刘晓薇，教授，硕士生导师，于2006和2014年分别获华南师范大学和同济大学数学硕士、博士学位。主要兴趣：（1）奇异摄动问题的有限元方法及分析；（2）非线性偏微分方程解的定性研究。主持国家自然科学青年基金1项，山东省自然科学基金面上项目2项，承担国家自然科学基金面上项目1项，在SIAM Journal on Numerical Analysis、IMA Journal of Numerical Analysis、Journal of Differential Equations等国际学术期刊发表SCI论文四十余篇，获山东省高等学校自然科学技术奖二等奖2项。
承担科研项目情况
1.山东省自然科学基金面上项目，ZR2021MA004、反应扩散方程组Robin边值问题解的定性分析及数值算法研究、2022.1-2024.12、10万元、在研、主持。
2.国家自然科学基金面上项目，11771257、奇异摄动问题有限元方法的超逼近性研究、2018.01–2021.12、48万元、结题、参与。
3.国家自然科学青年基金，11601251、反应扩散方程Robin边值问题解的渐近行为研究、2017/01-2019/12、19万元、结题、主持。
4.山东省自然科学基金面上项目，ZR2016AM13、带Robin边界条件和自由边界条件的反应扩散方程研究、2016/11-2019/06、12万元、结题、主持。
5.山东省高等学校科技计划项目，J16LI10、外来物种入侵的反应扩散模型研究、2016/08-2019/08、5万元、结题、主持。
代表性论文
1.Xiaowei Liu, Min Yang, Jin Zhang, Supercloseness of weak Galerkin method for a singularly perturbed convection–diffusion problem in 2D，Journal of Computational and Applied Mathematics, 2024, 436: 115404.
2.Xiaowei Liu，Jin Zhang，Uniform convergence of optimal order for a finite element method on a Bakhvalov-type mesh for a singularly perturbed convection diffusion equation with parabolic layers, Numerical Algorithms, 2023, 94: 459–478.
3.Xiaowei Liu，Jin Zhang，Supercloseness of weak Galerkin method on Bakhvalov type mesh for a singularly perturbed problem in 1D, Numerical Algorithms, 2023, 93: 367–395.
4.Xiaowei Liu，Jin Zhang，Supercloseness and post-processing of finite element method in a balanced norm for singularly perturbed reaction-diffusion equation，Computers & Mathematics with Applications, 2023, 142: 1-8.
5.Xiaowei Liu，Min Yang，Error estimations in the balanced norm of finite element method on Bakhvalov–Shishkin triangular mesh for reaction–diusion problems，Applied Mathematics Letters, 2022, 123: 107523.
6.Xiaowei Liu, Jin Zhang, Supercloseness of linear streamline diffusion finite element method on Bakhvalov-type mesh for singularly perturbed convection diffusion equation in 1D, Applied Mathematics and Computation, 2022, 430：127258.
7.Xiaowei Liu，Jin Zhang，Uniform supercloseness of Galerkin finite element method for convection-diffusion problems with characteristic layers，Computers & Mathematics with Applications，2018, 75: 444-458.
8.Xiaowei Liu，Jin Zhang，Pointwise estimates of SDFEM on Shishkin triangular meshes for problems with characteristic layers，Numerical Algorithms，2018，78:465-483.
9.Xiaowei Liu，Martin Stynes, Jin Zhang，Supercloseness of edge stabilization on Shishkin rectangular meshes for convection-diffusion problems with exponential layers，IMA Journal of Numerical Analysis，2018, 38: 2105–2122.
10.Xiaowei Liu，Jin Zhang，The transition speed of reaction-diffusion problems with Robin and free boundary conditions, Applied Mathematics Letters, 2018, 76:135-141.
11.Xiaowei Liu，Jin Zhang，Asymptotic behaviors of radially symmetric solutions to diffusion problems with Robin boundary condition in exterior domain, Nonlinear Analysis: Real World Applications, 2018，39: 1-13.
12.Xiaowei Liu，Jin Zhang，Galerkin finite element methods for convection–diffusion problems with exponential layers on Shishkin triangular meshes and hybrid meshes, Applied Mathematics and Computation, 2017, 307：244-256.
13.Xiaowei Liu，Jin Zhang，Analysis of the SDFEM in a streamline diffusion norm for singularly perturbed convection diffusion problems, Applied Mathematics Letters, 2017,69:61-66.
14.Xiaowei Liu，Jin Zhang，Asymptotic behavior of solutions of a reaction diffusion equation with inhomogeneous Robin boundary condition and free boundary condition，Nonlinear Analysis: Real World Applications, 2016, 28：126-139.
15.Jin Zhang，Xiaowei Liu，Min Yang，Optimal order L^2 error estimate of SDFEM on Shishkin triangular meshes for singularly perturbed convection diffusion equations，SIAM Journal on Numerical Analysis, 2016, 54(4): 2060-2080.
16.Xiaowei Liu, Bendong Lou, On a reaction–diffusion equation with Robin and free boundary conditions, Journal of Differential Equations, 2015, 259 (2): 423-453.
17.Xiaowei Liu, Jin Zhang, Analysis of the SDFEM for convection-diffusion problems with characteristic layers, Applied Mathematics and Computation, 2015, 262：326-334.
18.Xiaowei Liu, Bendong Lou, Asymptotic Behavior of Solutions to Diffusion Problems with Robin and Free Boundary Conditions, Mathematical Modelling of Natural Phenomena, 2013, 8(3): 18-32.
指导硕士研究生
刘莎莎 2021级 发表SCI一区论文1篇，获山东省研究生创新成果奖
朱雪格 2020级 发表SCI二区论文1篇，于中国地质大学攻读博士学位
张顺芹 2020级 发表SCI二区论文1篇，于山东沂南县一中就职
安然 2019级 发表EI论文2篇，于枣庄科技职业学院就职
田十方 2019级 发表SCI三区论文1篇，于宁波大学攻读博士学位
毛俊杰 2018级 发表SCI三区论文1篇，于江西工程学院就职
联系方式
E-mail：liuxw@qlu.edu.cn
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