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  • Penalty-Factor-Free Stabilized Nonconforming Finite Elements for Solving Stationary Navier-Stokes Equations

    Linshuang He, Minfu Feng, Qiang Ma
    2022-10-06
    DOI:10.4208/jcm.2101-m2020-0156
    40318 3046 pp. 728-755
  • On Unconditional Stability of a Variable Time Step Scheme for the Incompressible Navier-Stokes Equations

    Yalan Zhang, Pengzhan Huang, Yinnian He
    2025-10-30
    DOI:10.4208/jcm.2407-m2023-0108
    4525 382 pp. 1524-1547
  • 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
    4577 428 pp. 1349-1373
  • Low-Degree $\mathcal{O}(h^2)$-Accurate Conservative Finite Element Schemes for Incompressible Stokes Problems on General Triangulations

    Wenjia Liu, Huilan Zeng, Shuo Zhang
    2025-12-28
    DOI:10.4208/jcm.2509-m2024-0165
    196 106
  • A Second-Order in Time and Energy-Dissipative Scheme for Time-Fractional Navier-Stokes Equations

    Ruimin Gao, Dongfang Li, Hongyu Qin
    2025-11-26
    DOI:10.4208/jcm.2505-m2024-0212
    271 301
  • Numerical Methods for Approximating Stochastic Semilinear Time-Fractional Rayleigh-Stokes Equations

    Mariam Al-Maskari
    2024-11-21
    DOI:10.4208/jcm.2311-m2023-0047
    19515 1523 pp. 569-587
  • Reconstructed Discontinuous Approximation to Stokes Equation in a Sequential Least Squares Formulation

    Ruo Li, Fanyi Yang
    2022-12-01
    DOI:10.4208/jcm.2104-m2020-0231
    296444 4011 pp. 39-71
  • A Conforming Quadratic Polygonal Element and Its Application to Stokes Equations

    Xinjiang Chen, Yanqiu Wang
    2022-10-06
    DOI:10.4208/jcm.2101-m2020-0234
    37822 3238 pp. 624-648
  • Unconditionally Optimal Error Estimates of the Bilinear-Constant Scheme for Time-Dependent Navier-Stokes Equations

    Huaijun Yang, Dongyang Shi
    2021-11-19
    DOI:10.4208/jcm.2007-m2020-0164
    42734 3924 pp. 127-146
  • Mixed Finite Element Methods for Fractional Navier-Stokes Equations

    Xiaocui Li, Xu You
    2021-06-10
    DOI:10.4208/jcm.1911-m2018-0153
    42501 4421 pp. 130-146
  • Superconvergence Analysis of Low Order Nonconforming Mixed Finite Element Methods for Time-Dependent Navier-Stokes Equations

    Huaijun Yang, Dongyang Shi, Qian Liu
    2021-06-10
    DOI:10.4208/jcm.1907-m2018-0263
    42257 4663 pp. 63-80
  • A Full Discrete Stabilized Method for the Optimal Control of the Unsteady Navier-Stokes Equations

    Yanmei Qin, Gang Chen, Minfu Feng
    2018-09-17
    DOI:10.4208/jcm.1703-m2016-0693
    39240 3061 pp. 718-738
  • Decoupled, Energy Stable Scheme for Hydrodynamic Allen-Cahn Phase Field Moving Contact Line Model

    Rui Chen, Xiaofeng Yang, Hui Zhang
    2018-09-17
    DOI:10.4208/jcm.1703-m2016-0614
    40054 2991 pp. 661-681
  • A Decoupling Method with Different Subdomain Time Steps for the Non-Stationary Navier-Stokes ⁄ Darcy Model

    Huiyong Jia, Peilin Shi, Kaitai Li, Hong-En Jia
    2018-08-22
    DOI:10.4208/jcm.1606-m2015-0436
    35912 2853 pp. 319-345
  • Robust Globally Divergence-Free Weak Galerkin Methods for Stokes Equations

    Gang Chen, Minfu Feng, Xiaoping Xie
    2018-08-22
    DOI:10.4208/jcm.1604-m2015-0447
    36743 2935 pp. 549-572
  • On the Error Estimates of a New Operator Splitting Method for the Navier-Stokes Equations

    Hongen Jia, Kaimin Teng, Kaitai Li
    2018-08-22
    DOI:10.4208/jcm.1310-m4211
    36893 4373 pp. 75-92
  • A Second Order Modified Characteristics Variational Multiscale Finite Element Method for Time-Dependent Navier-Stokes Problems

    Zhiyong Si, Jian Su, Yinnian He
    2018-08-22
    DOI:10.4208/jcm.1210-m3799
    34959 4124 pp. 154-174
  • A Stabilized Equal-Order Finite Volume Method for the Stokes Equations

    Wanfu Tian, Liqiu Song, Yonghai Li
    2021-07-01
    DOI:10.4208/jcm.1206-m3843
    36721 3803 pp. 615-628
  • Preconditioning the Incompressible Navier-Stokes Equations with Variable Viscosity

    Xin He, Maya Neytcheva
    2018-08-22
    DOI:10.4208/jcm.1201-m3848
    35143 3885 pp. 461-482
  • 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
    34616 3417 pp. 589-604
  • A New Stabilized Subgrid Eddy Viscosity Method Based on Pressure Projection and Extrapolated Trapezoidal Rule for the Transient Navier-Stokes Equations

    Minfu Feng, Yanhong Bai, Yinnian He, Yanmei Qin
    2018-08-22
    DOI:10.4208/jcm.1101-m2996
    34069 3743 pp. 415-440
  • A Note on Pressure Approximation of First and Higher Order Projection Schemes for the Nonstationary Incompressible Navier-Stokes Equations

    Erich Carelli, Andreas Prohl
    2018-08-07
    33158 3612 pp. 338-347
  • Convergence of a Mixed Finite Element for the Stokes Problem on Anisotropic Meshes

    Qingshan Li, Huixia Sun, Shaochun Chen
    2018-08-07
    32476 3527 pp. 740-755
  • Finite Element Methods for the Navier-Stokes Equations by $H(div)$ Elements

    Junping Wang, Xiaoshen Wang & Xiu Ye
    2018-08-07
    32247 3800 pp. 410-436
  • Full Discrete Two-Level Correction Scheme for Navier-Stokes Equations

    Yanren Hou, Liquan Mei
    2018-08-07
    33633 3486 pp. 209-226
  • A Nonconforming Anisotropic Finite Element Approximation with Moving Grids for Stokes Problem

    Dong-yang Shi, Yi-ran Zhang
    2006-10-02
    32361 3800 pp. 561-578
  • A Parallel Nonoverlapping Domain Decomposition Method for Stokes Problems

    MQ Jiang, PL Dai
    2006-04-02
    31379 3219 pp. 209-224
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