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Advances in Applied Mathematics and Mechanics
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  • 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
  • Pointwise Goal-Oriented a Posteriori Error Estimates Using Dual Problems with Dirac Delta Source Terms for Linear Elliptic Problems

    Fei Li, Jingang Liu, Nianyu Yi, Liuqiang Zhong
    2025-10-14
    4486 264 Pages:222-241
  • A Modified Weak Galerkin Method for Stokes Equations

    Li Zhang, Minfu Feng, Jian Zhang
    2019-06-24
    43704 3188 Pages:890-910
  • Error Estimates of Mixed Methods for Optimal Control Problems Governed by General Elliptic Equations

    Tianliang Hou, Li Li
    2021-07-01
    43293 3852 Pages:1050-1071
  • A Posteriori Error Estimates of Triangular Mixed Finite Element Methods for Semilinear Optimal Control Problems

    Zuliang Lu, Yanping Chen
    2018-08-10
    39802 4010 Pages:242-256
  • Error Estimates and Superconvergence of Mixed Finite Element Methods for Optimal Control Problems with Low Regularity

    Yanping Chen, Tianliang Hou, Weishan Zheng
    2021-07-01
    43142 4074 Pages:751-768
  • A Posteriori Error Estimates of the Galerkin Spectral Methods for Space-Time Fractional Diffusion Equations

    Huasheng Wang, Yanping Chen, Yunqing Huang, Wenting Mao
    2020-03-06
    48354 5001 Pages:87-100
  • 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
  • Error Estimates of the Classical and Improved Two-Grid Methods

    Weifeng Zhang, Jinchao Xu, Liuqiang Zhong
    2018-09-17
    48652 3471 Pages:785-796
  • Mixed Finite Element Methods for Elastodynamics Problems in the Symmetric Formulation

    Yan Yang, Shiquan Zhang
    2018-09-17
    43771 3071 Pages:1279-1304
  • Optimal Error Estimates of the Semi-Discrete Local Discontinuous Galerkin Method and Exponential Time Differencing Schemes for the Thin Film Epitaxy Problem Without Slope Selection

    Danni Zhang, Ruihan Guo
    2023-02-24
    38866 3471 Pages:545-567
  • Error Estimates for 1D Asymptotic Models in Coaxial Cables with Non-Homogeneous Cross-Section

    Sébastien Imperiale, Patrick Joly
    2021-07-01
    43031 4193 Pages:647-664
  • A Posteriori Error Estimates for $hp$ Spectral Element Approximation of Elliptic Control Problems with Integral Control and State Constraints

    Jinling Zhang, Yanping Chen, Yunqing Huang, Fenglin Huang
    2022-01-24
    40953 3326 Pages:469-493
  • 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
  • Finite Element $θ$-Schemes for the Acoustic Wave Equation

    Samir Karaa
    2018-08-10
    41812 4130 Pages:181-203
  • A-Posteriori Error Estimates for Uniform $p$-Version Finite Element Methods in Square

    Jianwei Zhou, Danping Yang, Yujie Liu
    2018-05-05
    41850 3033 Pages:272-281
  • Gradient Recovery-Type a Posteriori Error Estimates for Steady-State Poisson-Nernst-Planck Equations

    Ruigang Shen, Shi Shu, Ying Yang, Mingjuan Fang
    2021-07-01
    48478 4151 Pages:1353-1383
  • Equivalent a Posteriori Error Estimators for Semilinear Elliptic Equations with Dirac Right-Hand Side

    Wenting Mao, Yanping Chen, Haitao Leng
    2020-04-10
    45139 3277 Pages:835-848
  • The a Posteriori Error Estimates for Chebyshev-Galerkin Spectral Methods in One Dimension

    Jianwei Zhou
    2018-03-30
    41262 3158 Pages:145-157
  • Cell Conservative Flux Recovery and a Posteriori Error Estimate of Vertex-Centered Finite Volume Methods

    Long Chen, Ming Wang
    2013-05-01
    42845 4107 Pages:705-727
  • Quadratic Finite Volume Method for a Nonlinear Elliptic Problem

    Yanwei Du, Yonghai Li, Zhiqiang Sheng
    2019-06-24
    43759 3175 Pages:838-869
  • 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
  • A Priori Error Estimates for Spectral Galerkin Approximations of Integral State-Constrained Fractional Optimal Control Problems

    Juan Zhang, Jiabin Song, Huanzhen Chen
    2023-02-24
    38911 3284 Pages:568-582
  • A Priori Error Estimates of Finite Element Methods for Linear Parabolic Integro-Differential Optimal Control Problems

    Wanfang Shen, Liang Ge, Danping Yang, Wenbin Liu
    2014-06-01
    42980 4213 Pages:552-569
  • Finite Element Methods for Nonlinear Backward Stochastic Partial Differential Equations and Their Error Estimates

    Xu Yang, Weidong Zhao
    2021-07-01
    47878 4145 Pages:1457-1480
  • The Adaptive Immersed Finite Element Method for the Variational Discretization of the Elliptic Optimal Control Problem with Interface

    Yanzhen Chang, Mengxue Fan, Liang Ge
    2025-10-29
    4481 106 Pages:700-723
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