宋麗娜
| 宋麗娜 |
 |
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本名 宋麗娜 國家 中國 外語 |
簡介
宋麗娜，女，1985年9月出生，理學博士，青島大學數學與統計學院副教授，現任青島大學數學與統計學院副院長。
學習與進修經歷：
2003年9月-2007年6月在曲阜師範大學數學科學學院學習，獲理學學士學位；
2007年9月-2009年6月在西安交通大學理學院學習，獲理學碩士學位；
2009年9月-2013年6月在西安交通大學數學與統計學院學習，獲理學博士學位；
2011年9月-2012年9月國家公派***。
工作經歷：
2013年6月-至今，青島大學數學與統計學院，教師。
其他榮譽稱號：
2021.07-2025.07青島大學卓越人才
2024.07 青島大學2024年優秀研究生指導教師
2024.07 青島大學優秀碩士學位論文指導老師
2023.12 山東省研究生創新成果獎指導老師
2023.07 青島大學2023年優秀研究生指導教師
2022.12 山東省優秀碩士學位論文指導老師
2022.06 青島大學優秀學士學位論文指導老師
2021.06 山東省第八屆「超星杯」高校青年教師教學比賽 優秀獎
2021.06 青島大學優秀碩士學位論文指導老師
2020.09 青島大學第九屆青年教師教學大獎賽 一等獎
主持科研項目：
山東省自然科學基金面上項目：三維流體移動界面問題的無網格-有限元耦合方法(No. ZR2024MA025), 2025/01-2027/12
山東省自然科學基金青年項目：自然對流與多孔介質流耦合問題的自適應無網格方法(No. ZR2019QA005), 2019/06-2022/06
國家自然科學基金青年項目：具有間斷粘性係數的不可壓縮流動問題的自適應有限元方法(No.11401332), 2015/01-2017/12
主要學術論文：
[25] Ruiqing Mu , Lina Song , Qiushuo Qin. A meshless method based on the generalized finite difference method for 2D and 3D anisotropic elliptic interface problems.Engineering Analysis with Boundary Elements 163 (2024) 505-516.
[24] Qiushuo Qin, Lina Song, Fan Liu. A meshless method based on the generalized finite difference method for three-dimensional elliptic interface problems, Computers and Mathematics with Applications,131(2023) 26-34.
[23] Qiushuo Qin, Lina Song, Quanxiang Wang. High-order meshless method based on the generalized finite difference method for 2D and 3D elliptic interface problems, Applied Mathematics Letters ,137 (2023) 108479.
[22] Fan Liu, Lina Song, Maosheng Jiang, Space-time generalized finite difference method for solving the thin elastic plate bending under dynamic loading., Engineering Analysis with Boundary Elements, 143 (2022) 632-638.
[21] Fan Liu, Lina Song, Maosheng Jiang, Guangming Fu.Generalized finite difference method for solving the bending problem of variable thickness thin plate.,Engineering Analysis with Boundary Elements, 139 (2022) 69-76.
[20] Yanan Xing, Lina Song, P.W. Li.A generalized finite difference method for solving biharmonic interface problems,Engineering Analysis with Boundary Elements, 135 (2022) 132-144.
[19] Mengru Shao,Lina Song, P.W. Li. A generalized finite difference method for solving Stokes interface problems, Eng. Anal. Bound. Elem., 132 (2021) 50-64.
[18] Yanan Xing, Lina Song, Chia-Ming Fan, A generalized finite difference method for solving elasticity interface problems, Engineering Analysis with Boundary Elements, 128C (2021) 105-117.
[17] Lina Song, P.W. Li, Y. Gu, C.M. Fan, Generalized finite difference method for solving stationary 2D and 3D stokes equations with a mixed boundary condition, Computers and Mathematics with Applications Comput. Math. Appl., 80 (2020) 1726-1743.
[16] Yanan Xing, Lina Song, Xiaoming He, Changxin Qiu. A generalized finite difference method for solving elliptic interface problems. Mathematics and Computers in Simulation, 2020, 178:109-124.
[15]Y. Gu, W. Qu, W. Chen, Lina Song, C.Z.Zhang. The generalized finite difference method for long-time dynamic modeling of three-dimensional coupled thermoelasticity problems. J. Comput. Phys., 384 (2019) 42-59.
[14]P.W. Li, Z. Fu, Y. Gu, Lina Song, The generalized finite difference method for the inverse Cauchy problem in linear elasticity. Int. J. Solids Struct., 174 (2019) 69-84.
[13]Lina Song, Hongwei Gao. Analysis of a Stokes interface problem in multi-subdomains.Applied Mathematics Letters, 2017,64:131-136.
[12] Lina Song，Haiyan Su, Xinlong Feng. Recovery-based error estimator for stabilized finite element method for the stationary Navier-Stokes problem. SIAM Journal on Scientific Computing, 2016,38(6): A3758-A3772.
[11] Lina Song, Yanren Hou, Zhiqiang Cai. Recovery-based error estimator for stabilized finite element methods for the Stokes equations. Computer Methods in Applied Mechanics and Engineering, 272: 1-16, 2014.
[10] Lina Song, Mingmei Gao. A posteriori error estimates for the stabilization of low-order mixed finite elements for the Stokes problem. Computer Methods in Applied Mechanics and Engineering, 279: 410-424, 2014.
[9] Lina Song, Yanren Hou, Haibiao Zheng. Adaptive local postprocessing finite element method for the Navier-Stokes equations. Journal of Scientific Computing, 55: 255-267, 2013.
[8] Lina Song, Yanren Hou, Haibiao Zheng. Adaptive variational multiscale method for the Stokes equations. International Journal for Numerical Methods in Fluids, 71: 1369-1381, 2013.
[7] Lina Song, Yanren Hou, Haibiao Zheng. The two-grid stabilization of equal-order finite elements for the Stokes equations. International Journal for Numerical Methods in Fluids, 67: 2054-2061, 2011.
[6] Lina Song, Yanren Hou, Haibiao Zheng. A variational multiscale method based on bubble functions for convection-dominated convection diffusion equation. Applied Mathematics and Computation, 217: 2226-2237, 2010.
[5] Haibiao Zheng, Lina Song, Yanren Hou, Yuhong Zhang. The partition of unity parallel finite element algorithm. Advances in Computational mathematics, 41: 937-951, 2015.
[4] Hongbo Wei, Yanren Hou, Lina Song. Adaptive dimension splitting algorithm for three-dimensional elliptic equation. International Journal of Computer Mathematics, 91:12, 2535-2553, 2014.
[3] Jianping Zhao, Yanren Hou, Lina Song. Modified intrinsic extend finite element method for elliptic equation with interfaces, Journal of Engineering Mathematics, 97，147-159,2015.
[2] Jianping Zhao, Yanren Hou, Lina Song, Dongwei Gui. The stable extrinsic extended finite element method for second order elliptic equation with interfaces.Advances in Difference Equations,216,2015.
[1] Haibiao Zheng, Yanren Hou, Feng Shi, Lina Song. A finite element variational multiscale method for incompressible flows based on two local Gauss integrations. Journal of Computational Physics, 228: 5961-5971, 2009.