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Advances in Applied Mathematics and Mechanics
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  • 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
  • Performance Comparison on Parallel CPU and GPU Algorithms for Two Dimensional Unified Gas-Kinetic Scheme

    Jizhou Liu, Xiaodong Li, Fang Q. Hu
    2020-07-24
    45365 3237 Pages:1247-1260
  • A Two-Level Preconditioned Conjugate-Gradient Method in Distorted and Structured Grids

    Qiaolin He
    2018-08-10
    42500 4529 Pages:238-249
  • Moving Finite Element Simulations for Reaction-Diffusion Systems

    Guanghui Hu, Zhonghua Qiao, Tao Tang
    2012-04-01
    42538 4448 Pages:365-381
  • Alternating Cell Direction Implicit Method Using Approximate Factorization on Hybrid Grids

    Ali Ruhşen Çete, Oğuz Kaan Onay
    2022-02-25
    47957 3211 Pages:539-576
  • A Simplified Lattice Boltzmann Method for Turbulent Flow Simulation

    Lan Jiang, Xiangyu Gu, Jie Wu
    2022-06-13
    43769 3605 Pages:1040-1058
  • An Efficient and Unconditionally Convergent Galerkin Finite Element Method for the Nonlinear Schrödinger Equation in High Dimensions

    Yue Cheng, Tingchun Wang, Boling Guo
    2021-04-13
    62832 4037 Pages:735-760
  • Analyses of the Dispersion Overshoot and Inverse Dissipation of the High-Order Finite Difference Scheme

    Qin Li, Qilong Guo, Hanxin Zhang
    2021-07-01
    44930 4414 Pages:809-824
  • A Parameter-Free Generalized Moment Limiter for High-Order Methods on Unstructured Grids

    Michael Yang, Z.J. Wang
    2018-08-10
    96 66 Pages:451-480
  • A Parameter-Free Generalized Moment Limiter for High-Order Methods on Unstructured Grids

    Michael Yang, Z.J. Wang
    2018-08-10
    40764 4056 Pages:451-480
  • Numerical Approximation of Oscillatory Solutions of Hyperbolic-Elliptic Systems of Conservation Laws by Multiresolution Schemes

    Stefan Berres, Raimund Bürger, Alice Kozakevicius
    2018-08-10
    40107 4028 Pages:581-614
  • Two Novel Space-Time Polynomial Particular Solutions Methods for the Time-Dependent Schrödinger Equation

    Yanhua Cao, Song Luo
    2025-09-29
    5028 246 Pages:1789-1812
  • The Effect of Helicity on Kinetic Energy Cascade in Compressible Helical Turbulence

    Zheng Yan, Xinliang Li, Yaowei Fu, Changping Yu
    2019-04-16
    48206 3126 Pages:700-710
  • On the Double-Step PIV Algorithm of Wall-Bounded Flows

    Yiding Zhu
    2019-04-16
    48080 3135 Pages:675-685
  • Numerical Simulation of Tumor Growth Based on the Free Boundary Element Discretization

    Yarong Zhang, Yinnian He, Hongbin Chen
    2018-09-17
    44146 3084 Pages:529-553
  • Numerical Assessment of Criteria for Mesh Adaptation in the Finite Volume Solution of Shallow Water Equations

    Imad Kissami, Mohammed Seaid, Fayssal Benkhaldoun
    2020-01-17
    77695 3570 Pages:503-526
  • High Order Hybrid Weighted Compact Nonlinear Schemes for Hyperbolic Conservation Laws

    Peng Li, Xiqiang Zhao, Zhen Gao, Bao-Shan Wang
    2020-06-01
    50131 3372 Pages:972-991
  • Two-Level Hierarchical PCG Methods for the Quadratic FEM Discretizations of 2D Concrete Aggregate Models

    Yingxiong Xiao, Heng Chen and Lingjie Xie
    2021-07-01
    47916 4194 Pages:1376-1397
  • A Bilinear Petrov-Galerkin Finite Element Method for Solving Elliptic Equation with Discontinuous Coefficients

    Liqun Wang, Songming Hou, Liwei Shi, Ping Zhang
    2019-01-04
    47772 4718 Pages:216-240
  • Large Eddy Simulation of Spanwise Rotating Turbulent Channel Flow with Subgrid-Scale Eddy Viscosity Model Based on Helicity

    Zhou Jiang, Changping Yu
    2019-04-16
    48592 3174 Pages:711-722
  • A Nonconforming P2 and Discontinuous P1 Mixed Finite Element on Tetrahedral Grids

    Shangyou Zhang
    2025-05-12
    8253 510 Pages:1259-1274
  • A Direct-Forcing Immersed Boundary Projection Method for Thermal Fluid-Solid Interaction Problems

    Cheng-Shu You, Po-Wen Hsieh, Suh-Yuh Yang
    2022-10-24
    43685 4155 Pages:1-29
  • A Robust Three-Level Time Split High-Order Leapfrog/Crank-Nicolson Scheme for Two-Dimensional Sobolev and Regularized Long Wave Equations Arising in Fluid Mechanics

    Eric Ngondiep
    2025-03-14
    11029 774 Pages:956-988
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