zhang, Haiming Song, Ting Cheng
    2020-01-17
    48329 3301 Pages:336-361
  • A Stabilizer-Free Weak Galerkin Finite Element Method for the Stokes Equations

    Yue Feng, Yujie Liu, Ruishu Wang, Shangyou Zhang
    2021-11-18
    50388 4228 Pages:181-201
  • 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
    44857 3244 Pages:791-805
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