讲师

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闫凤娜

  • 职称 ：讲师
  • 邮箱 ：fnyan@hfut.edu.cn
  • 所属系 ：信息与计算科学系
  • 主讲课程 ：高等数学，数值分析
  • 研究领域 ：偏微分方程数值解
教育经历
  • 2018.09-2020.09，特文特大学，计算数学，博士，导师：J.J.W. van der Vegt，徐岩；
    2016.09-2020.12，中国科学技术大学，计算数学，博士，导师：徐岩；
    2013.09-2016.07，郑州大学，计算数学，硕士，导师：石东洋；
    2009.09-2013.07，郑州大学，信息与计算科学，学士
工作经历
  • 2020.12至现在，合肥工业大学，数学学院，讲师
科研项目
  • 1.国家自然科学基金委员会，青年科学基金项目（C类），多组分化学反应流的间断有限元方法设计与分析，12501505，2026.01-2028.12，30万元，主持
    2.安徽省科技厅，安徽省自然科学基金，多组分化学反应流的高精度保界算法, 2408085QA020，2024.09-2026.08，8万元，主持
    3.国家自然科学基金委员会，优秀青年科学基金项目，间断有限元方法，11722112，2018.01-2020.12，130万元，参加
研究成果
  • [1] Xue, zhengyang; Yan, Fengna; Xia, Yinhuua. Exactly divergence-free ultra-weak discontinuous Galerkin method for Brinkman-Forchheimer equations. Journal of Computational and Applied Mathematics, 477(2026): 103-122.
    [2] Yan, Fengna; Xia, Yinhuua. Analysis of average bound preserving time-implicit discretizations for convection-diffusion-reaction equation. Applied Numerical Mathematics, 211(2025): 103-122.
    [3] Yan, Fengna; J. J. W. Van der Vegt; Xia, Yinhua; Xu, Yan. Higher order accurate bounds preserving time-implicit discretizations for the chemically reactive Euler equations. Communications in Computational Physics, 38(2025): 1017-1052.
    [4] Yan, Fengna; J. J. W. Van der Vegt; Xia, Yinhua; Xu, Yan. Entropy dissipative higher order accurate positivity preserving time-implicit discretizations for nonlinear degenerate parabolic equations. Journal of Computational and Applied Mathematics, 441(2024), 115674.
    [5] Yan, Fengna; Cheng ziqiang. Stability and error estimates of high order BDF-LDG discretizations for the Allen–Cahn equation. Computational Mathematics and Mathematical Physics, 63(2023), 2551-2571.
    [6] Yan, Fengna; Xu, Yan. Error analysis of an unconditionally energy stable local discontinuous Galerkin scheme for the Cahn-Hilliard equation with concentration-dependent mobility. Computational Methods in Applied Mathematics, 21(2021): 729-751.
    [7] Yan, Fengna; Xu, Yan. Stability analysis and error estimates of local discontinuous Galerkin methods with semi-implicit spectral deferred correction time-marching for the Allen-Cahn equation. Journal of Computational and Applied Mathematics, 376(2020), 112857.
    [8] Shi, Dongyang; Yan, Fengna; Wang, Junjun. Unconditionally superclose analysis of a new mixed finite element method for nonlinear parabolic equation. Journal of Computational Mathematics, 37(2019): 1-17.
    [9] Shi, Dongyang; Wang, Junjun; Yan, Fengna. Unconditional superconvergence analysis for nonlinear parabolic equation with nonconforming finite element. Journal of Scientific Computing, 70(2017): 85-111.

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