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Advances in Applied Mathematics and Mechanics
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  • 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
  • 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
  • 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
  • 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 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
  • 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 Estimates of Triangular Mixed Finite Element Methods for Semilinear Optimal Control Problems

    Zuliang Lu, Yanping Chen
    2018-08-10
    39802 4010 Pages:242-256
  • 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
  • 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
  • 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
  • Equivalent a Posteriori Error Estimator of Spectral Approximation for Control Problems with Integral Control-State Constraints in One Dimension

    Fenglin Huang, Yanping Chen, Xiulian Shi
    2018-05-05
    40335 3070 Pages:464-484
  • 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 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
  • Adaptive Finite Element Method for Simulating Graphene Surface Plasmon Resonance

    Jingrun Chen, Xuhong Liu, Jiangqiong Mao, Wei Yang
    2025-10-14
    4592 296 Pages:11-36
  • 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
  • The a Posteriori Error Estimates for Chebyshev-Galerkin Spectral Methods in One Dimension

    Jianwei Zhou
    2018-03-30
    41262 3158 Pages:145-157
  • An $h$-Adaptive Finite Element Solution of the Relaxation Non-Equilibrium Model for Gravity-Driven Fingers

    Huanying Bian, Yedan Shen, Guanghui Hu
    2021-11-17
    49444 3990 Pages:1418-1440
  • The Collocation Method and the Splitting Extrapolation for the First Kind of Boundary Integral Equations on Polygonal Regions

    Li Wang
    2012-04-01
    40893 4166 Pages:603-616
  • A High-Accuracy Mechanical Quadrature Method for Solving the Axisymmetric Poisson's Equation

    Hu Li, Jin Huang
    2018-05-05
    41914 2908 Pages:393-406
  • Nonconforming Finite Element Method for the Obstacle Problem of the $p$-Laplacian

    H. Y. Liu, D. J. Liu
    2025-10-29
    4504 196 Pages:434-449
  • Convergence and Complexity of an Adaptive Planewave Method for Eigenvalue Computations

    Xiaoying Dai, Yan Pan, Bin Yang, Aihui Zhou
    2024-02-29
    27580 2607 Pages:636-666
  • 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
  • Reconstructing the Absorption Function in a Quasi-Linear Sorption Dynamic Model via an Iterative Regularizing Algorithm

    Alexey Shcheglov, Jingzhi Li, Chao Wang, Alexander Ilin, Ye Zhang
    2023-12-21
    30534 2736 Pages:237-252
  • A Nonconvex and Nonsmooth Model for Deblurring Images under Cauchy Noise

    Hongtao Chen, Weina Wang
    2024-12-02
    14163 1025 Pages:148-174
  • The Lower Bounds of Eigenvalues by the Wilson Element in Any Dimension

    Youai Li
    2011-03-01
    40302 4005 Pages:598-610
  • Nonconforming FEMs for the $p$-Laplace Problem

    D. J. Liu, A. Q. Li, Z. R. Chen
    2021-07-01
    45849 4236 Pages:1365-1383
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