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Advances in Applied Mathematics and Mechanics
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  • Decoupled Scheme for Non-Stationary Viscoelastic Fluid Flow

    Md. Abdullah Al Mahbub, Shahid Hussain, Nasrin Jahan Nasu, Haibiao Zheng
    2018-09-17
    44679 3089 Pages:1191-1226
  • 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
  • Error Estimates for Finite Element Approximation to Elliptic Optimal Control Problems with Boundary Observations in $H^{-\frac{1}{2}}(\Gamma)$

    Xuelin Tao
    2024-07-22
    25720 2302 Pages:1152-1175
  • Convergence Analysis of a BDF Finite Element Method for the Resistive Magnetohydrodynamic Equations

    Lina Ma, Cheng Wang, Zeyu Xia
    2024-12-31
    13013 1149 Pages:633-662
  • Two Efficient Block Preconditioners for the Mass-Conserved Ohta-Kawasaki Equation

    Juan Zhang, Shifeng Li, Kai Jiang
    2024-12-31
    13158 1143 Pages:454-488
  • Lattice Boltzmann Model for a Class of Viscous Wave Equation

    Qianhuan Li, Zhenhua Chai, Baochang Shi
    2024-12-31
    12947 1183 Pages:440-453
  • Optimal Error Analysis of Euler and BDF2 Semi-Renormalized FEMs for the Landau-Lifshitz-Slonczewski Equation

    Yundan Zhao, Rong An
    2025-05-12
    8540 499 Pages:1063-1087
  • Numerical Analysis of the Mixed 4th-Order Runge-Kutta Scheme of Conditional Nonlinear Optimal Perturbation Approach for the EI Niño-Southern Oscillation Model

    Xin Zhao, Jian Li, Wansuo Duan, Dongqian Xue
    2021-07-01
    43839 3799 Pages:1023-1035
  • Stability Analysis of a Fully Coupled Implicit Scheme for Inviscid Chemical Non-Equilibrium Flows

    Yu Wang, Jinsheng Cai, Kun Qu
    2021-07-01
    43701 3928 Pages:953-970
  • 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
  • Error Analysis and Adaptive Methods of Least Squares Nonconforming Finite Element for the Transport Equations

    Huipo Liu, Shuanghu Wang, Hongbin Han
    2018-05-05
    42569 2937 Pages:871-886
  • A Node-Based Smoothed Finite Element Method with Linear Gradient Fields for Elastic Obstacle Scattering Problems

    Junhong Yue, Yu Wang, Yan Li, Ming Li
    2023-10-11
    31276 2985 Pages:1562-1601
  • Modelling and Analysis of a Class of Metal-Forming Problems

    T. A. Angelov
    2021-07-01
    39426 3956 Pages:722-745
  • A New Family of Difference Schemes for Space Fractional Advection Diffusion Equation

    Can Li, Weihua Deng
    2018-05-05
    42130 3001 Pages:282-306
  • Nonlinear Vibration Analysis of Functionally Graded Nanobeam Using Homotopy Perturbation Method

    Majid Ghadiri, Mohsen Safi
    2018-05-05
    43584 4572 Pages:144-156
  • Complex Pattern Formations by Spatial Varying Parameters

    Siqing Li, Leevan Ling
    2021-07-01
    48768 4358 Pages:1327-1352
  • An Upwind Mixed Finite Element Method on Changing Meshes for Positive Semi-Definite Oil-Water Displacement of Darcy-Forchheimer Flow in Porous Media

    Yirang Yuan, Huailing Song, Changfeng Li, Tongjun Sun
    2020-07-24
    49484 3268 Pages:1196-1223
  • The Modified Localized Method of Approximated Particular Solutions for Linear and Nonlinear Convection-Diffusion-Reaction PDEs

    Wen Li, Kalani Rubasinghe, Guangming Yao, L. H. Kuo
    2020-07-24
    44555 3282 Pages:1113-1136
  • Asymptotic Expansions and Extrapolations of $H^1$-Galerkin Mixed Finite Element Method for Strongly Damped Wave Equation

    Dongyang Shi, Qili Tang, Xin Liao
    2018-05-05
    42025 3028 Pages:610-624
  • Numerical Solutions of the System of Singular Integro-Differential Equations in Classical Hölder Spaces

    Iurie Caraus, Zhilin Li
    2021-07-01
    42860 4089 Pages:737-750
  • Contaminant Flow and Transport Simulation in Cracked Porous Media Using Locally Conservative Schemes

    Pu Song, Shuyu Sun
    2012-04-01
    42171 4619 Pages:389-421
  • Collocation Methods for a Class of Volterra Integral Functional Equations with Multiple Proportional Delays

    Kai Zhang, Jie Li
    2012-04-01
    41071 3999 Pages:575-602
  • A Second Order Accurate in Time, Energy Stable Finite Element Scheme for the Flory-Huggins-Cahn-Hilliard Equation

    Maoqin Yuan, Wenbin Chen, Cheng Wang, Steven M. Wise, Zhengru Zhang
    2022-08-08
    270062 3707 Pages:1477-1508
  • Unconditional Stability and Error Estimates of the Modified Characteristics FEM for the Time-Dependent Viscoelastic Oldroyd Flows

    Yang Yang, Yanfang Lei, Zhiyong Si
    2020-12-18
    43952 3378 Pages:311-332
  • On the Equilibria of the Planar Equilateral Restricted Four-Body Problem with Radiation Pressure

    Shah Muhammad, Faisal Zaid Duraihem, Wei Chen, Euaggelos E. Zotos
    2021-04-13
    43566 3037 Pages:966-981
  • 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
  • The Boundary Mapped Collocation Method for Heat Conduction Problems with Heat Generation Spatially Varying Conductivity

    Zhentian Huang, Dong Lei, Zi Han, Heping Xie, Jianbo Zhu
    2024-12-02
    13935 1022 Pages:240-262
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