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Advances in Applied Mathematics and Mechanics
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  • Mixed Convection in Viscoelastic Boundary Layer Flow and Heat Transfer over a Stretching Sheet

    Antonio Mastroberardino
    2014-06-01
    50826 4353 Pages:359-375
  • Development of Lattice Boltzmann Flux Solver for Simulation of Incompressible Flows

    C. Shu, Y. Wang, C. J. Teo, J. Wu
    2014-06-01
    44549 4558 Pages:436-460
  • Superconvergence of bi-$k$ Degree Time-Space Fully Discontinuous Finite Element for First-Order Hyperbolic Equations

    Hongling Hu, Chuanmiao Chen
    2018-05-05
    42511 3113 Pages:323-337
  • Analysis of an Implicit Fully Discrete Local Discontinuous Galerkin Method for the Time-Fractional Kdv Equation

    Leilei Wei, Yinnian He, Xindong Zhang
    2018-05-05
    41538 3117 Pages:510-527
  • An Acceleration Method for Stationary Iterative Solution to Linear System of Equations

    Qun Lin, Wujian Peng
    2012-04-01
    41587 4636 Pages:473-482
  • 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
  • An Error Analysis for the Finite Element Approximation to the Steady-State Poisson-Nernst-Planck Equations

    Ying Yang, Benzhuo Lu
    2018-08-10
    43538 4803 Pages:113-130
  • Fourth-Order Structure-Preserving Method for the Conservative Allen-Cahn Equation

    Xiaowei Chen, Xu Qian, Songhe Song
    2022-10-24
    45500 4076 Pages:159-181
  • 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
  • Unconditional Superconvergence Analysis of Energy Conserving Finite Element Methods for the Nonlinear Coupled Klein-Gordon Equations

    Ming Cui, Yanfei Li, Changhui Yao
    2023-02-24
    39737 3456 Pages:602-622
  • Comparison of Different Formulations for the Numerical Calculation of Unsteady Incompressible Viscoelastic Fluid Flow

    L. J. Amoreira, P. J. Oliveira
    2019-02-13
    42975 3814 Pages:483-502
  • Novel Conformal Structure-Preserving Algorithms for Coupled Damped Nonlinear Schrödinger System

    Hao Fu, Weien Zhou, Xu Qian, Songhe Song
    2021-07-01
    42752 3868 Pages:1383-1403
  • XFEM for Fracture Analysis in 2D Anisotropic Elasticity

    Honggang Jia, Yufeng Nie, Junlin Li
    2018-05-05
    43954 4836 Pages:125-143
  • An Algebraic Multigrid Method for Nearly Incompressible Elasticity Problems in Two-Dimensions

    Yingxiong Xiao, Shi Shu, Hongmei Zhang, Yuan Ouyang
    2018-08-10
    43524 4921 Pages:69-88
  • 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
  • An Alternating Direction Method of Multipliers for Optimal Control Problems Constrained with Elliptic Equations

    Jinda Yang, Kai Zhang, Haiming Song, Ting Cheng
    2020-01-17
    48329 3301 Pages:336-361
  • Multi-Symplectic Wavelet Collocation Method for Maxwell's Equations

    Huajun Zhu, Songhe Song, Yaming Chen
    2021-07-01
    41152 4191 Pages:663-688
  • The Fundamental Secondary Instability of the Primary Mack Mode in Hypersonic Boundary Layers on Flat Plates

    Jianxin Liu, Cunbo Zhang
    2019-04-16
    50849 3267 Pages:559-570
  • Radiative Effects on Mixed Convection in a Uniformly Heated Vertical Convergent Channel with an Unheated Moving Plate

    Assunta Andreozzi, Nicola Bianco, Vincenzo Naso
    2021-01-21
    40850 4088 Pages:280-296
  • Stabilized Finite Element Methods for Biot's Consolidation Problems Using Equal Order Elements

    Gang Chen, Minfu Feng
    2018-09-17
    45747 5360 Pages:77-99
  • 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
  • Mortar Element Method for the Coupling of Navier-Stokes and Darcy Flows

    Xin Zhao, Yanping Chen
    2018-09-17
    43675 2984 Pages:710-734
  • Hydrodynamic Regimes, Knudsen Layer, Numerical Schemes: Definition of Boundary Fluxes

    Christophe Besse, Saja Borghol, Thierry Goudon, Ingrid Lacroix-Violet, Jean-Paul Dudon
    2011-03-01
    40385 4038 Pages:519-561
  • Optimal Error Estimate of the Penalty FEM for the Stationary Conduction-Convection Problems

    Yanfang Lei, Hongtao Wang, Zhiyong Si
    2018-09-17
    42995 2894 Pages:767-784
  • 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
  • Nonpolynomial Jacobi Spectral-Collocation Method for Weakly Singular Fredholm Integral Equations of the Second Kind

    Qiumei Huang, Min Wang
    2024-05-14
    25203 2512 Pages:927-951
  • 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
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