研究领域

计算数学

科研项目

[1] 中国石油大学（北京）青年拔尖人才基金项目：三维三区域椭圆型方程界面问题的非传统有限元数值模拟方法研究。


[2] 教育部留学回国人员科研启动基金项目：界面问题的数值建模与应用。


[3] 中国石油大学（北京）科研基金项目：界面问题的数值模拟。


[4] 大庆油田有限责任公司采油五厂项目：杏十区东部提高精细油藏数值模拟效率方法研究。


[5] 中国石油大学（北京）前瞻导向项目：黑油模型全隐式数值模拟方法研究。

代表性研究成果

[1] S. Hou, W. Wang and L. Wang. Numerical method for solving matrix coefficient elliptic equation with sharp-edged interfaces. Journal of Computational Physics, 2010, 229: 7162-7179.

[2] S. Hou, P. Song, L. Wang and H. Zhao. A weak formulation for solving elliptic interface problems without body fitted grid. Journal of Computational Physics, 2013, 249: 80-95.

[3] L. Wang, S. Hou and L. Shi*. A numerical method for solving three-dimensional elliptic interface problems with triple junction points. Advances in Computational Mathematics, Vol.44, No.1, pp. 175-193, 2018.

[4] L. Wang, S. Hou, L. Shi* and J. Solow. A Numerical Method for Solving Elasticity Equations with Interface involving Multi-domains and Triple Junction Points. Applied Mathematics and Computation, Vol. 251, pp. 615-625, 2015.

[5] L. Wang, H. Zheng, X. Lu and L. Shi. A Petrov-Galerkin finite element interface method for interface problems with Bloch-periodic boundary conditions and its application in phononic crystals. Journal of Computational Physics, 393: 117-138, 2019.

Publications

[1] Liqun Wang, Hui Zheng, Meiling Zhao, Liwei Shi and Songming Hou. Petrov–Galerkin method for the band structure computation of anisotropic and piezoelectric phononic crystals. Applied Mathematical Modelling, 2021, 89:1090–1105 .


[2] Liqun Wang, Hui Zheng, Xin Lu and Liwei Shi. A Petrov-Galerkin finite element interface method for interface problems with Bloch-periodic boundary conditions and its application in phononic crystals. Journal of Computational Physics, 2019, 393:117-138.


[3] Liqun Wang, Songming Hou, Liwei Shi and Ping Zhang. A bilinear Petrov-Galerkin finite element method for solving elliptic equation with discontinuous coefficients. Advances in Applied Mathematics and Mechanics, 2019, 11(1): 1-25.


[4] Liqun Wang, Songming Hou, Liwei Shi and Ping Zhang. A numerical method for solving the variable coefficient wave equation with interface jump conditions. International Journal of Numerical Analysis and Modeling, 2019, 16(1):1-17.


[5] Liqun Wang, Songming Hou and Liwei Shi. A simple fem for solving two-dimensional diffusion equation with nonlinear interface jump conditions. Computer Modeling in Engineering and Sciences, 2019, 119(1):73-90.


[6] Meiling Zhao, Na Zhu, Liqun Wang, Fast algorithms for the electromagnetic scattering by Partly Covered Cavities, Computational & Applied Mathematics, in press, 2019.


[7] Liqun Wang, Songming Hou and Liwei Shi. A FEM for solving two-dimensional nonlinear elliptic-parabolic interface problems with nonhomogeneous jump conditions. Advances in Applied Mathematics and Mechanics, 2018, 10(3):752-766.


[8] Liqun Wang, Songming Hou and Liwei Shi. A simple weak formulation for solving two-dimensional diffusion equation with local reaction on the interface. Computers & Mathematics with Applications, 2018, 75(4):1378-1389.