陈艳利

发布时间:2025-06-12浏览次数:20


姓名:陈艳利

职称:副教授

专业:数学

所属二级学科:计算数学

研究方向:微分方程数值解

E-mail: chenyanli@mail.neu.edu.cn

  

近年来的主要研究工作:

    1.陈艳利副教授致力于偏微分方程数值方法研究,在有限体积元法与弱有限元法领域开展系统性工作。她针对二阶椭圆型方程研究高阶及自适应有限体积元法,提升数值解精度;探索弱有限元法处理复杂边界与非协调网格的应用。应用研究聚焦辐射二温能量方程与电磁散射问题,构建保守型有限体积格式并结合自适应技术实现物理场精准捕捉,为能源、环境等领域的复杂科学计算提供理论与方法支撑。

近年来承担的主要项目:

1.国家自然科学基金青年项目:三维电磁波和弹性波开腔体散射问题高效计算方法研究,2021.01-2023.12,到账经费 24 万元

  

近年来发表的代表性论文(十篇):

1.Chen Yanli, Gao Yixian, Li Peijun. Analysis of the time-domain PML

problem for the electromagnetic scattering by periodic structures.  Communications in Mathematical Sciences, 20(7): 1785-1813.

2.Chen Yanli, Jiang Xue, Lai Jun, Li Peijun. A fast algorithm for the electromagnetic scattering from a large rectangular cavity in three dimensions. Journal of Computational Physics, 437.

3.Chen Yanli, Li Peijun, Yuan Xiaokai. An Adaptive Finite Element PML Method for the Open Cavity Scattering Problems. Communications in Computational Physics29 (5): 1505-1540.

4.Chen Yanli, Zhang Tie. A weak Galerkin finite element method for Burgers’ equation. Journal of Computational and Applied Mathematics, 348: 103-119.

5.Zhang Tie, Chen Yanli. An analysis of the weak Galerkin finite element method for convection-diffusion equations. Applied Mathematics and Computation, 346: 612-621.

6.Zhang Tie, Chen Yanli. A Posteriori Error Analysis for the Weak Galerkin Method for Solving Elliptic Problems. International Journal of Computational Methods, 15(1).

7.Zhao Xiukun, Chen Yanli, Lv Junliang. A Mixed Nonoverlapping Covolume Method on Quadrilateral Grids for Elliptic Problems. Journal of Computational and Applied Mathematics, 292: 23-40.

8.Chen Yanli, Li Yonghai. Optimal Bicubic Finite Volume Methods on Quadrilateral Meshes. Advances in Applied Mathematics and Mechanics, 7(4): 454-471.

9.Chen Yanli, Li Yonghai, Sheng Zhiqiang, Yuan Guangwei. Adaptive Bilinear Element Finite Volume Methods for Second-Order Elliptic Problems on Nonmatching Grids. Journal of Scientific Computing, 64(1): 130-150.

10.Zhao Xiukun, Chen Yanli, Gao Yanni, Yu Changhua, Li Yonghai. Finite Volume Element Methods for Nonequilibrium Radiation Diffusion Equations. International Journal for Numerical Methods in Fluids, 73(12): 1059-1080.