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  • Error Analysis of Virtual Element Methods for the Time-Dependent Poisson-Nernst-Planck Equations

    Ying Yang, Ya Liu, Yang Liu, Shi Shu
    2024-11-21
    DOI:10.4208/jcm.2401-m2023-0130
    16308 1580 pp. 731-770
  • Uniform Error Bounds of a Conservative Compact Finite Difference Method for the Quantum Zakharov System in the Subsonic Limit Regime

    Gengen Zhang, Chunmei Su
    2023-12-01
    DOI:10.4208/jcm.2204-m2022-0001
    28284 2580 pp. 289-312
  • Optimal Error Estimates of the Local Discontinuous Galerkin Method with Generalized Numerical Fluxes for One-Dimensional KdV Type Equations

    Hongjuan Zhang, Xiong Meng, Dazhi Zhang, Boying Wu
    2024-11-18
    DOI:10.4208/jcm.2307-m2022-0278
    11697 1276 pp. 63-88
  • Analysis of the Implicit-Explicit Ultra-Weak Discontinuous Galerkin Method for Convection-Diffusion Problems

    Haijin Wang, Anping Xu, Qi Tao
    2023-12-01
    DOI:10.4208/jcm.2202-m2021-0290
    29402 3060 pp. 1-23
  • The Optimal Order Error Estimates for Finite Element Approximations to Hyperbolic Problems

    Tie Zhang
    2005-06-02
    33430 3340 pp. 275-284
  • Absolute Stable Homotopy Finite Element Methods for Circular Arch Problem and Asymptotic Exactness Posteriori Error Estimate

    Min-Fu Feng, Ping-Bing Ming, Rong-Kui Yang
    2021-07-01
    32632 3556 pp. 653-672
  • Error Analysis for Parabolic Optimal Control Problems with Measure Data in a Nonconvex Polygonal Domain

    Pratibha Shakya
    2024-11-13
    DOI:10.4208/jcm.2305-m2022-0215
    11867 1152 pp. 1579-1604
  • Richardson Extrapolation and Defect Correction of Finite Element Methods for Optimal Control Problems

    Tang Liu, Ningning Yan, Shuhua Zhang
    2018-08-22
    DOI:10.4208/jcm.2009.09-m1001
    34801 3947 pp. 55-71
  • A Sparse Grid Stochastic Collocation and Finite Volume Element Method for Constrained Optimal Control Problem Governed by Random Elliptic Equations

    Liang Ge, Tongjun Sun
    2019-02-12
    DOI:10.4208/jcm.1703-m2016-0692
    38215 2817 pp. 310-330
  • Superconvergence Analysis of Finite Element Methods for Optimal Control Problems of the Stationary Bénard Type

    Yanzhen Chang, Danping Yang
    2018-08-07
    32646 3702 pp. 660-676
  • A Priori and a Posteriori Error Estimates of a Weakly Over-Penalized Interior Penalty Method for Non-Self-Adjoint and Indefinite Problems

    Yuping Zeng, Jinru Chen, Feng Wang, Yanxia Meng
    2018-08-22
    DOI:10.4208/jcm.1403-CR5
    35192 4054 pp. 332-347
  • On the Anisotropic Accuracy Analysis of ACM's Nonconforming Finite Element

    DY Shi, SP Mao, SC Chen
    2021-07-01
    31864 3475 pp. 635-646
  • On the Finite Volume Element Version of Ritz-Volterra Projection and Applications to Related Equations

    Tie Zhang, Yan-Ping Li, Robert J. Tait
    2002-10-02
    33360 3718 pp. 491-504
  • Maximum Norm Error Estimates of Crouzeix-Raviart Nonconforming Finite Element Approximation of Navier-Stokes Problem

    Qing-Ping Deng, Xue-Jun Xu, Shu-Min Shen
    2000-04-02
    31739 3436 pp. 141-156
  • Space-Time Continuous and Time Discontinuous Galerkin Schemes Based on Isogeometric Analysis for Nonlinear Time-Fractional Partial Differential Equations

    Ang Ge, Jinye Shen, Lijun Yi
    2024-11-18
    DOI:10.4208/jcm.2308-m2023-0075
    11698 1363 pp. 89-120
  • Graded Meshes for Higher Order FEM

    Hans-Görg Roos, L. Teofanov, Zorica Uzelac
    2018-08-22
    DOI:10.4208/jcm.1405-m4362
    41536 4750 pp. 1-16
  • Variational Discretization of Parabolic Control Problems in the Presence of Pointwise State Constraints

    Klaus Deckelnick, Michael Hinze
    2018-08-22
    DOI:10.4208/jcm.1006-m3213
    34574 3984 pp. 1-15
  • Analysis of a Mixed Finite Element Method for a Phase Field Bending Elasticity Model of Vesicle Membrane Deformation

    Qiang Du, Liyong Zhu
    2006-06-02
    33359 3394 pp. 265-280
  • Adaptive Stochastic Meshfree Methods for Optimal Control Problem Governed by Random Elliptic Equations

    Liang Ge, Tongjun Sun, Wanfang Shen, Wenbin Liu
    2025-07-12
    DOI:10.4208/jcm.2404-m2021-0289
    6303 566 pp. 813-839
  • A Posteriori Error Estimate of Finite Element Method for the Optimal Control with the Stationary Bénard Problem

    Yanzhen Chang, Danping Yang
    2018-08-22
    DOI:10.4208/jcm.1210-m3864
    35109 3782 pp. 68-87
  • Heterogeneous Multiscale Method for Optimal Control Problem Governed by Elliptic Equations with Highly Oscillatory Coefficients

    Liang Ge, Ningning Yan, Lianhai Wang, Wenbin Liu, Danping Yang
    2018-09-17
    DOI:10.4208/jcm.1703-m2015-0433
    39420 3002 pp. 644-660
  • Finite Element Analysis of Optimal Control Problem Governed by Stokes Equations with $L^2$-Norm State-Constraints

    Haifeng Niu, Danping Yang
    2018-08-22
    DOI:10.4208/jcm.1103-m3514
    34615 3417 pp. 589-604
  • Analysis of Multiphysics Finite Element Method for a Nonlinear Poroelasticity Model

    Zhihao Ge, Wenlong He
    2025-02-10
    DOI:10.4208/jcm.2412-m2024-0188
    361 186
  • An Unfitted $hp$-Interface Penalty Finite Element Method for Elliptic Interface Problems

    Haijun Wu, Yuanming Xiao
    2019-04-29
    DOI:10.4208/jcm.1802-m2017-0219
    42016 3087 pp. 316-339
  • New Error Estimates for Linear Triangle Finite Elements in the Steklov Eigenvalue Problem

    Hai Bi, Yidu Yang, Yuanyuan Yu, Jiayu Han
    2018-09-17
    DOI:10.4208/jcm.1703-m2014-0188
    39383 2947 pp. 682-692
  • An Exponential Wave Integrator Pseudospectral Method for the Symmetric Regularized-Long-Wave Equation

    Xiaofei Zhao
    2018-08-22
    DOI:10.4208/jcm.1510-m4467
    37974 4909 pp. 49-69
  • Generalized Laguerre Approximation and Its Applications to Exterior Problems

    BY Guo, J Shen, CL Xu
    2005-04-02
    33170 3658 pp. 113-130
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