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Advances in Applied Mathematics and Mechanics
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  • Evaluating the Origin Intensity Factor in the Singular Boundary Method for Three-Dimensional Dirichlet Problems

    Linlin Sun, Wen Chen, Alexander H.-D. Cheng
    2021-07-01
    43107 3872 Pages:1289-1311
  • A New Fictitious Domain Method for Elliptic Problems with the Third Type Boundary Conditions

    Qiaolin He, Xiaomin Lv
    2018-09-17
    44789 3105 Pages:634-651
  • Iterative Method for Solving a Problem with Mixed Boundary Conditions for Biharmonic Equation

    Quang A Dang, Le Tung Son
    2018-08-10
    39772 814619 Pages:683-698
  • Rectangular Lattice Boltzmann Equation for Gaseous Microscale Flow

    Junjie Ren, Ping Guo, Zhaoli Guo
    2018-05-05
    40849 2996 Pages:306-330
  • A Boundary Mapped Collocation Method for the Analysis of the Arbitrarily Shaped Plates

    Zhentian Huang, Dong Lei, Zi Han, Heping Xie, Jianbo Zhu
    2024-12-02
    13925 1012 Pages:350-372
  • A Variable Correction-Based Immersed Boundary Method for Compressible Flows over Stationary and Moving Bodies

    Junjie Wang, Yadong Li, Jie Wu, Fusheng Qiu
    2020-01-17
    47113 3218 Pages:545-563
  • Optimal Stirring Strategies for Passive Scalars in a Domain with a General Shape and No-Flux Boundary Condition

    Sirui Zhu, Zhi Lin, Liang Li, Lingyun Ding
    2025-10-29
    4487 120 Pages:756-784
  • The Crank-Nicolson Hermite Cubic Orthogonal Spline Collocation Method for the Heat Equation with Nonlocal Boundary Conditions

    B. Bialecki, G. Fairweather, J. C. Lόpez-Marcos
    2021-01-13
    42988 4234 Pages:442-460
  • High-Order Local Absorbing Boundary Conditions for Fractional Evolution Equations on Unbounded Strips

    Haixia Dong, Miao Wang, Dongsheng Yin, Qian Zhang
    2020-04-10
    46510 3286 Pages:664-693
  • On the Numerical Solution of Logarithmic Boundary Integral Equations Arising in Laplace's Equations Based on the Meshless Local Discrete Collocation Method

    Pouria Assari, Mehdi Dehghan
    2019-06-24
    44010 3248 Pages:807-837
  • Natural Convection in a Concentric Annulus: A Lattice Boltzmann Method Study with Boundary Condition-Enforced Immersed Boundary Method

    Yang Hu, Xiao-Dong Niu, Shi Shu, Haizhuan Yuan, Mingjun Li
    2013-05-01
    41800 4700 Pages:321-336
  • Sensitivity Analysis of Inflow Conditions and Turbulence Models on Wind Turbine Wake Simulation Using an AD/RANS Approach

    Linlin Tian, Chunling Zhu, Ning Zhao, Wei Zhong, Yilei Song
    2018-09-17
    47118 3394 Pages:978-997
  • An Inverse Problem with the Final Overdetermination for the Mean Field Games System

    Michael V. Klibanov, Jingzhi Li, Hongyu Liu
    2025-10-14
    4442 275 Pages:189-221
  • Practical Absorbing Boundary Conditions for Wave Propagation on Arbitrary Domain

    Fengru Wang, Jerry Zhijian Yang, Cheng Yuan
    2021-07-01
    52459 4589 Pages:1384-1415
  • Sinc Collocation Numerical Methods for Solving Two-Dimensional Gross-Pitaevskii Equations with Non-Homogeneous Dirichlet Boundary Conditions

    Shengnan Kang, Kenzu Abdella, Macro Pollanen, Shuhua Zhang, Liang Wang
    2022-08-08
    292660 4130 Pages:1302-1332
  • Matching Boundary Conditions for Scalar Waves in Body-Centered-Cubic Lattices

    Ming Fang, Xianming Wang, Zhihui Li, Shaoqiang Tang
    2013-05-01
    41436 4609 Pages:337-350
  • Application of 2-D GDQ Method to Analysis a Thick FG Rotating Disk with Arbitrarily Variable Thickness and Non-Uniform Boundary Conditions

    Hodais Zharfi
    2024-01-04
    26307 2456 Pages:373-397
  • Radially Symmetrical Problems for Compressible Fluids with a High-Resolution Boundary Condition

    Zijin Zhu, Xiaoyan Hu, Guoxi Ni
    2022-12-13
    39824 3065 Pages:428-449
  • Convergence of Monotone Schemes for Conservation Laws with Zero-Flux Boundary Conditions

    K. H. Karlsen, J. D. Towers
    2018-08-04
    42949 4261 Pages:515-542 Open-access
  • Alternating Direction Implicit Orthogonal Spline Collocation on Non-Rectangular Regions

    Bernard Bialecki, Ryan I. Fernandes
    2021-01-13
    42373 4215 Pages:461-476
  • On the Boundary Integral Equations for a Two-Dimensional Slowly Rotating Highly Viscous Fluid Flow

    D. Lesnic
    2018-08-10
    43870 4899 Pages:140-150
  • Two-Level Defect-Correction Method for Steady Navier-Stokes Problem with Friction Boundary Conditions

    An Liu, Yuan Li, Rong An
    2021-07-01
    44595 3859 Pages:932-952
  • Discrete Maximum Principle for Poisson Equation with Mixed Boundary Conditions Solved by $hp$-FEM

    Tomáš Vejchodský, Pavel Šolín
    2018-08-10
    40839 4240 Pages:201-214
  • A Parallel Pressure Projection Stabilized Finite Element Method for Stokes Equation with Nonlinear Slip Boundary Conditions

    Kangrui Zhou, Yueqiang Shang
    2021-07-01
    47585 4163 Pages:1438-1456
  • The Fictitious Domain Method with Sharp Interface for Elasticity Systems with General Jump Embedded Boundary Conditions

    Mohamed Kara, Salim Mesbahi, Philippe Angot
    2020-10-20
    49530 4513 Pages:119-139
  • SAV Finite Element Method for the Peng-Robinson Equation of State with Dynamic Boundary Conditions

    Changhui Yao, Zhaoyue Du, Lei Yang
    2022-10-24
    44586 4058 Pages:139-158
  • Numerical Comparison of the LOOCV-MFS and the MS-CTM for 2D Equations

    Fang Hao, Hui Lv, Xiaoyan Liu
    2018-09-17
    45378 5121 Pages:41-61
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