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  • Two-Grid Discretization Scheme for Nonlinear Reaction Diffusion Equation by Mixed Finite Element Methods

    Luoping Chen, Yanping Chen
    2014-06-01
    DOI:10.4208/aamm.12-m12130
    43882 4752 pp. 203-219
  • A Novel Discretization Method for Semilinear Reaction-Diffusion Equation

    Luoping Chen, Yanping Chen
    2018-09-17
    DOI:10.4208/aamm.OA-2017-0011
    44666 3204 pp. 409-423
  • Multigrid Method for Poroelasticity Problem by Finite Element Method

    Luoping Chen, Yanping Chen
    2021-07-01
    DOI:10.4208/aamm.OA-2019-0003
    48891 4479 pp. 1339-1357
  • Piecewise Spectral Collocation Method for Second Order Volterra Integro-Differential Equations with Nonvanishing Delay

    Zhenrong Chen, Yanping Chen, Yunqing Huang
    2022-08-08
    DOI:10.4208/aamm.OA-2021-0334
    288866 4061 pp. 1333-1356
  • Analysis of Two-Grid Methods for Nonlinear Parabolic Equations by Expanded Mixed Finite Element Methods

    Yanping Chen, Peng Luan, Zuliang Lu
    2021-07-01
    DOI:10.4208/aamm.09-m09S09
    41818 4294 pp. 830-844
  • Superconvergence of Rectangular Mixed Finite Element Methods for Constrained Optimal Control Problem

    Yanping Chen, Li Dai, Zuliang Lu
    2010-02-01
    DOI:10.4208/aamm.09-m0931
    43000 4728 pp. 56-75
  • Superconvergence of Mixed Methods for Optimal Control Problems Governed by Parabolic Equations

    Xiaoqing Xing, Yanping Chen
    2011-03-01
    DOI:10.4208/aamm.10-m1006
    41383 4076 pp. 401-419
  • Convergence Analysis of the Spectral Methods for Weakly Singular Volterra Integro-Differential Equations with Smooth Solutions

    Yunxia Wei, Yanping Chen
    2012-04-01
    DOI:10.4208/aamm.10-m1055
    42939 4769 pp. 1-20
  • 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
    DOI:10.4208/aamm.12-12S05
    43383 4191 pp. 751-768
  • A Spectral Method for Second Order Volterra Integro-Differential Equation with Pantograph Delay

    Weishan Zheng, Yanping Chen
    2013-05-01
    DOI:10.4208/aamm.12-m1209
    41859 4308 pp. 131-145
  • A Priori Error Estimates of Crank-Nicolson Finite Volume Element Method for Parabolic Optimal Control Problems

    Xianbing Luo, Yanping Chen, Yunqing Huang
    2013-05-01
    DOI:10.4208/aamm.12-m1296
    42870 4255 pp. 688-704
  • Convergence Analysis of Legendre-Collocation Methods for Nonlinear Volterra Type Integro Equations

    Yin Yang, Yanping Chen, Yunqing Huang, Wei Yang
    2018-03-29
    DOI:10.4208/aamm.2013.m163
    42841 4934 pp. 74-88
  • 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
    DOI:10.4208/aamm.2013.m399
    41849 3211 pp. 196-206
  • 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
    DOI:10.4208/aamm.2014.m591
    40552 3113 pp. 464-484
  • Spectral-Collocation Method for Volterra Delay Integro-Differential Equations with Weakly Singular Kernels

    Xiulian Shi, Yanping Chen
    2018-05-05
    DOI:10.4208/aamm.2015.m1088
    41542 3121 pp. 648-669
  • A Posteriori Error Estimates of Triangular Mixed Finite Element Methods for Semilinear Optimal Control Problems

    Zuliang Lu, Yanping Chen
    2018-08-10
    40039 4150 pp. 242-256
  • Convergence Analysis for the Chebyshev Collocation Methods to Volterra Integral Equations with a Weakly Singular Kernel

    Xiong Liu, Yanping Chen
    2021-07-01
    DOI:10.4208/aamm.OA-2016-0049
    41838 3782 pp. 1506-1524
  • Superconvergence Analysis of Bilinear Finite Element for the Nonlinear Schrödinger Equation on the Rectangular Mesh

    Zhikun Tian, Yanping Chen, Jianyun Wang
    2018-09-17
    DOI:10.4208/aamm.OA-2017-0156
    45152 3163 pp. 468-484
  • Mortar Element Method for the Coupling of Navier-Stokes and Darcy Flows

    Xin Zhao, Yanping Chen
    2018-09-17
    DOI:10.4208/aamm.OA-2017-0170
    43926 3043 pp. 710-734
  • Jacobi Spectral Collocation Method Based on Lagrange Interpolation Polynomials for Solving Nonlinear Fractional Integro-Differential Equations

    Xingfa Yang, Yin Yang, Yanping Chen, Jie Liu
    2021-07-01
    DOI:10.4208/aamm.OA-2018-0038
    47437 4158 pp. 1440-1458
  • 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
    DOI:10.4208/aamm.OA-2018-0121
    44106 3165 pp. 486-500
  • Equivalent a Posteriori Error Estimators for Semilinear Elliptic Equations with Dirac Right-Hand Side

    Wenting Mao, Yanping Chen, Haitao Leng
    2020-04-10
    DOI:10.4208/aamm.OA-2019-0329
    45359 3361 pp. 835-848
  • 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
    DOI:10.4208/aamm.OA-2021-0144
    41202 3418 pp. 469-493
  • Finite Element Scheme with H2N2 Interpolation for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation

    Huiqin Zhang, Yanping Chen, Jianwei Zhou, Yang Wang
    2024-07-22
    DOI:10.4208/aamm.OA-2023-0117
    26568 2475 pp. 1197-1222
  • Spectral Scheme for Nonlinear Volterra Integro-Differential Equation

    Weishan Zheng, Yanping Chen, Jianwei Zhou
    2025-07-19
    DOI:10.4208/aamm.OA-2022-0164
    8226 587 pp. 1395-1410
  • 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
    DOI:10.4208/aamm.OA-2019-0137
    48600 5146 pp. 87-100
  • Spectral Collocation Methods for Second-Order Volterra Integro-Differential Equations with Weakly Singular Kernels

    Xiulian Shi, Yanping Chen, Yunqing Huang, Fenglin Huang
    2020-01-17
    DOI:10.4208/aamm.OA-2019-0056
    48743 3652 pp. 480-502
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