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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
    DOI:10.4208/aamm.2014.m834
    42292 3051 pp. 517-535
  • 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
    2026-02-01
    DOI:10.4208/aamm.OA-2023-0186
    5298 457 pp. 222-241
  • Error Estimates of the Classical and Improved Two-Grid Methods

    Weifeng Zhang, Jinchao Xu, Liuqiang Zhong
    2018-09-17
    DOI:10.4208/aamm.OA-2017-0212
    48901 3535 pp. 785-796
  • Adaptive Finite Element Method for Simulating Graphene Surface Plasmon Resonance

    Jingrun Chen, Xuhong Liu, Jiangqiong Mao, Wei Yang
    2026-02-01
    DOI:10.4208/aamm.OA-2024-0069
    5399 521 pp. 11-36
  • New Regularization and Error Estimate for the Cauchy Problem of the Nonlinear Helmholtz-Type Equation

    Zhenping Li, Xiangtuan Xiong
    2026-08-01
    DOI:10.4208/aamm.OA-2024-0180
    904 94 pp. 1269-1306
  • A Posteriori Error Analysis of Any Order Finite Volume Methods for Elliptic Problems

    Yuanyuan Zhang, Min Yang
    2020-01-17
    DOI:10.4208/aamm.OA-2019-0012
    45356 3306 pp. 564-578
  • Unconditional Optimal Error Estimates for the Transient Navier-Stokes Equations with Damping

    Minghao Li, Zhenzhen Li, Dongyang Shi
    2021-11-18
    DOI:10.4208/aamm.OA-2020-0239
    48004 4398 pp. 248-274
  • The Nonconforming Finite Element Methods for Two Transmission Eigenvalue Problems in Inverse Scattering

    Lingling Sun, Hai Bi, Yidu Yang
    2025-10-14
    DOI:10.4208/aamm.OA-2023-0136
    5412 438 pp. 37-66
  • Finite Volume Element Method for a Nonlinear Parabolic Equation

    Yanwei Du, Yonghai Li
    2025-03-14
    DOI:10.4208/aamm.OA-2022-0258
    11454 858 pp. 681-705
  • Error Estimate and Superconvergence of a High-Accuracy Difference Scheme for Solving Parabolic Equations with an Integral Two-Space-Variables Condition

    Liping Zhou, Shi Shu, Haiyuan Yu
    2018-09-17
    DOI:10.4208/aamm.OA-2017-0067
    44153 3237 pp. 362-389
  • 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
    DOI:10.4208/aamm.OA-2019-0046
    48712 4213 pp. 1353-1383
  • Cell Conservative Flux Recovery and a Posteriori Error Estimate of Vertex-Centered Finite Volume Methods

    Long Chen, Ming Wang
    2013-05-01
    DOI:10.4208/aamm.12-m1279
    43053 4233 pp. 705-727
  • A Type of Cascadic Adaptive Finite Element Method for Eigenvalue Problem

    Fei Xu, Qiumei Huang, Shuangshuang Chen, Hongkun Ma
    2020-04-10
    DOI:10.4208/aamm.OA-2019-0054
    45023 3296 pp. 774-796
  • Error Estimate of a Second Order Accurate Scalar Auxiliary Variable (SAV) Numerical Method for the Epitaxial Thin Film Equation

    Qing Cheng, Cheng Wang
    2021-11-17
    DOI:10.4208/aamm.OA-2020-0297
    119097 6101 pp. 1318-1354
  • Optimal Error Estimate of the Penalty FEM for the Stationary Conduction-Convection Problems

    Yanfang Lei, Hongtao Wang, Zhiyong Si
    2018-09-17
    DOI:10.4208/aamm.OA-2017-0103
    43239 2970 pp. 767-784
  • Efficient Stochastic Runge-Kutta Methods for Stochastic Differential Equations with Small Noises

    Xiao Tang, Aiguo Xiao
    2018-09-17
    DOI:10.4208/aamm.OA-2017-0181
    47147 3555 pp. 845-878
  • 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
    DOI:10.4208/aamm.OA-2022-0172
    26065 2384 pp. 1152-1175
  • Shape Analysis and Solution to a Class of Nonlinear Wave Equation with Cubic Term

    Xiang Li, Weiguo Zhang, Yan Zhao
    2012-04-01
    DOI:10.4208/aamm.10-m11181
    41566 4373 pp. 559-574
  • An Adaptive Time and Space Discretization Approach for Simulating Unsteady Navier-Stokes Flows

    Biao Peng, Chunhua Zhou, Junqiang Ai
    2019-01-11
    DOI:10.4208/aamm.OA-2018-0004
    44415 3193 pp. 406-427
  • A Posteriori Error Estimate for Stabilized Low-Order Mixed FEM for the Stokes Equations

    Yinnian He, Cong Xie, Haibiao Zheng
    2021-07-01
    DOI:10.4208/aamm.09-m0995
    39633 4093 pp. 798-809
  • Explicit, Monotone and Structure-Preserving Finite Difference Methods for Fisher-Kolmogorov-Petrovsky-Piscounov Equation and Allen-Cahn Equation

    Yuxin Liang, Dingwen Deng
    2026-04-01
    DOI:10.4208/aamm.OA-2023-0267
    5098 237 pp. 450-481
  • Superconvergence Error Estimate of the Bilinear-Constant Scheme for the Stokes Equations with Damping

    Huaijun Yang, Lele Wang, Xin Liao
    2024-11-01
    DOI:10.4208/aamm.OA-2022-0182
    15465 1434 pp. 1502-1518
  • A Primal-Dual Discontinuous Galerkin Finite Element Method for Ill-Posed Elliptic Cauchy Problems

    Yanli Chen, Tie Zhang, Ying Sheng
    2024-05-14
    DOI:10.4208/aamm.OA-2022-0108
    25102 2506 pp. 860-877
  • A High-Accuracy Mechanical Quadrature Method for Solving the Axisymmetric Poisson's Equation

    Hu Li, Jin Huang
    2018-05-05
    DOI:10.4208/aamm.2015.m1287
    42158 2980 pp. 393-406
  • A Mortar Method Using Nonconforming and Mixed Finite Elements for the Coupled Stokes-Darcy Model

    Peiqi Huang, Jinru Chen, Mingchao Cai
    2018-08-04
    DOI:10.4208/aamm.2016.m1397
    41964 3120 pp. 596-620
  • 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
    DOI:10.4208/aamm.OA-2020-0033
    63078 4106 pp. 735-760
  • Quadratic Finite Volume Method for a Nonlinear Elliptic Problem

    Yanwei Du, Yonghai Li, Zhiqiang Sheng
    2019-06-24
    DOI:10.4208/aamm.OA-2017-0231
    43998 3249 pp. 838-869
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