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Advances in Applied Mathematics and Mechanics
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  • Multi-Modes Multiscale Approach of Heat Transfer Problems in Heterogeneous Solids with Uncertain Thermal Conductivity

    Shan Zhang, Zihao Yang, Xiaofei Guan
    2022-10-24
    43819 3859 Pages:69-93
  • A Vertex-Centered Arbitrary Lagrangian-Eulerian Finite Volume Method with Sub-Cells for Two-Dimensional Compressible Flow

    Xiaolong Zhao, Xijun Yu, Zupeng Jia, Shijun Zou, Meilan Qiu
    2023-12-21
    26831 2415 Pages:181-207
  • An Absolutely Stabilized Virtual Element Method for the Incompressible Stokes Equations

    Xi Zhang, Minfu Feng
    2025-09-29
    5020 273 Pages:1625-1653
  • Characterizing Natural Convection, Energy, and Thermal Behavior in a Circular Cavity: Finite Element Analysis

    Muhammad Hamid, Muhammad Usman, Waqar Ahmed Khan, Rizwan Ul Haq, Zhenfu Tian
    2025-10-29
    4578 147 Pages:785-814
  • Explicit, Monotone and Structure-Preserving Finite Difference Methods for Fisher-Kolmogorov-Petrovsky-Piscounov Equation and Allen-Cahn Equation

    Yuxin Liang, Dingwen Deng
    2025-10-29
    4519 126 Pages:450-481
  • Numerical Investigation of Dynamics Stall on Vertical Axis Wind Turbine

    Ao Zhang, Haocheng Yu, Jingzhou Zeng, Wei Zhao, Hao Wen, Jianguo Zheng
    2025-10-14
    4659 279 Pages:67-92
  • Stream Helicity in Toroidal Domains

    W. D. Su, Y. Tan
    2019-04-16
    49342 3242 Pages:619-629
  • Nonconforming FEMs for the $p$-Laplace Problem

    D. J. Liu, A. Q. Li, Z. R. Chen
    2021-07-01
    45849 4236 Pages:1365-1383
  • Mixed Finite Element Methods for Elastodynamics Problems in the Symmetric Formulation

    Yan Yang, Shiquan Zhang
    2018-09-17
    43771 3071 Pages:1279-1304
  • Effect of a Tail with Non-Uniform Flexibility on Flapping Foil Dynamics

    Xingjian Lin, Jie Wu
    2019-06-24
    44872 3238 Pages:1159-1176
  • A Second-Order Alikhanov Type Implicit Scheme for the Time-Space Fractional Ginzburg-Landau Equation

    Yufang Gao, Shengxiang Chang, Changna Lu
    2024-11-01
    15116 1370 Pages:1451-1473
  • Error Analysis of a Pressure Penalty Scheme for the Reformulated Ericksen-Leslie System with Variable Density

    Xin Zhang, Danxia Wang, Jianwen Zhang, Hongen Jia
    2024-05-14
    25113 2394 Pages:952-979
  • Finite Element Scheme with H2N2 Interpolation for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation

    Huiqin Zhang, Yanping Chen, Jianwei Zhou, Yang Wang
    2024-07-22
    26270 2390 Pages:1197-1222
  • A Finite Element Method by Patch Reconstruction for the Quad-Curl Problem Using Mixed Formulations

    Ruo Li, Qicheng Liu, Shuhai Zhao
    2024-12-31
    12863 1170 Pages:517-537
  • An Upwind-Block-Centered Multistep Difference Method for a Semiconductor Device and Numerical Analysis

    Yirang Yuan, Changfeng Li, Huailing Song
    2025-03-14
    11184 805 Pages:706-731
  • Structure-Preserving Exponential Schemes with High Accuracy for the 2D/3D Nonlinear Schrödinger Type Equation

    Yayun Fu, Hongliang Liu
    2025-05-12
    8359 515 Pages:1088-1110
  • A Weak Galerkin Finite Element Method for a $H({\rm curl})$-Elliptic Problem

    Jie Peng, Yingying Xie, Yage Xu, Liuqiang Zhong
    2025-07-19
    7479 454 Pages:1411-1429
  • A Numerical Method on Eulerian Grids for Two-Phase Compressible Flow

    Yonghui Guo, Ruo Li, Chengbao Yao
    2018-05-05
    42489 4559 Pages:187-212 Open-access
  • Study of Heat Transfer Control with Magnetic Field Using Higher Order Finite Difference Scheme

    R. Sivakumar, S. Vimala, S. Damodaran, T. V. S. Sekhar
    2018-05-05
    40660 3075 Pages:449-463
  • 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
    40770 3084 Pages:399-425
  • A Study of Crack-Face Boundary Conditions for Piezoelectric Strip Cut Along Two Equal Collinear Cracks

    R. R. Bhargava, Pooja Raj Verma
    2018-05-05
    41293 3053 Pages:573-587
  • Aeroacoustic Simulations Using Compressible Lattice Boltzmann Method

    Kai Li, Chengwen Zhong
    2018-05-05
    42488 3012 Pages:795-809
  • The Motion of a Neutrally Buoyant Ellipsoid Inside Square Tube Flows

    Xin Yang, Haibo Huang, Xiyun Lu
    2018-05-05
    41942 3012 Pages:233-249
  • Structure-Preserving Wavelet Algorithms for the Nonlinear Dirac Model

    Xu Qian, Hao Fu, Songhe Song
    2018-05-05
    42129 3030 Pages:964-989
  • Quasi-Static Linear Thermo-Viscoelastic Process with Irregular Viscous Dissipation

    Farid Messelmi, Abdelbaki Merouani, Hicham Abdelaziz
    2018-05-05
    41724 2972 Pages:924-943
  • A Convex-Splitting Scheme for a Diffuse Interface Model with Peng-Robinson Equation of State

    Qiujin Peng
    2018-05-05
    44947 3079 Pages:1162-1188
  • Temporal Evolution and Scaling of Mixing in Turbulent Thermal Convection for Inhomogeneous Boundary Conditions

    Yikun Wei, Hua-Shu Dou, Zuchao Zhu, Zhengdao Wang, Yuehong Qian, Haihong Xue
    2018-05-05
    45213 3080 Pages:1035-1051
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