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  • Exploring Acoustic and Sound Wave Propagation Simulations: A Novel Time Advancement Method for Homogeneous and Heterogeneous Media

    Shashi Kumar, Bangaru Ramcharan, Vivek S. Yadav, Ankit Singh, Yogesh G. Bhumkar, Manoj K. Rajpoot
    2024-12-02
    DOI:10.4208/aamm.OA-2023-0195
    14649 1266 pp. 315-349
  • Ultraspherical Spectral Method for Block Copolymer Systems on Unit Disk

    Wangbo Luo, Yanxiang Zhao
    2024-12-02
    DOI:10.4208/aamm.OA-2024-0161
    17683 1291 pp. 69-103
  • 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
  • Multi-Modes Multiscale Approach of Heat Transfer Problems in Heterogeneous Solids with Uncertain Thermal Conductivity

    Shan Zhang, Zihao Yang, Xiaofei Guan
    2022-10-24
    DOI:10.4208/aamm.OA-2022-0048
    44118 4002 pp. 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
    DOI:10.4208/aamm.OA-2022-0085
    27149 2570 pp. 181-207
  • 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
  • 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
    2026-04-01
    DOI:10.4208/amm.OA-2024-0111
    5227 287 pp. 785-814
  • Explicit, Monotone and Structure-Preserving Finite Difference Methods for Fisher-Kolmogorov-Petrovsky-Piscounov Equation and Allen-Cahn Equation

    Yuxin Liang, Dingwen Deng
    2026-04-01
    DOI:10.4208/aamm.OA-2023-0267
    5098 237 pp. 450-481
  • Numerical Investigation of Dynamics Stall on Vertical Axis Wind Turbine

    Ao Zhang, Haocheng Yu, Jingzhou Zeng, Wei Zhao, Hao Wen, Jianguo Zheng
    2026-02-01
    DOI:10.4208/aamm.OA-2024-0030
    5507 519 pp. 67-92
  • Stream Helicity in Toroidal Domains

    W. D. Su, Y. Tan
    2019-04-16
    DOI:10.4208/aamm.2018.s06
    49565 3300 pp. 619-629
  • 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
  • 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
  • Effect of a Tail with Non-Uniform Flexibility on Flapping Foil Dynamics

    Xingjian Lin, Jie Wu
    2019-06-24
    DOI:10.4208/aamm.OA-2018-0251
    45109 3316 pp. 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
    DOI:10.4208/aamm.OA-2022-0097
    15440 1451 pp. 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
    DOI:10.4208/aamm.OA-2023-0121
    25399 2494 pp. 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
    DOI:10.4208/aamm.OA-2023-0117
    26568 2475 pp. 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
    DOI:10.4208/aamm.OA-2024-0086
    13230 1279 pp. 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
    DOI:10.4208/aamm.OA-2022-0207
    11559 902 pp. 706-731
  • Structure-Preserving Exponential Schemes with High Accuracy for the 2D/3D Nonlinear Schrödinger Type Equation

    Yayun Fu, Hongliang Liu
    2025-05-12
    DOI:10.4208/aamm.OA-2023-0095
    8767 621 pp. 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
    DOI:10.4208/aamm.OA-2023-0101
    8090 537 pp. 1411-1429
  • A Numerical Method on Eulerian Grids for Two-Phase Compressible Flow

    Yonghui Guo, Ruo Li, Chengbao Yao
    2018-05-05
    DOI:10.4208/aamm.2014.m706
    42705 4713 pp. 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
    DOI:10.4208/aamm.2014.m600
    40866 3141 pp. 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
    DOI:10.4208/aamm.2014.m548
    40966 3150 pp. 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
    DOI:10.4208/aamm.2014.m866
    41484 3129 pp. 573-587
  • Aeroacoustic Simulations Using Compressible Lattice Boltzmann Method

    Kai Li, Chengwen Zhong
    2018-05-05
    DOI:10.4208/aamm.2015.m1083
    42727 3077 pp. 795-809
  • The Motion of a Neutrally Buoyant Ellipsoid Inside Square Tube Flows

    Xin Yang, Haibo Huang, Xiyun Lu
    2018-05-05
    DOI:10.4208/aamm.2015.m1376
    42170 3071 pp. 233-249
  • Structure-Preserving Wavelet Algorithms for the Nonlinear Dirac Model

    Xu Qian, Hao Fu, Songhe Song
    2018-05-05
    DOI:10.4208/aamm.2016.m1463
    42355 3087 pp. 964-989
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