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Advances in Applied Mathematics and Mechanics
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  • Unified a Priori Error Estimate and a Posteriori Error Estimate of CIP-FEM for Elliptic Equations

    Jianye Wang, Rui Ma
    2018-05-05
    42093 2998 Pages:517-535
  • Error Estimation and Stress Recovery by Patch Equilibrium in the ‎‎Isogeometric Analysis Method

    Ahmad Ganjali, Behrooz Hassani, Masoud Mahdizadeh Rokhi
    2020-07-24
    49572 3205 Pages:1079-1112
  • Numerical Analysis for the Model Governing Anomalous Dynamics in Expanding Media

    Maoping Wang, Weihua Deng
    2025-10-29
    4501 112 Pages:724-755
  • Convergence Analysis of Legendre-Collocation Spectral Methods for Second Order Volterra Integro-Differential Equation with Delay

    Weishan Zheng, Yanping Chen, Yunqing Huang
    2019-01-11
    43871 3106 Pages:486-500
  • A New Framework of Convergence Analysis for Solving the General Nonlinear Schrödinger Equation Using the Fourier Pseudo-Spectral Method in Two Dimensions

    Jialing Wang, Tingchun Wang, Yushun Wang
    2023-02-24
    38118 3194 Pages:786-813
  • Error Analysis of Two-Level Finite Element Method for the Nonlinear Conductivity Problem in Maxwell's System

    Peizhen Wang, Dandan Zhang, Wei Yang
    2021-04-13
    44857 3244 Pages:791-805
  • Error Analysis of a New Euler Semi-Implicit Time-Discrete Scheme for the Incompressible MHD System with Variable Density

    Yuan Li, Xuewei Cui
    2024-12-02
    13939 1092 Pages:263-294
  • Posteriori Error Estimation for an Interior Penalty Discontinuous Galerkin Method for Maxwell's Equations in Cold Plasma

    Jichun Li
    2018-08-10
    42956 4673 Pages:107-124
  • A Posteriori Error Analysis of Any Order Finite Volume Methods for Elliptic Problems

    Yuanyuan Zhang, Min Yang
    2020-01-17
    45129 3229 Pages:564-578
  • Unconditional Optimal Error Estimates for the Transient Navier-Stokes Equations with Damping

    Minghao Li, Zhenzhen Li, Dongyang Shi
    2021-11-18
    47685 4241 Pages:248-274
  • 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
  • A Priori and a Posteriori Error Analysis of the Discontinuous Galerkin Methods for Reissner-Mindlin Plates

    Jun Hu, Yunqing Huang
    2021-07-01
    40722 4112 Pages:649-662
  • The a Posteriori Error Estimates for Chebyshev-Galerkin Spectral Methods in One Dimension

    Jianwei Zhou
    2018-03-30
    41262 3158 Pages:145-157
  • High-Order Three-Scale Computational Method for Thermoelastic Behavior Analysis of Axisymmetric Composite Structures with Multiple Spatial Scales

    Hao Dong, Junzhi Cui, Yufeng Nie, Zihao Yang, Zhiqiang Yang
    2020-01-17
    46799 3152 Pages:599-642
  • New Mixed Finite Volume Spaces for Elliptic Problems on Parallelepiped

    Ji Hyun Kim
    2020-06-01
    49441 3373 Pages:959-971
  • A Viscosity-Splitting Method for the Navier-Stokes/ Darcy Problem

    Yunxia Wang, Xuefeng Han, Zhiyong Si
    2020-03-06
    48557 4939 Pages:251-277
  • 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
    25113 2394 Pages:952-979
  • A High Accuracy Numerical Method and Error Analysis for Fourth Order Elliptic Eigenvalue Problems in Circular Domain

    Yixiao Ge, Ting Tan, Jing An
    2020-04-10
    46140 3294 Pages:815-834
  • 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
  • Error Analysis of Fully Discrete Data Assimilation Algorithms for Reaction-Diffusion Equation

    Wansheng Wang, Chengyu Jin, Yi Huang
    2025-03-14
    11037 784 Pages:840-866
  • A Posteriori Error Estimate for Stabilized Low-Order Mixed FEM for the Stokes Equations

    Yinnian He, Cong Xie, Haibiao Zheng
    2021-07-01
    39423 3972 Pages:798-809
  • Error Analysis for a Non-Monotone FEM for a Singularly Perturbed Problem with Two Small Parameters

    Yanping Chen, Haitao Leng, Li-Bin Liu
    2018-03-30
    41656 3155 Pages:196-206
  • A Posteriori Error Estimates of a Combined Mixed Finite Element and Discontinuous Galerkin Method for a Kind of Compressible Miscible Displacement Problems

    Jiming Yang, Zhiguang Xiong
    2013-05-01
    41828 4363 Pages:163-179
  • Superconvergence Analysis for the Maxwell's Equations in Debye Medium with a Thermal Effect

    Changhui Yao, Dongyang Shi, Mengmeng Hou
    2020-03-06
    48073 4953 Pages:141-163
  • Convergence Accelerating in the Homotopy Analysis Method: A New Approach

    M. Turkyilmazoglu
    2018-09-17
    49861 3479 Pages:925-947
  • Convergence Analysis of the Spectral Methods for Weakly Singular Volterra Integro-Differential Equations with Smooth Solutions

    Yunxia Wei, Yanping Chen
    2012-04-01
    42689 4632 Pages:1-20
  • Calculation of Four-Dimensional Unsteady Gas Flow via Different Quadrature Schemes and Runge-Kutta 4th Order Method

    M. Salah, M. S. Matbuly, O. Civalek, Ola Ragb
    2024-01-04
    55158 3150 Pages:437-458
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