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  • A Two-Level Finite Element Galerkin Method for the Nonstationary Navier-Stokes Equations I: Spatial Discretization

    Yinnian He
    2004-02-02
    33905 4218 pp. 21-32
  • Numerical Solutions of Nonautonomous Stochastic Delay Differential Equations by Discontinuous Galerkin Methods

    Xinjie Dai, Aiguo Xiao
    2019-04-29
    DOI:10.4208/jcm.1806-m2017-0296
    40240 3065 pp. 419-436
  • A Weak Galerkin Finite Element Method for the Linear Elasticity Problem in Mixed Form

    Ruishu Wang, Ran Zhang
    2018-09-17
    DOI:10.4208/jcm.1701-m2016-0733
    40944 2985 pp. 469-491
  • Dissipative Numerical Methods for the Hunter-Saxton Equation

    Yan Xu, Chi-Wang Shu
    2019-04-10
    DOI:10.4208/jcm.1003-m0003
    36968 3403 pp. 606-620
  • An Over-Penalized Weak Galerkin Method for Second-Order Elliptic Problems

    Kaifang Liu, Lunji Song, Shuangfeng Zhou
    2021-07-01
    DOI:10.4208/jcm.1705-m2016-0744
    44010 4017 pp. 866-880
  • A Multiscale Projection Method for Solving Nonlinear Integral Equations Under the Lipschitz Condition

    Linxiu Fan, Xingjun Luo, Rong Zhang, Chunmei Zeng, Suhua Yang
    2023-11-08
    DOI:10.4208/jcm.2202-m2021-0206
    27408 2568 pp. 1222-1245
  • A Posteriori Error Analysis of the PML Finite Volume Method for the Scattering Problem by a Periodic Chiral Structure

    Zhoufeng Wang, Muhua Liu
    2024-11-19
    DOI:10.4208/jcm.2305-m2022-0234
    11805 1054 pp. 413-437
  • Analysis of Arbitrary High Order Spectral Volume Method for Hyperbolic Conservation Laws over Rectangular Meshes

    Waixiang Cao, Zhimin Zhang, Qingsong Zou
    2025-09-05
    DOI:10.4208/jcm.2504-m2024-0201
    591 44 pp. 843–870
  • Semi-Implicit Spectral Deferred Correction Methods Based on Second-Order Time Integration Schemes for Nonlinear PDEs

    Ruihan Guo, Yan Xu
    2023-12-01
    DOI:10.4208/jcm.2202-m2021-0302
    31655 3074 pp. 111-133
  • High Order Stable Multi-Domain Hybrid RKDG and WENO-FD Methods

    Fan Zhang, Jian Cheng, Tiegang Liu
    2018-09-17
    DOI:10.4208/jcm.1702-m2016-0707
    39827 2907 pp. 517-541
  • A Relaxed HSS Preconditioner for Saddle Point Problems from Meshfree Discretization

    Yang Cao, Linquan Yao, Meiqun Jiang, Qiang Niu
    2018-08-22
    DOI:10.4208/jcm.1304-m4209
    37839 3710 pp. 398-421
  • Weak Galerkin Method for Coupling Stokes and Darcy-Forchheimer Flows

    Mingze Qin, Hui Peng, Qilong Zhai
    2025-10-30
    DOI:10.4208/jcm.2404-m2023-0232
    4570 425 pp. 1349-1373
  • Mixed Discontinuous Galerkin Method for Quasi-Newtonian Stokes Flows

    Yanxia Qian, Fei Wang, Wenjing Yan
    2024-04-08
    DOI:10.4208/jcm.2211-m2021-0255
    18874 1981 pp. 885-910
  • A $C^0$-Weak Galerkin Finite Element Method for the Two-Dimensional Navier-Stokes Equations in Stream-Function Formulation

    Baiju Zhang, Yan Yang, Minfu Feng
    2020-02-20
    DOI:10.4208/jcm.1806-m2017-0287
    44158 3067 pp. 310-336
  • Local Analysis of the Fully Discrete Local Discontinuous Galerkin Method for the Time-Dependent Singularly Perturbed Problem

    Yao Cheng, Qiang Zhang
    2018-08-22
    DOI:10.4208/jcm.1605-m2015-0398
    38806 2857 pp. 265-288
  • Mixed Discontinuous Galerkin Time-Stepping Method for Linear Parabolic Optimal Control Problems

    Tianliang Hou, Yanping Chen
    2018-08-22
    DOI:10.4208/jcm.1211-m4267
    37467 3061 pp. 158-178
  • A Multi-Domain Spectral IPDG Method for Helmholtz Equation with High Wave Number

    Lunji Song, Jing Zhang, Li-Lian Wang
    2018-08-22
    DOI:10.4208/jcm.1210-m4094
    35608 3569 pp. 107-136
  • Exponentially Fitted Local Discontinuous Galerkin Method for Convection-Diffusion Problems

    Tao Yu, Xingye Yue
    2012-06-02
    DOI:10.4208/jcm.1110-m3537
    34938 3539 pp. 298-310
  • Reflection/Transmission Characteristics of a Discontinuous Galerkin Method for Maxwell's Equations in Dispersive Inhomogeneous Media

    Xia Ji, Wei Cai, Pingwen Zhang
    2018-08-07
    32393 3688 pp. 347-364
  • Local Discontinuous Galerkin Methods for Three Classes of Nonlinear Wave Equations

    Yan Xu, Chi-Wang Shu
    2004-04-02
    34373 3827 pp. 250-274
  • Uniform Superconvergence Analysis of a Two-Grid Mixed Finite Element Method for the Time-Dependent Bi-Wave Problem Modeling $D$-Wave Superconductors

    Yanmi Wu, Dongyang Shi
    2024-01-16
    DOI:10.4208/jcm.2203-m2021-0058
    25648 2148 pp. 415-431
  • A New Stabilized Finite Element Method for Solving Transient Navier-Stokes Equations with High Reynolds Number

    Chunmei Xie, Minfu Feng
    2020-03-24
    DOI:10.4208/jcm.1810-m2018-0096
    40080 3011 pp. 395-416
  • Superconvergence Error Estimates of the Lowest-Order Raviart-Thomas Galerkin Mixed Finite Element Method for Nonlinear Thermistor Equations

    Huaijun Yang, Dongyang Shi
    2025-10-30
    DOI:10.4208/jcm.2406-m2023-0169
    4575 322 pp. 1548-1574
  • A Low Order Globally Divergence-Free WG Finite Element Method for Steady Thermally Coupled Incompressible MHD Flow

    Min Zhang, Qijia Zhai, Xiaoping Xie
    2026-01-10
    DOI:10.4208/jcm.2506-m2025-0061
    130 109
  • Weak Approximations of Stochastic Partial Differential Equations with Fractional Noise

    Meng Cai, Siqing Gan, Xiaojie Wang
    2024-04-08
    DOI:10.4208/jcm.2203-m2021-0194
    19261 1929 pp. 735-754
  • The a Posteriori Error Estimator of SDG Method for Variable Coefficients Time-Harmonic Maxwell's Equations

    Wei Yang, Xin Liu, Bin He, Yunqing Huang
    2022-11-15
    DOI:10.4208/jcm.2112-m2020-0330
    301997 3179 pp. 263-286
  • A Discontinuous Galerkin Method for the Fourth-Order Curl Problem

    Qingguo Hong, Jun Hu, Shi Shu, Jinchao Xu
    2021-07-01
    DOI:10.4208/jcm.1206-m3572
    38940 3848 pp. 565-578
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